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 360o?

• 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