x2 + y2 = 1
lying between the planes z= -1 and z = x.
| Construct the part of the cylinder x2 + y2 = 1 lying between the planes z= -1 and z = x. |
|
| Combine the above surface with its reflection across the place x = z to form this model. |
|
| Join four cylinders of the same size symmetrically as thus: |
|
| Join eight cylinders of the same size symmetrically as thus: |
|
| Join six cylinders of the same size symmetrically as thus: |
|
| Construct three mutually orthogonal "golden rectangles" whose 12 vertices form a regular icosahedron. |
|
| Join 12 cylinders of the same size symmetrically as thus: |
|
| Let
τ
denote the golden ratio
τ =
Illustrate this interesting fact: the points [+τ, +τ-1, 0], [0, +τ, +τ-1], [+τ-1, 0, +τ], [+1, +1, +1] comprise the vertices of a regular dodecahedron.
|
|
.
