That's pretty neat! A bit like the language that Richard Coyle speaks in an episode of Coupling where it seems to be Portuguese, and then Romanian... and eventually after trying to comprehend it in both you realize he's ad-libbed an entire coherent language. So not just random noises but something that sounds like a complete, coherent language which drives you nuts trying to understand it.
skrebbel 1 days ago [-]
I don’t understand what this is. Wikipedia says a uniform polyhedron means that all faces are regular. If all faces are regular, that means its edges are all the same length right? And corners the same angles. But if I look at the photo I can’t find a single face that has that property. Am I looking wrong or am I simply misunderstanding what I’m looking at?
ffhh 1 days ago [-]
You are assuming that the faces don't intersect, and that the faces have edges that don't intersect. The easiest example of a polyhedron with self-intersecting behavior to wrap your head around is IMO the small stellated dodecahedron, made from twelve pentagrams.
https://en.wikipedia.org/wiki/Great_dirhombicosidodecahedron...
If you want to dive in a bit into strange polyhedra, I can really recommend this YouTube video: https://www.youtube.com/watch?v=_hjRvZYkAgA
(also TIL a 5-pointed star counts as a regular polygon, feels like cheating somehow)
https://www.software3d.com/Stella.php
Clay might be a difficult material to use to make it though.
I'd imagine it could probably be made via CNC or 3D printing or similar.
Should probably start slightly less ambitiously though :P.