"jr" <cre### [at] gmailcom> wrote:

> not possible to tell from the image, but could the curve actually be "travelled"
> like a rollercoaster ?  in which case my comment is: please make an animation,
> seen from a visitor "riding the car" perspective.

Looks very much like a 600-cell

https://www.dimensions-math.org/Dim_E.htm

https://en.wikipedia.org/wiki/Regular_4-polytope#Regular_convex_4-polytopes

You'd need some way to convert the implicit formula describing the surface to
some sort of path, probably a set of parametric equations, or if there exist
discrete vertices - a way to order them so that a path could be calculated.  I'd
probably try using a maze-solving algorithm of some sort.

You might try posting the source for that shape somewhere like Stack Exchange,
Stack Overflow, other math forums, or find someone who works in the 4D shape
field who would find such a challenge an enjoyable puzzle.

Heck - ask Jos or Etienne who did the Dimensions movie.

- BW

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And of course, I forgot to mention Stephane Laurent, who codes in multiple
languages _including POV-Ray SDL_ and is a complete mathematical maniac.

https://www.r-bloggers.com/2020/02/drawing-a-stereographic-duoprism/

We need to bribe this man to be part of the dev team.  :D

- BW

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