New Torus

For general discussion of polyhedra, not necessarily Stella-specific.
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ndl
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New Torus

Post by ndl » Thu Nov 29, 2018 3:31 am

I found a new interesting equal-edged torus today by excavating two J92's out of an icosidodecahedron
ID-J92 Torus.jpg
ID-J92 Torus.jpg (56.76 KiB) Viewed 264 times
Has anyone ever made this before?
I never read Stewart's toroid book, maybe it's in there?

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robertw
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Re: New Torus

Post by robertw » Thu Nov 29, 2018 7:21 am

Nice. I'm not familiar with it offhand. It's not immediately obvious that J92 should reach exactly halfway into the icosidodecahedron. Interesting.

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Ulrich
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Re: New Torus

Post by Ulrich » Thu Nov 29, 2018 10:22 am

You should have a look at Alex Doskey‘s website. He studied Stewart’s book thoroughly and he has lots of such toroids:

polyhedra.doskey.com/stewart00.html

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ndl
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Re: New Torus

Post by ndl » Thu Nov 29, 2018 7:00 pm

Thanks Ulrich for your suggestion, I actually did find his website last night and there are numerous interesting things there, but I didn't see this example. Really I need to get a copy of Stewart's book, like Alex said on his website it's really most useful as a supplement with the book.

I actually thought of this excavated icosidodecahedron because of something I saw on http://eusebeia.dyndns.org/4d/J92, he shows there that the J92 reaches the halfway point of the icosidodecahedron.

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