Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

[yesenadam]

So awesome. Nice work!

Aw I thought this was very familiar! - I loved Nat Alison's 10 minute !!Con 2019 talk, about its creation:

!!Con 2019 - We Love Polyhedra! (And So Should You!)

https://www.youtube.com/watch?v=XjvyELtrPF4

...It's been on HN before a few times, the only time it got any interest was as a 2018 ShowHN https://news.ycombinator.com/item?id=17685232 (30 comments)

Blog posts about its creation: Making the Polyhedra Viewer https://blog.tessera.li/polyhedra

[Waterluvian]

I love this website. Wow. I think it accumulates a bit too much browser history but not a big deal.

As a complete novice to geometry and topology, I find the classification of all kinds of types of polygons to be equal parts maddening and beautiful. It’s wild to me that we can classify what we do to any kind of geometry to get these subsets.

[unclesaamm]

I love this! Relatedly, here is a plug of an interactive unfolding of 4d polytopes into their 3d faces that I made recently: https://sam.zhang.fyi/html/unfolding/index.html

[dabed]

"Beautifully, all unfoldings of the 4-cube, 4-simplex, and 4-orthoplex are nets." why? is it a theorem or is it obvious?

[mkl]

This is great! I think it really needs an undo button in the operations mode.

[fjfaase]

Looks like you can use the back button of the browser for this. And a redo can be done by using the forward button of the browser.

[lifthrasiir]

Also shapes can be made arbitrary smaller. For example, tetrahedron -> rectify -> rectify -> contract will result in a smaller tetrahedron.

[aj7]

Unless someone can show me how to generate a corner cube prism (one of the most technologically important prisms, and quite simple), this is coloring. I tried for a while.

[gilleain]

Is that a regular faced polyhedra? From a google search it seems like this is a class of shape that combines flat faces and curved ones.

[knolan]

That isn’t a convex polyhedron, A retroreflective surface would actually be the interface between tessellated cubes.

[ChrisMarshallNY]

Very nice!

Thanks so much for sharing it.

[uwagar]

lovely!