your class had all but one regular tessellation of the plane! vertex arrangements in 2d and 3d
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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
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