Polytope Bubble Images

Copyright by John M. Sullivan


Back to my other Mathematical Images.

For three of the six regular polytopes in four dimensional space, the stereographic projection has the geometry of a bubble cluster. Here we see two projected images of the dodecaplex or 120-cell, and one of the hypercube or 8-cell. These images are from my article "Generating and Rendering Four-Dimensional Polytopes", [S1].

I have also written a java applet to illustrate the same kind of stereographic projection down one dimension, where regular polyhdra project to planar bubble clusters.