Your class had all but one regular tessellation of the plane! Vertex Arrangements in 2D and 3D

3,3,4,3,4

6, 6, 6

4, 4, 4, 4

3, 3, 3, 4, 4

3, 3, 3, 3, 3, 3

3, 12, 12

3, 3, 3, 3, 6

3, 6, 3, 6

3, 4, 6, 4

4, 6, 12

4, 8, 8

Today we move into 3D What happens if the vertex arrangement gives angles that add to less than 360 o ? Let’s try triangles! What about squares alone? Can we do this with pentagons? And what about hexagons?

What happens when mix your shapes, but keep the same vertex arrangement? See page 622: What are the vertex arrangement of semi regular solids that are given? Which ones can we build?

All of this is fun, but we can Paper Geodesic Domes Montage! Your Assignment