Genus-41 Stewart toroid

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robertw
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Genus-41 Stewart toroid

Post by robertw » Tue Apr 09, 2019 2:13 pm

I just finished a paper model of a new Stewart toroid I discovered a while ago. This has all regular faces and is non-self-intersecting, with genus 41. All edges of the convex hull are also edges of the model (another one of Stewart's criteria).

See my page about it at https://www.software3d.com/WebbToroid.php

You can like it on facebook too: https://www.facebook.com/photo.php?fbid ... 7642829264

Image

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Peter Kane
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Re: Genus-41 Stewart toroid

Post by Peter Kane » Sat Apr 13, 2019 9:33 am

Another great model, Rob. What's your opinion of "Adventures among the Toroids" ?

Pete K

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robertw
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Re: Genus-41 Stewart toroid

Post by robertw » Sat Apr 13, 2019 2:16 pm

It's a fun investigation of something similar to Johnson solids but with one or two restrictions removed. Been a long time since I read it though.

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Ulrich
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Re: Genus-41 Stewart toroid

Post by Ulrich » Mon Apr 22, 2019 9:08 pm

Great model! Pretty paper, pretty colours, precise work.

Are the dodecagons and the decagons of the convex hull regular?

Ulrich

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robertw
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Re: Genus-41 Stewart toroid

Post by robertw » Thu Apr 25, 2019 2:17 am

Thanks Ulrich. No, if they were both regular it would be a new Johnson solid! The decagons are regular, but the dodecagons are not.

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