Polychorons are the 4D version of polyhedrons. One way to visualize a polychoron is to apply a 4D to 3D stereographic projection to it. A dodecaplex is a uniform 4D polychoron composed 120 dodecahedral cells. These cells can be divided into 12 rings (Hopf fibrations) of 10 cells each. This picture shows a stereographic projection of 6 rings of the dodecaplex. Each ring is shown in a different color, but only 5 rings are open to direct view because they are wrapped around the 6th ring. I first saw this concept on Matthias Weber’s book page. Click here to download some POV-Ray code.
Links
- Jenn 3D – polytope program, by Fritz Obermeyer
- The HyperSphere, from an Artistic point of View – explanation by Rebecca Frankel
- 120 Cell Soap Bubbles – by John Sullivan
- Regular Polytopes – Mathematica notebook by Russell Towle
- 4D Star Polytope Animations – data by Russell Towle
- POV-Ray include files – by Russell Towle
- Magic 120 Cell – OpenGL program by Roice Nelson, et al.
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Paul Nylander 
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