Polytope Bubble Images

Copyright by John M. Sullivan

https://faculty.math.illinois.edu/~jms
jms@math.uiuc.edu

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.