Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#1

Post by lioeters » Sun, Oct 24, 2021, 12:23 PM UTC

Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra
polyhedra.tessera.li

Re: Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#2

Post by mkl » Sun, Oct 24, 2021, 1:17 PM UTC

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

Re: Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#3

Post by aj7 » Sun, Oct 24, 2021, 2:32 PM UTC

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.

Re: Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#4

Post by lifthrasiir » Sun, Oct 24, 2021, 2:45 PM UTC

mkl wrote: post #2

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

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

Re: Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#5

Post by fjfaase » Sun, Oct 24, 2021, 3:08 PM UTC

mkl wrote: post #2

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

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.

Re: Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#6

Post by gilleain » Sun, Oct 24, 2021, 3:16 PM UTC

aj7 wrote: post #3

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.

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.

Re: Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#7

Post by ChrisMarshallNY » Sun, Oct 24, 2021, 3:43 PM UTC

Very nice!

Thanks so much for sharing it.

Re: Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#8

Post by uwagar » Sun, Oct 24, 2021, 4:45 PM UTC

lovely!

Re: Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#9

Post by Waterluvian » Sun, Oct 24, 2021, 5:01 PM UTC

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.

Re: Polyhedra Viewer: Visualize relationships between convex regular-faced polyhedra

#10

Post by unclesaamm » Sun, Oct 24, 2021, 5:13 PM UTC

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