Stellation of 4D Regulars

Discussion of tapertopes, uniform polytopes, and other shapes with flat hypercells.

Stellation of 4D Regulars

Postby ndl » Wed Jul 31, 2019 3:32 am

I have been trying to create the 3D stellation patterns for the 4D convex regulars. I was able to do the simpler ones (hex and ico) but when it comes to the larger ones I'm having trouble finding an easy way to figure out how far from the center the planes are. Hi has 7 levels of planes (as can be easily noted from the fact that the dual ex has 7 types of chords) but I can't figure out with certainty the radius of each set. Any easy solution? Thanks.

Here are some pictures of the stellations I created in a program called vZome:

16-cell stellation pattern.JPG
16-cell stellation pattern.JPG (85.94 KiB) Viewed 84 times


24-cell stellation pattern.JPG
24-cell stellation pattern.JPG (69.26 KiB) Viewed 84 times
ndl
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