2 Frequency Geodesic
If you take the time to understand this figure, you will discover
that the envelope is made up of 80 triangular faces (40 of them
on the side closest to you are bordered in blue). Topologically
the envelope is an Icosidodecahedron with its pentagonal faces
stellated. I believe Buckminster Fuller would describe this as
a 2 Frequency Geodesic. I am not certain that all the vertices
lie on the surface of a sphere, non-the-less the elements of a
Geodesic are present. This figure has not been rotated in 4-space
prior to it's projection into 3-space. That is, the vertices are
located where positioned by Coxeter in Regular Polytopes. It has
been rotated in 3-space to reveal as much information as possible.
Before you attempt to count the 600 tetrahedral cells you should
realize that some of the edges are superimposed! |
