12. Polygon Interior Angle
Pentagon 108
The interior angles do not add
108+108+108 = 324
up to 360o, therefore it means
108+108+108+108 = 432
that regular pentagons do not
tessellate.
Polygon Interior Angle
Octagon 135
The interior angles do not add
135+135 = 270 up to 360o, therefore it means
135+135+135 = 405 that regular octagons do not
tessellate.
13.
14. Tessellation must tile a floor with no overlapping or gaps, and they
should be regular polygons.
To tessellate using the regular polygons, you need to use the ones that
their interior angles add up to 360 degrees.
For triangles: interior angle = 60 degrees
60+60+60+60+60+60 = 360
For squares: interior angle = 90 degrees
90+90+90+90 = 360
For hexagons: interior angle = 120 degrees
120+120+120 = 360
For pentagons: interior angle = 108 degrees
108+108+108 = 324
