Banchoff polytope net flexed

3D Model

This is the polytope Thomas Banchoff used in his PhD thesis. It is a 2D surface lying in 6-space, using all the vertices and edges of the 6-cube, but only 2/5 of the faces. Here, the struts are colored to correspond to the six different dimensions, and parallel faces are colored uniformly.

The net forms the polytope by identifying front with back, left with right, and top with bottom.