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Talk:List of Wenninger polyhedron models

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Creation

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I created this page to help reference the uniform polyhedra in Wenninger indices, as well as to ennumerate his extra 44 stellated forms.

I include the names from MathWorld which are a little different. I'll include the names Wenninger uses as well.

Links to Uniform Polyhedra will be completed in relation to work in List of uniform polyhedra

Tom Ruen 22:13, 15 October 2005 (UTC)[reply]

I used an online applet to generate images for a good number of the compound/stellations and facets maps: (Used ~900 pixel bitmaps from screen captures)

I completed the 44 stellation images using the applet above, drawing also one or two facet maps which describe the stellation elements.

I also began each stellation sequence with the original convex generating polyhedron and and called these images "zeroth stellation of the Xahedron".

NAMING: I also noticed Wenninger was a bit inconsistent in his naming "Nth stellation of the Xahedron", while some compound stellations were counted in the sequence, and others were not. I tried to be systematic with the file namings, and used "Nth compound stellation of the Xahedron" to fill in the nonsequenced forms. At least the full indices 1-119 are a complete sequence.

There's obviously some vertex, edge, face counts that can be added. I added symmetry groups.

I created a couple stub articles on these stellated forms. I'll try an autogeneration (script/robot?) process to complete the stub links, when I do the same for the still missing uniform polyhedra articles.

There's obviously a bigger field of stellated forms than this book ennumerated. The amazing applet demonstrates this. On the other hand the rules for choosing "interesting" ones elludes me. I only attempted to include as much as I have to honor Magnus Wenninger's work and open the door to this stellation process for others who may be interested in furthering it.

PROBABLY it is best to eventually remove the uniform polyhedra from the article and just reference them in the list of uniform polyhedra article instead. However for the moment, I still appreciate having the full list here for continued cross checking data.

Tom Ruen 11:05, 29 October 2005 (UTC)[reply]

How about a little note saying why this page exists, something like "The index numbers assigned by Wenninger are often used as a convenient way to refer to the more exotic nonconvex forms"? --Anton Sherwood 08:26, 3 January 2006 (UTC)[reply]

Sure, I agree there's much room for explaining more here. I actually got started on this parallel list because Mathworld referenced Wenninger models by number 1..119, and I purchased the book. Basically a short summary of the of the book should be included. Basically it's a "Construction book" with all the details of how to build these polyhedra. Tom Ruen 08:36, 3 January 2006 (UTC)[reply]

strange Wythoff symbols

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The Wythoff symbols given in the book for W74, W86, W90, W96, W101, W103, W109 all have four numbers, the last two being stacked. (I have no idea what that means.) This table doesn't show that. —67.180.195.33 (talk) 06:40, 16 January 2008 (UTC)[reply]

The individual Wythoff symbols each have faces in common. The stacked symbol indicates only taking the faces in either degenerate polyhedra in common. For more information see: List of uniform polyhedra by Schwarz triangle. Shadi1089 (talk) 02:42, 30 December 2020 (UTC)[reply]
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Potential Image Redecoration?

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Dear fellow Wikipedians: I will make a note to a potential revision. If this is deemed unnecessary, you can revert the changes. I will probably finish making a draft by tomorrow.

Thanks, Shadi1089 (talk) 02:48, 30 December 2020 (UTC)[reply]

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