# Mathematical Experiment 5

No class on March 26

 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 plane 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. Let £n denote the golden ratio £n = . the vertices may be placed on  [+£n, +1, 0],  [0, +£n, +1],  [+1,0, +£n]. ¡@
 Join 12 cylinders of the same size symmetrically as thus:
 Let £n denote the golden ratio £n = . Illustrate this interesting fact: the points  [+£n, +£n-1, 0], [0, +£n, +£n-1], [+£n-1, 0, +£n], [+1, +1, +1] comprise the vertices of a regular dodecahedron.
 Construct the small stellated dodecahedron using the library geom3d: Construct the small stellated dodecahedron using the library plottools: