Tom Banchoff and Charles Gunn
The 10-cell is a regular tessellation of the three-dimensional
sphere by 10 identical truncated tetrahedra (TT). Its rich and
complex symmetry is portrayed in this short film. Each TT is paired
with its polar partner in the same color. The movie begins by
showing how six of the 10 fundamental regions can be generated by a
screw motion around one line (which appears as a fixed circular tube
with a 3-color stripe). This motion is repeated with a boundary
framework, and then using full size for the fundamental regions.
Then we fly along the polar line (which goes perpendicular into the
screen). Straight lines appear as circles since the movie is
rendering using conformal curvilinear perspective (see C. Gunn,
"Rendering the Whole World ...", Bridges 2013). The movie is without
narration, but with special musical score composed by Luis Vera.