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Fooling The Eye
                    Brunelleschi, Alberti & Linear Perspective

                               Professor Will Adams
                                  Valencia College



Tuesday, February 26, 13
THE INVENTION OF LINEAR PERSPECTIVE




Tuesday, February 26, 13
WHAT IS LINEAR PERSPECTIVE?




Tuesday, February 26, 13
WHAT IS LINEAR PERSPECTIVE?
         Linear perspective is a
          system for creating the
          illusion of a three-
          dimensional space on a two-
          dimensional, flat surface.




Tuesday, February 26, 13
WHAT IS LINEAR PERSPECTIVE?
         Linear perspective is a
          system for creating the
          illusion of a three-
          dimensional space on a two-
          dimensional, flat surface.
         It was discovered in
          Florence, Italy in the early
          15th century by Filippo
          Brunelleschi & Leon Batista
          Alberti.


Tuesday, February 26, 13
DEVELOPING LINEAR PERSPECTIVE
                              Filippo Brunelleschi
                               (1377-1446 CE) was the
                               Italian sculptor and architect
                               who demonstrated the
                               principles of perspective
                               through optics.
                              In 1415 CE, Brunelleschi
                               painted a picture of the
                               Florentine Baptistery on the
                               surface of a small mirror,
                               right on top of its own
                               reflection.

Tuesday, February 26, 13
DEVELOPING LINEAR PERSPECTIVE




Tuesday, February 26, 13
DEVELOPING LINEAR PERSPECTIVE
       To demonstrate the fact that his
        painting was indeed an exact replica that
        could fool the eye, Brunelleschi drilled a
        small hole in the mirror and then stood
        directly in front of the Baptistery,
        looking through the peephole to see the
        real building. 




Tuesday, February 26, 13
DEVELOPING LINEAR PERSPECTIVE
       To demonstrate the fact that his
        painting was indeed an exact replica that
        could fool the eye, Brunelleschi drilled a
        small hole in the mirror and then stood
        directly in front of the Baptistery,
        looking through the peephole to see the
        real building. 
       He then held up a second, clean mirror in
        front of his painted panel.  The second
        mirror blocked the view of the real
        building, but now reflected his painted
        version on the original mirror.



Tuesday, February 26, 13
DEVELOPING LINEAR PERSPECTIVE




Tuesday, February 26, 13
DEVELOPING LINEAR PERSPECTIVE




Tuesday, February 26, 13
DEVELOPING LINEAR PERSPECTIVE
                              By holding up the panel and
                               pressing the hole to one eye
                               while holding a mirror with
                               the other hand, the viewer
                               could see the painting’s
                               reflection.




Tuesday, February 26, 13
DEVELOPING LINEAR PERSPECTIVE
                              By holding up the panel and
                               pressing the hole to one eye
                               while holding a mirror with
                               the other hand, the viewer
                               could see the painting’s
                               reflection.
                              A viewer standing in the
                               cathedral doorway could check
                               the painted illusion against the
                               real view.


Tuesday, February 26, 13
LEON BATTISTA ALBERTI




Tuesday, February 26, 13
LEON BATTISTA ALBERTI
       Alberti (1404-1472) was an architect
        and writer who first formulates rules
        that artists could follow to create
        perspectival work.




Tuesday, February 26, 13
LEON BATTISTA ALBERTI
       Alberti (1404-1472) was an architect
        and writer who first formulates rules
        that artists could follow to create
        perspectival work.
       He imagined the picture surface as an
        “open window” through which a painted
        world is seen.




Tuesday, February 26, 13
LEON BATTISTA ALBERTI
       Alberti (1404-1472) was an architect
        and writer who first formulates rules
        that artists could follow to create
        perspectival work.
       He imagined the picture surface as an
        “open window” through which a painted
        world is seen.
       Showed how a perspective
        “checkerboard pavement” is created
        within the picture space - in which the
        receding parallel lines represent the
        visual rays connecting the spectator’s
        eye to a spot in the distance.



Tuesday, February 26, 13
LEON BATTISTA ALBERTI




      Based his system on the height of the human figure, being 3 braccia tall
      Drew a rectangular picture plane, imagined as an open window
      Divided the ground line into 6 scaled braccia
      Fixed the central vanishing point by drawing a vertical line three braccia high from the center
       of the ground line
      Drew diagonals – orthogonals - joining the ground line to the vanishing point

Tuesday, February 26, 13
USING LINEAR PERSPECTIVE




Tuesday, February 26, 13
USING LINEAR PERSPECTIVE
       Brunelleschi used the knowledge of
        perspective for architectural
        purposes.




Tuesday, February 26, 13
USING LINEAR PERSPECTIVE
       Brunelleschi used the knowledge of
        perspective for architectural
        purposes.
       He is said to have made a ground
        plan for the Church of Santo
        Spirito on the basis of which he
        produced a perspective drawing to
        show his clients how it would look
        after it was built.




Tuesday, February 26, 13
USING LINEAR PERSPECTIVE
       Brunelleschi used the knowledge of
        perspective for architectural
        purposes.
       He is said to have made a ground
        plan for the Church of Santo
        Spirito on the basis of which he
        produced a perspective drawing to
        show his clients how it would look
        after it was built.
       We can compare this drawing with a
        modern photo of the actual church.



Tuesday, February 26, 13
USING LINEAR PERSPECTIVE
       Brunelleschi’s proposal drawing of   A photograph of the interior of Santo
         Santo Spirito, dated 1543                Spirito as it looks today.




Tuesday, February 26, 13
USING LINEAR PERSPECTIVE
       Brunelleschi’s proposal drawing of   A photograph of the interior of Santo
         Santo Spirito, dated 1543                Spirito as it looks today.




Tuesday, February 26, 13
ONE-POINT PERSPECTIVE



Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
           LINEAR PERSPECTIVE




Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
          LINEAR PERSPECTIVE
       Based on the way the human
        eye sees the world.




Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
          LINEAR PERSPECTIVE
       Based on the way the human
        eye sees the world.
       Objects that are closer appear
        larger, more distant objects
        appear smaller.




Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
          LINEAR PERSPECTIVE
       Based on the way the human
        eye sees the world.
       Objects that are closer appear
        larger, more distant objects
        appear smaller.
       To create the illusion of space
        the artist creates a vanishing
        point on the horizon line.




Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
          LINEAR PERSPECTIVE
       Based on the way the human
        eye sees the world.
       Objects that are closer appear
        larger, more distant objects
        appear smaller.
       To create the illusion of space
        the artist creates a vanishing
        point on the horizon line.
       Objects are drawn using
        orthogonal lines, which lead to
        the vanishing point.

Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
                              Horizon Line: The place
                               where the land and the sky
                               meet.
                              Vanishing Point: The single
                               point on the horizon where
                               all the lines on the ground
                               level seem to come together.
                              Orthogonals: Lines that
                               connect to the vanishing
                               point.

Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
                              Horizon Line: The place
                               where the land and the sky
                               meet.
                              Vanishing Point: The single
                               point on the horizon where
                               all the lines on the ground
                               level seem to come together.
                              Orthogonals: Lines that
                               connect to the vanishing
                               point.

Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
                              Horizon Line: The place
                               where the land and the sky
                               meet.
                              Vanishing Point: The single
                               point on the horizon where
                               all the lines on the ground
                               level seem to come together.
                              Orthogonals: Lines that
                               connect to the vanishing
                               point.

Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
                              Horizon Line: The place
                               where the land and the sky
                               meet.
                              Vanishing Point: The single
                               point on the horizon where
                               all the lines on the ground
                               level seem to come together.
                              Orthogonals: Lines that
                               connect to the vanishing
                               point.

Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
                              Horizon Line: The place
                               where the land and the sky
                               meet.
                              Vanishing Point: The single
                               point on the horizon where
                               all the lines on the ground
                               level seem to come together.
                              Orthogonals: Lines that
                               connect to the vanishing
                               point.

Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
                              Horizon Line: The place
                               where the land and the sky
                               meet.
                              Vanishing Point: The single
                               point on the horizon where
                               all the lines on the ground
                               level seem to come together.
                              Orthogonals: Lines that
                               connect to the vanishing
                               point.

Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
                              Horizon Line: The place
                               where the land and the sky
                               meet.
                              Vanishing Point: The single
                               point on the horizon where
                               all the lines on the ground
                               level seem to come together.
                              Orthogonals: Lines that
                               connect to the vanishing
                               point.

Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




                             Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




                             Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




                             Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




                             Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




                             Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




                             Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




                             Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




                             Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

                      Orthogonals




                                Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

                      Orthogonals




                                Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

                      Orthogonals




                                Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

                      Orthogonals




                                Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

                      Orthogonals




                                Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

                      Orthogonals




                                Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

                      Orthogonals




                                Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

                                                  Vanishing point!
                      Orthogonals




                                Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

                                                  Vanishing point!
                      Orthogonals




                                Horizon Line



         In one-point perspective, the vanishing point can be at any location along the
                   horizon line; where is the vanishing point in this example?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line




          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line




          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line




          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line




          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line




          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line




          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line

                                            Orthogonals

          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line

                                            Orthogonals

          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line

                                            Orthogonals

          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line

                                            Orthogonals

          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line

                                            Orthogonals

          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




        Horizon Line

                                            Orthogonals

          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE


                                            Vanishing Point!



        Horizon Line

                                            Orthogonals

          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE


                                            Vanishing Point!



        Horizon Line

                                            Orthogonals

          In this painting, Little Street, by Vermeer, the vanishing point is hidden by the
                                    building itself; can you locate it?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE



                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE



                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE



                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE



                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE



                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

         Orthogonals


                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

         Orthogonals


                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

         Orthogonals


                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

         Orthogonals


                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

         Orthogonals


                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE

         Orthogonals


                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
                                       Vanishing Point!

         Orthogonals


                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
ONE-POINT PERSPECTIVE
                                       Vanishing Point!

         Orthogonals


                      Horizon Line




     Sometimes the vanishing point can be obscured by subjects within the composition or
      placed outside the picture plane itself; where is it in da Vinci’s The Last Supper?
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                              In two-point perspective, there
                               are two vanishing points located
                               along the horizon line.
                              This allows an artist to create
                               a three-quarter view of a
                               structure, as if you are standing
                               at the corner of a city block.
                              Horizon Line
                              Front edge (corner)
                              Orthogonals
                              Vanishing points



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
       Notice how the corner of the
        building is facing the viewer.
       This is a simple example of
        two-point perspective.
       Where are the vanishing
        points?
       Sometimes vanishing points
        are not on the picture plane
        at all!

Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
       How To Create A Basic Image In Two-Point Perspective
       Draw in the horizon line across the picture plane and place a vanishing point
        at either end of it.
       Draw a vertical front edge line toward the center of the picture plane
        between the ground line & horizon line.
       Draw orthogonals from the top & bottom ends of the front edge line to
        the left & right vanishing points, respectively.
       Within each of the triangles the orthogonals create on either side of the
        front edge, draw in a vertical back edge line.
       The, from the top, outside corners of each back edge, draw orthogonal
        lines connecting them to the opposite vanishing points.
       Voila! A box rendered in two-point perspective!



Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE

    Horizon line




       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE

    Horizon line




       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE

    Horizon line




       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                             Vanishing points



    Horizon line




       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                             Vanishing points



    Horizon line




       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                             Vanishing points



    Horizon line




       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line




                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line




                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line




                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line




                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line




                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line




                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line

      Orthogonals                                           Orthogonals

                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line

      Orthogonals                                           Orthogonals

                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line

      Orthogonals                                           Orthogonals

                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line

      Orthogonals                                           Orthogonals

                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line

      Orthogonals                                               Orthogonals
                                                       Back edges
                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line

      Orthogonals                                               Orthogonals
                                                       Back edges
                           Front edge


       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line

      Orthogonals                                               Orthogonals
                                                       Back edges
                           Front edge
     WALLS!
       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line

      Orthogonals                                               Orthogonals
                                                       Back edges
                           Front edge
     WALLS!
       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line

      Orthogonals                                               Orthogonals
                                                       Back edges
                           Front edge
     WALLS!
       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line
                                                                       Back orthogonals

      Orthogonals                                               Orthogonals
                                                       Back edges
                           Front edge
     WALLS!
       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line
                                                                       Back orthogonals

      Orthogonals                                               Orthogonals
                                                       Back edges
                           Front edge
     WALLS!
       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line
                                                                       Back orthogonals

      Orthogonals                                               Orthogonals
                                                       Back edges
                           Front edge
     WALLS! ROOF!
       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE
                                    Vanishing points



    Horizon line
                                                                       Back orthogonals

      Orthogonals                                               Orthogonals
                                                       Back edges
                           Front edge
     WALLS! ROOF!                                       THERE’S YOUR BOX!
       Any structure’s form can be reduced to a simple box. All convergent lines are
        drawn from each of the corners. Notice how the side of the box must be
                                   perfectly vertical.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




          Next, try lowering the horizon line. Notice that the viewer’s position in
      relationship to the box appears lower. Also, note that if the front edge is
              higher than the horizon line, the box’s roof will be invisible.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




          Next, try lowering the horizon line. Notice that the viewer’s position in
      relationship to the box appears lower. Also, note that if the front edge is
              higher than the horizon line, the box’s roof will be invisible.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




          Next, try lowering the horizon line. Notice that the viewer’s position in
      relationship to the box appears lower. Also, note that if the front edge is
              higher than the horizon line, the box’s roof will be invisible.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




          Next, try lowering the horizon line. Notice that the viewer’s position in
      relationship to the box appears lower. Also, note that if the front edge is
              higher than the horizon line, the box’s roof will be invisible.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




          Next, try lowering the horizon line. Notice that the viewer’s position in
      relationship to the box appears lower. Also, note that if the front edge is
              higher than the horizon line, the box’s roof will be invisible.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




          Next, try lowering the horizon line. Notice that the viewer’s position in
      relationship to the box appears lower. Also, note that if the front edge is
              higher than the horizon line, the box’s roof will be invisible.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




          Next, try lowering the horizon line. Notice that the viewer’s position in
      relationship to the box appears lower. Also, note that if the front edge is
              higher than the horizon line, the box’s roof will be invisible.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE


                                                Notice that the second
                                                 cube’s top is invisible
                                                because its front edge
                                                rises above the horizon
                                                          line!

  For a greater challenge, begin stacking boxes atop one another and
        adding additional boxes along the bottom orthogonals.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
TWO-POINT PERSPECTIVE




    Finally, add details like windows, doors, or signs to your boxes to give them
    visual interest. To do this, simply draw bands stretching from the box’s
                       front edge back to the vanishing point.
Tuesday, February 26, 13
Tuesday, February 26, 13
Tuesday, February 26, 13
FINE



Tuesday, February 26, 13

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Fooling The Eye: Brunelleschi, Alberti, & Linear Perspective

  • 1. Fooling The Eye Brunelleschi, Alberti & Linear Perspective Professor Will Adams Valencia College Tuesday, February 26, 13
  • 2. THE INVENTION OF LINEAR PERSPECTIVE Tuesday, February 26, 13
  • 3. WHAT IS LINEAR PERSPECTIVE? Tuesday, February 26, 13
  • 4. WHAT IS LINEAR PERSPECTIVE?  Linear perspective is a system for creating the illusion of a three- dimensional space on a two- dimensional, flat surface. Tuesday, February 26, 13
  • 5. WHAT IS LINEAR PERSPECTIVE?  Linear perspective is a system for creating the illusion of a three- dimensional space on a two- dimensional, flat surface.  It was discovered in Florence, Italy in the early 15th century by Filippo Brunelleschi & Leon Batista Alberti. Tuesday, February 26, 13
  • 6. DEVELOPING LINEAR PERSPECTIVE  Filippo Brunelleschi (1377-1446 CE) was the Italian sculptor and architect who demonstrated the principles of perspective through optics.  In 1415 CE, Brunelleschi painted a picture of the Florentine Baptistery on the surface of a small mirror, right on top of its own reflection. Tuesday, February 26, 13
  • 8. DEVELOPING LINEAR PERSPECTIVE  To demonstrate the fact that his painting was indeed an exact replica that could fool the eye, Brunelleschi drilled a small hole in the mirror and then stood directly in front of the Baptistery, looking through the peephole to see the real building.  Tuesday, February 26, 13
  • 9. DEVELOPING LINEAR PERSPECTIVE  To demonstrate the fact that his painting was indeed an exact replica that could fool the eye, Brunelleschi drilled a small hole in the mirror and then stood directly in front of the Baptistery, looking through the peephole to see the real building.   He then held up a second, clean mirror in front of his painted panel.  The second mirror blocked the view of the real building, but now reflected his painted version on the original mirror. Tuesday, February 26, 13
  • 12. DEVELOPING LINEAR PERSPECTIVE  By holding up the panel and pressing the hole to one eye while holding a mirror with the other hand, the viewer could see the painting’s reflection. Tuesday, February 26, 13
  • 13. DEVELOPING LINEAR PERSPECTIVE  By holding up the panel and pressing the hole to one eye while holding a mirror with the other hand, the viewer could see the painting’s reflection.  A viewer standing in the cathedral doorway could check the painted illusion against the real view. Tuesday, February 26, 13
  • 15. LEON BATTISTA ALBERTI  Alberti (1404-1472) was an architect and writer who first formulates rules that artists could follow to create perspectival work. Tuesday, February 26, 13
  • 16. LEON BATTISTA ALBERTI  Alberti (1404-1472) was an architect and writer who first formulates rules that artists could follow to create perspectival work.  He imagined the picture surface as an “open window” through which a painted world is seen. Tuesday, February 26, 13
  • 17. LEON BATTISTA ALBERTI  Alberti (1404-1472) was an architect and writer who first formulates rules that artists could follow to create perspectival work.  He imagined the picture surface as an “open window” through which a painted world is seen.  Showed how a perspective “checkerboard pavement” is created within the picture space - in which the receding parallel lines represent the visual rays connecting the spectator’s eye to a spot in the distance. Tuesday, February 26, 13
  • 18. LEON BATTISTA ALBERTI  Based his system on the height of the human figure, being 3 braccia tall  Drew a rectangular picture plane, imagined as an open window  Divided the ground line into 6 scaled braccia  Fixed the central vanishing point by drawing a vertical line three braccia high from the center of the ground line  Drew diagonals – orthogonals - joining the ground line to the vanishing point Tuesday, February 26, 13
  • 20. USING LINEAR PERSPECTIVE  Brunelleschi used the knowledge of perspective for architectural purposes. Tuesday, February 26, 13
  • 21. USING LINEAR PERSPECTIVE  Brunelleschi used the knowledge of perspective for architectural purposes.  He is said to have made a ground plan for the Church of Santo Spirito on the basis of which he produced a perspective drawing to show his clients how it would look after it was built. Tuesday, February 26, 13
  • 22. USING LINEAR PERSPECTIVE  Brunelleschi used the knowledge of perspective for architectural purposes.  He is said to have made a ground plan for the Church of Santo Spirito on the basis of which he produced a perspective drawing to show his clients how it would look after it was built.  We can compare this drawing with a modern photo of the actual church. Tuesday, February 26, 13
  • 23. USING LINEAR PERSPECTIVE Brunelleschi’s proposal drawing of A photograph of the interior of Santo Santo Spirito, dated 1543 Spirito as it looks today. Tuesday, February 26, 13
  • 24. USING LINEAR PERSPECTIVE Brunelleschi’s proposal drawing of A photograph of the interior of Santo Santo Spirito, dated 1543 Spirito as it looks today. Tuesday, February 26, 13
  • 27. ONE-POINT PERSPECTIVE LINEAR PERSPECTIVE Tuesday, February 26, 13
  • 28. ONE-POINT PERSPECTIVE LINEAR PERSPECTIVE  Based on the way the human eye sees the world. Tuesday, February 26, 13
  • 29. ONE-POINT PERSPECTIVE LINEAR PERSPECTIVE  Based on the way the human eye sees the world.  Objects that are closer appear larger, more distant objects appear smaller. Tuesday, February 26, 13
  • 30. ONE-POINT PERSPECTIVE LINEAR PERSPECTIVE  Based on the way the human eye sees the world.  Objects that are closer appear larger, more distant objects appear smaller.  To create the illusion of space the artist creates a vanishing point on the horizon line. Tuesday, February 26, 13
  • 31. ONE-POINT PERSPECTIVE LINEAR PERSPECTIVE  Based on the way the human eye sees the world.  Objects that are closer appear larger, more distant objects appear smaller.  To create the illusion of space the artist creates a vanishing point on the horizon line.  Objects are drawn using orthogonal lines, which lead to the vanishing point. Tuesday, February 26, 13
  • 32. ONE-POINT PERSPECTIVE  Horizon Line: The place where the land and the sky meet.  Vanishing Point: The single point on the horizon where all the lines on the ground level seem to come together.  Orthogonals: Lines that connect to the vanishing point. Tuesday, February 26, 13
  • 33. ONE-POINT PERSPECTIVE  Horizon Line: The place where the land and the sky meet.  Vanishing Point: The single point on the horizon where all the lines on the ground level seem to come together.  Orthogonals: Lines that connect to the vanishing point. Tuesday, February 26, 13
  • 34. ONE-POINT PERSPECTIVE  Horizon Line: The place where the land and the sky meet.  Vanishing Point: The single point on the horizon where all the lines on the ground level seem to come together.  Orthogonals: Lines that connect to the vanishing point. Tuesday, February 26, 13
  • 35. ONE-POINT PERSPECTIVE  Horizon Line: The place where the land and the sky meet.  Vanishing Point: The single point on the horizon where all the lines on the ground level seem to come together.  Orthogonals: Lines that connect to the vanishing point. Tuesday, February 26, 13
  • 36. ONE-POINT PERSPECTIVE  Horizon Line: The place where the land and the sky meet.  Vanishing Point: The single point on the horizon where all the lines on the ground level seem to come together.  Orthogonals: Lines that connect to the vanishing point. Tuesday, February 26, 13
  • 37. ONE-POINT PERSPECTIVE  Horizon Line: The place where the land and the sky meet.  Vanishing Point: The single point on the horizon where all the lines on the ground level seem to come together.  Orthogonals: Lines that connect to the vanishing point. Tuesday, February 26, 13
  • 38. ONE-POINT PERSPECTIVE  Horizon Line: The place where the land and the sky meet.  Vanishing Point: The single point on the horizon where all the lines on the ground level seem to come together.  Orthogonals: Lines that connect to the vanishing point. Tuesday, February 26, 13
  • 39. ONE-POINT PERSPECTIVE In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 40. ONE-POINT PERSPECTIVE In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 41. ONE-POINT PERSPECTIVE Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 42. ONE-POINT PERSPECTIVE Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 43. ONE-POINT PERSPECTIVE Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 44. ONE-POINT PERSPECTIVE Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 45. ONE-POINT PERSPECTIVE Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 46. ONE-POINT PERSPECTIVE Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 47. ONE-POINT PERSPECTIVE Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 48. ONE-POINT PERSPECTIVE Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 49. ONE-POINT PERSPECTIVE Orthogonals Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 50. ONE-POINT PERSPECTIVE Orthogonals Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 51. ONE-POINT PERSPECTIVE Orthogonals Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 52. ONE-POINT PERSPECTIVE Orthogonals Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 53. ONE-POINT PERSPECTIVE Orthogonals Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 54. ONE-POINT PERSPECTIVE Orthogonals Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 55. ONE-POINT PERSPECTIVE Orthogonals Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 56. ONE-POINT PERSPECTIVE Vanishing point! Orthogonals Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 57. ONE-POINT PERSPECTIVE Vanishing point! Orthogonals Horizon Line In one-point perspective, the vanishing point can be at any location along the horizon line; where is the vanishing point in this example? Tuesday, February 26, 13
  • 58. ONE-POINT PERSPECTIVE In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 59. ONE-POINT PERSPECTIVE In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 60. ONE-POINT PERSPECTIVE Horizon Line In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 61. ONE-POINT PERSPECTIVE Horizon Line In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 62. ONE-POINT PERSPECTIVE Horizon Line In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 63. ONE-POINT PERSPECTIVE Horizon Line In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 64. ONE-POINT PERSPECTIVE Horizon Line In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 65. ONE-POINT PERSPECTIVE Horizon Line In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 66. ONE-POINT PERSPECTIVE Horizon Line Orthogonals In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 67. ONE-POINT PERSPECTIVE Horizon Line Orthogonals In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 68. ONE-POINT PERSPECTIVE Horizon Line Orthogonals In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 69. ONE-POINT PERSPECTIVE Horizon Line Orthogonals In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 70. ONE-POINT PERSPECTIVE Horizon Line Orthogonals In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 71. ONE-POINT PERSPECTIVE Horizon Line Orthogonals In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 72. ONE-POINT PERSPECTIVE Vanishing Point! Horizon Line Orthogonals In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 73. ONE-POINT PERSPECTIVE Vanishing Point! Horizon Line Orthogonals In this painting, Little Street, by Vermeer, the vanishing point is hidden by the building itself; can you locate it? Tuesday, February 26, 13
  • 74. ONE-POINT PERSPECTIVE Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 75. ONE-POINT PERSPECTIVE Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 76. ONE-POINT PERSPECTIVE Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 77. ONE-POINT PERSPECTIVE Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 78. ONE-POINT PERSPECTIVE Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 79. ONE-POINT PERSPECTIVE Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 80. ONE-POINT PERSPECTIVE Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 81. ONE-POINT PERSPECTIVE Orthogonals Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 82. ONE-POINT PERSPECTIVE Orthogonals Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 83. ONE-POINT PERSPECTIVE Orthogonals Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 84. ONE-POINT PERSPECTIVE Orthogonals Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 85. ONE-POINT PERSPECTIVE Orthogonals Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 86. ONE-POINT PERSPECTIVE Orthogonals Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 87. ONE-POINT PERSPECTIVE Vanishing Point! Orthogonals Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 88. ONE-POINT PERSPECTIVE Vanishing Point! Orthogonals Horizon Line Sometimes the vanishing point can be obscured by subjects within the composition or placed outside the picture plane itself; where is it in da Vinci’s The Last Supper? Tuesday, February 26, 13
  • 90. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 91. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 92. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 93. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 94. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 95. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 96. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 97. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 98. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 99. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 100. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 101. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 102. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 103. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 104. TWO-POINT PERSPECTIVE  In two-point perspective, there are two vanishing points located along the horizon line.  This allows an artist to create a three-quarter view of a structure, as if you are standing at the corner of a city block.  Horizon Line  Front edge (corner)  Orthogonals  Vanishing points Tuesday, February 26, 13
  • 106. TWO-POINT PERSPECTIVE  Notice how the corner of the building is facing the viewer.  This is a simple example of two-point perspective.  Where are the vanishing points?  Sometimes vanishing points are not on the picture plane at all! Tuesday, February 26, 13
  • 107. TWO-POINT PERSPECTIVE How To Create A Basic Image In Two-Point Perspective  Draw in the horizon line across the picture plane and place a vanishing point at either end of it.  Draw a vertical front edge line toward the center of the picture plane between the ground line & horizon line.  Draw orthogonals from the top & bottom ends of the front edge line to the left & right vanishing points, respectively.  Within each of the triangles the orthogonals create on either side of the front edge, draw in a vertical back edge line.  The, from the top, outside corners of each back edge, draw orthogonal lines connecting them to the opposite vanishing points.  Voila! A box rendered in two-point perspective! Tuesday, February 26, 13
  • 108. TWO-POINT PERSPECTIVE Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 109. TWO-POINT PERSPECTIVE Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 110. TWO-POINT PERSPECTIVE Horizon line Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 111. TWO-POINT PERSPECTIVE Horizon line Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 112. TWO-POINT PERSPECTIVE Horizon line Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 113. TWO-POINT PERSPECTIVE Vanishing points Horizon line Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 114. TWO-POINT PERSPECTIVE Vanishing points Horizon line Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 115. TWO-POINT PERSPECTIVE Vanishing points Horizon line Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 116. TWO-POINT PERSPECTIVE Vanishing points Horizon line Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 117. TWO-POINT PERSPECTIVE Vanishing points Horizon line Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 118. TWO-POINT PERSPECTIVE Vanishing points Horizon line Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 119. TWO-POINT PERSPECTIVE Vanishing points Horizon line Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 120. TWO-POINT PERSPECTIVE Vanishing points Horizon line Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 121. TWO-POINT PERSPECTIVE Vanishing points Horizon line Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 122. TWO-POINT PERSPECTIVE Vanishing points Horizon line Orthogonals Orthogonals Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 123. TWO-POINT PERSPECTIVE Vanishing points Horizon line Orthogonals Orthogonals Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 124. TWO-POINT PERSPECTIVE Vanishing points Horizon line Orthogonals Orthogonals Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 125. TWO-POINT PERSPECTIVE Vanishing points Horizon line Orthogonals Orthogonals Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 126. TWO-POINT PERSPECTIVE Vanishing points Horizon line Orthogonals Orthogonals Back edges Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 127. TWO-POINT PERSPECTIVE Vanishing points Horizon line Orthogonals Orthogonals Back edges Front edge Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 128. TWO-POINT PERSPECTIVE Vanishing points Horizon line Orthogonals Orthogonals Back edges Front edge WALLS! Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 129. TWO-POINT PERSPECTIVE Vanishing points Horizon line Orthogonals Orthogonals Back edges Front edge WALLS! Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 130. TWO-POINT PERSPECTIVE Vanishing points Horizon line Orthogonals Orthogonals Back edges Front edge WALLS! Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 131. TWO-POINT PERSPECTIVE Vanishing points Horizon line Back orthogonals Orthogonals Orthogonals Back edges Front edge WALLS! Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 132. TWO-POINT PERSPECTIVE Vanishing points Horizon line Back orthogonals Orthogonals Orthogonals Back edges Front edge WALLS! Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 133. TWO-POINT PERSPECTIVE Vanishing points Horizon line Back orthogonals Orthogonals Orthogonals Back edges Front edge WALLS! ROOF! Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 134. TWO-POINT PERSPECTIVE Vanishing points Horizon line Back orthogonals Orthogonals Orthogonals Back edges Front edge WALLS! ROOF! THERE’S YOUR BOX! Any structure’s form can be reduced to a simple box. All convergent lines are drawn from each of the corners. Notice how the side of the box must be perfectly vertical. Tuesday, February 26, 13
  • 135. TWO-POINT PERSPECTIVE Next, try lowering the horizon line. Notice that the viewer’s position in relationship to the box appears lower. Also, note that if the front edge is higher than the horizon line, the box’s roof will be invisible. Tuesday, February 26, 13
  • 136. TWO-POINT PERSPECTIVE Next, try lowering the horizon line. Notice that the viewer’s position in relationship to the box appears lower. Also, note that if the front edge is higher than the horizon line, the box’s roof will be invisible. Tuesday, February 26, 13
  • 137. TWO-POINT PERSPECTIVE Next, try lowering the horizon line. Notice that the viewer’s position in relationship to the box appears lower. Also, note that if the front edge is higher than the horizon line, the box’s roof will be invisible. Tuesday, February 26, 13
  • 138. TWO-POINT PERSPECTIVE Next, try lowering the horizon line. Notice that the viewer’s position in relationship to the box appears lower. Also, note that if the front edge is higher than the horizon line, the box’s roof will be invisible. Tuesday, February 26, 13
  • 139. TWO-POINT PERSPECTIVE Next, try lowering the horizon line. Notice that the viewer’s position in relationship to the box appears lower. Also, note that if the front edge is higher than the horizon line, the box’s roof will be invisible. Tuesday, February 26, 13
  • 140. TWO-POINT PERSPECTIVE Next, try lowering the horizon line. Notice that the viewer’s position in relationship to the box appears lower. Also, note that if the front edge is higher than the horizon line, the box’s roof will be invisible. Tuesday, February 26, 13
  • 141. TWO-POINT PERSPECTIVE Next, try lowering the horizon line. Notice that the viewer’s position in relationship to the box appears lower. Also, note that if the front edge is higher than the horizon line, the box’s roof will be invisible. Tuesday, February 26, 13
  • 142. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 143. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 144. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 145. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 146. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 147. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 148. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 149. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 150. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 151. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 152. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 153. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 154. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 155. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 156. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 157. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 158. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 159. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 160. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 161. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 162. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 163. TWO-POINT PERSPECTIVE For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 164. TWO-POINT PERSPECTIVE Notice that the second cube’s top is invisible because its front edge rises above the horizon line! For a greater challenge, begin stacking boxes atop one another and adding additional boxes along the bottom orthogonals. Tuesday, February 26, 13
  • 165. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 166. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 167. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 168. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 169. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 170. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 171. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 172. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 173. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 174. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 175. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 176. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 177. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 178. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 179. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 180. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 181. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 182. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 183. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 184. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 185. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 186. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 187. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 188. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 189. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 190. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 191. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 192. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 193. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 194. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 195. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 196. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 197. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 198. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 199. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13
  • 200. TWO-POINT PERSPECTIVE Finally, add details like windows, doors, or signs to your boxes to give them visual interest. To do this, simply draw bands stretching from the box’s front edge back to the vanishing point. Tuesday, February 26, 13