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REPRESENTATION
    SYSTEMS
WHEN WE WANT TO MAKE A
DRAWING OR PAINTING WE
USUALLY WANT TO
REPRESENT THE THREE
DIMENSIONS OF THE REALITY
ON THE TWO DIMENSIONS OF
THE SURFACE WE ARE
WORKING ON.
HOW TO DO IT?
WE CAN MAKE A DIFFERENCE BETWEEN




  SUBJECTIVE WORKS
  OBJECTIVE WORKS
IF WE ARE TALKING
ABOUT SUBJECTIVE
WORKS (PAINTINGS,
DRAWINGS...)
WE USE DIFFERENT MEANS
representation systems - 3º ESO
                                                                       montserrat llamas blanco



  we use different means
                                        size


                                               overlapping


                                                             atmospheric perspective




                   linear perspective



                                                                                                  7
AND IF WE TALK ABOUT
OBJECTIVE
WORKS(TECHNICAL
DRAWINGS, DESIGNS...)
WE USE WHAT IS CALLED


"REPRESENTATION
    SYSTEMS"
LET'S HAVE A LOOK AT THREE OF
THEM:
  representation systems - 3º ESO
                                    montserrat llamas blanco




    1. the orthographic system




                                                               13
LET'S HAVE A LOOK AT THREE OF
THEM:
   representation systems - 3º ESO
                                     montserrat llamas blanco




     2. the axonometric system




                                                                17
LET'S HAVE A LOOK AT THREE OF
THEM:
  representation systems - 3º ESO
                                    montserrat llamas blanco




    3. the linear system




                                                               18
ALL OF THE SYSTEMS ARE BASED
ON A CONCEPT CALLED



   "PROJECTION"
IT IS EASY TO UNDERSTAND THE CONCEPT USING A
SOURCE OF LIGHT, AN OBJECT AND THE SHADOW IT
PROJECTS ON THE GROUND
  representation systems - 3º ESO
                                                                                        montserrat llamas blanco




                                                            light = centre of projection

                   rays of light = projection rays

                                                                 object




                                                                  shadow = projection

                                ground = projection plane




                                                                                                                   21
THERE ARE THREE DIFFERENT KINDS OF
PROJECTION DEPENDING ON HOW THE CENTRE OF
PROJECTION AND THE PROJECTION RAYS ARE:




  linear projection   orthogonal cylindrical           oblique cylindrical
                           projection                      projection


                                      cylincrical projections
EACH REPRESENTATION
SYSTEM IS BASED ON ONE
OF THE PROJECTIONS. IT IS
WHAT MAKES THEM
DIFFERENT.

LET'S SEE IT:
representation systems - 3º ESO
                                                             montserrat llamas blanco




    orthogonal cylidrical                   all the rays are
    projection:                             parallel to each
                                            other and
                                  B
                                            perpendicular to
                      A                     the picture plane
                                       C



                                  B'
                                            ∝
                    A'
                                                 orthogonal system
                                       C'



                                                                                        24
representation systems - 3º ESO
                                                                montserrat llamas blanco




    oblique cylidrical
    projection:                                 all the rays are
                                                parallel to each
                                  B             other and oblique
                                                to the picture plane
     A
                                      C

                                          B'
                                                  ∝
                    A'
                                                      axonometric,
                                           C'         caballera and military
                                                      perspective


                                                                                           25
representation systems - 3º ESO
                                                                     montserrat llamas blanco




    linear projection:
                                                    all the rays come
                                               o    from a point called
                                                    the
                                                    centre of projection
                                           B
                                  A

                                                C
                                      B'
                                                    ∝
        A'
                                                          linear perspective

                                               C'

                                                                                                26
IN THE NEXT CHART
YOU CAN SEE WHICH
REPRESENTION
SYSTEM COME FROM
EACH PROJECTION
representation systems - 3º ESO
                                                              montserrat llamas blanco




                 projections         representation systems


           cylindrical orthogonal     orthographic system


                                      axonometric system
               cylindrical oblique
                                      caballera perspective

                                      military perspective



                                     one-point linear system
                            linear
                                     two-point linear system

                                                                                         28

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Representation systems

  • 1. REPRESENTATION SYSTEMS
  • 2. WHEN WE WANT TO MAKE A DRAWING OR PAINTING WE USUALLY WANT TO REPRESENT THE THREE DIMENSIONS OF THE REALITY ON THE TWO DIMENSIONS OF THE SURFACE WE ARE WORKING ON.
  • 3. HOW TO DO IT?
  • 4. WE CAN MAKE A DIFFERENCE BETWEEN SUBJECTIVE WORKS OBJECTIVE WORKS
  • 5. IF WE ARE TALKING ABOUT SUBJECTIVE WORKS (PAINTINGS, DRAWINGS...)
  • 6. WE USE DIFFERENT MEANS representation systems - 3º ESO montserrat llamas blanco we use different means size overlapping atmospheric perspective linear perspective 7
  • 7. AND IF WE TALK ABOUT OBJECTIVE WORKS(TECHNICAL DRAWINGS, DESIGNS...)
  • 8. WE USE WHAT IS CALLED "REPRESENTATION SYSTEMS"
  • 9. LET'S HAVE A LOOK AT THREE OF THEM: representation systems - 3º ESO montserrat llamas blanco 1. the orthographic system 13
  • 10. LET'S HAVE A LOOK AT THREE OF THEM: representation systems - 3º ESO montserrat llamas blanco 2. the axonometric system 17
  • 11. LET'S HAVE A LOOK AT THREE OF THEM: representation systems - 3º ESO montserrat llamas blanco 3. the linear system 18
  • 12. ALL OF THE SYSTEMS ARE BASED ON A CONCEPT CALLED "PROJECTION"
  • 13. IT IS EASY TO UNDERSTAND THE CONCEPT USING A SOURCE OF LIGHT, AN OBJECT AND THE SHADOW IT PROJECTS ON THE GROUND representation systems - 3º ESO montserrat llamas blanco light = centre of projection rays of light = projection rays object shadow = projection ground = projection plane 21
  • 14. THERE ARE THREE DIFFERENT KINDS OF PROJECTION DEPENDING ON HOW THE CENTRE OF PROJECTION AND THE PROJECTION RAYS ARE: linear projection orthogonal cylindrical oblique cylindrical projection projection cylincrical projections
  • 15. EACH REPRESENTATION SYSTEM IS BASED ON ONE OF THE PROJECTIONS. IT IS WHAT MAKES THEM DIFFERENT. LET'S SEE IT:
  • 16. representation systems - 3º ESO montserrat llamas blanco orthogonal cylidrical all the rays are projection: parallel to each other and B perpendicular to A the picture plane C B' ∝ A' orthogonal system C' 24
  • 17. representation systems - 3º ESO montserrat llamas blanco oblique cylidrical projection: all the rays are parallel to each B other and oblique to the picture plane A C B' ∝ A' axonometric, C' caballera and military perspective 25
  • 18. representation systems - 3º ESO montserrat llamas blanco linear projection: all the rays come o from a point called the centre of projection B A C B' ∝ A' linear perspective C' 26
  • 19. IN THE NEXT CHART YOU CAN SEE WHICH REPRESENTION SYSTEM COME FROM EACH PROJECTION
  • 20. representation systems - 3º ESO montserrat llamas blanco projections representation systems cylindrical orthogonal orthographic system axonometric system cylindrical oblique caballera perspective military perspective one-point linear system linear two-point linear system 28