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Polyhedra Viewer: app to explore the relationships and transformations between various convex polyhedra.

This has been a passion project of mine for the last six months (with different versions going back further!) It's partially inspired by George W Hart's virtual polyhedra (http://www.georgehart.com/virtual-polyhedra/vp.html) I wanted to make something accessible and beautiful, since a lot of the resources that already exist aren't very friendly to people not already obsessed with polyhedra.

I'm still (sort of) working on it, so suggestions and comments are welcome!




I immediately tried to construct my favorite obscure polyhedron (the rhombic dodecahedron) and found I simply could not take the dual of the cuboctahedron! :P

That aside, this is a really fantastic little toy here - I'd never really understood the relationships between all these shapes before, or exactly what some of these operations were, geometrically speaking.


> favorite obscure polyhedron (the rhombic dodecahedron)

Obscure? Come on! The rhombic dodecahedron is the Voronoi cell of the FCC lattice, making it (arguably) the most natural 3-dimensional analog of the hexagon. It shows up all over the place!

You might enjoy these rhombic dodecahedral dice https://www.mathartfun.com/thedicelab.com/SpaceFillingDice.h...


I'd enjoy reading some more character analysis of obscure polyhedra. The Dodecahedron was the most multifaceted character in The Phantom Tollbooth!

https://www.shmoop.com/phantom-tollbooth/dodecahedron.html

http://teacherwifey.blogspot.com/2014/08/the-phantom-tollboo...


It's "obscure" to me (and also my favorite) because I had never even heard of it before I tried to find out what the most natural 3-dimensional analog of the hexagon was. :)



Unfortunately the Catalan solids aren't in there yet, because I wanted to focus on the regular-faced polyhedra for now! Perhaps in a future update :)


Congratulations, lot of work put in a very well refined and presented page!


Thank you! Did you make sure to check out the individual polyhedra (e.g. https://polyhedra.tessera.li/tetrahedron)


Is there any way to keep the objects spinning? It'd be nice if you gave them a flick and then they kept spinning under their own inertia.




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