Ödev
1. Fig 8.38 is made by dividing the faces of an icosahedron to triangles.
Determine V, F, E
2. Consider eight points on the plane: (±1,±a) (±a,±1)
Determine a so that they are the vertices of a regular octagon
3. Show that the points (0,1,2) ... (2,1,0) form a regular hexagon
(Use all permutations of 0, 1, and 2)
4. Consider the 20 vertices of the dodecahedron: (±1,±1,±1) (±a,±ϕ,0) (±ϕ,0,±a) (0,±a,±ϕ)
where ϕ = 1/a is the golden mean with a² = 1-a
Show that the vertices on the plane x+ay=ϕ form a regular pentagon with side 2a
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