Building 4D polytopes

April 3, 2019 4:03 AM

Years ago I stumbled upon the convex regular 4-polytopes - four-dimensional analogues of the Platonic solids. I did not understand the mathematics behind these structures back then - but recently I decided to figure out how this works. A richly illustrated and interactive page (that probably won't work well on mobile devices).
posted by Wolfdog (2 comments total)

For those interested in playing around with 4D objects, 4D Toys is available on Steam, and can work in VR. And for 3D and 4D polys in general, Robert Webb's Stella 4D is a wonderful tool for a slightly more rigorous exploration.
posted by domdib at 4:48 AM on April 3, 2019 [1 favorite]

https://www.youtube.com/watch?v=2s4TqVAbfz4

Also explains why things get boring at more than four dimensions.
posted by Nancy Lebovitz at 7:13 AM on April 3, 2019 [4 favorites]