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This list was split from Template:Convex polyhedron navigator

I'm not very sure about the usefulness of all these complicated named in one list. I'd prefer a visual list, even like a single bitmap with a matrix of pictures with a link mapping to each form, but don't know if you can do that in Wikipedia. Tom Ruen (talk) 03:00, 9 September 2009 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2009-09-09T03:00:00.000Z","author":"Tomruen","type":"comment","level":1,"id":"c-Tomruen-2009-09-09T03:00:00.000Z","replies":["c-Professor_Fiendish-2009-09-09T05:36:00.000Z-Tomruen-2009-09-09T03:00:00.000Z"],"displayName":"Tom Ruen"}}-->

I think you can do that! Professor M. Fiendish, Esq. 05:36, 9 September 2009 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2009-09-09T05:36:00.000Z","author":"Professor Fiendish","type":"comment","level":2,"id":"c-Professor_Fiendish-2009-09-09T05:36:00.000Z-Tomruen-2009-09-09T03:00:00.000Z","replies":[],"displayName":"Professor"}}-->

The template list so far is incomplete. I'm not convinced it is practical to list them all happily, NOR what the best grouping should be. Prismatic uniform star polyhedra also ought to be included. Star pyramids as well! Tom Ruen (talk) 02:19, 15 September 2009 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2009-09-15T02:19:00.000Z","author":"Tomruen","type":"comment","level":1,"id":"c-Tomruen-2009-09-15T02:19:00.000Z","replies":[],"displayName":"Tom Ruen"}}-->

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Classification

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Mathworld lists 10 categories by vertex figures by Norman Johnson (mathematician): [1]. Tom Ruen (talk) 02:25, 15 September 2009 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2009-09-15T02:25:00.000Z","author":"Tomruen","type":"comment","level":1,"id":"c-Tomruen-2009-09-15T02:25:00.000Z-Classification","replies":["c-Robert_Stanforth-2009-09-18T21:36:00.000Z-Tomruen-2009-09-15T02:25:00.000Z"],"displayName":"Tom Ruen"}}-->

Johnson's classification looks favourable - and I note that the article List of uniform polyhedra by vertex figure uses this to a certain extent. If that is considered too fine-grained, then something a little coarser like along the following lines may do as well:

Uniform polyhedra with vertex on a rotational axis
Non-snub uniform polyhedra with vertex elsewhere on a reflection plane
Non-snub uniform polyhedra with vertex not on any reflection plane
Snub uniform polyhedra (those containing edges not bisected by a reflection plane)

Also, it would be nice to be able to navigate the non-convex uniform polyhedra within the context of all uniform polyhedra. While the convex ones form a coherent subset, the non-convex ones don't: there is nothing special per se about not being convex.Robert Stanforth (talk) 21:36, 18 September 2009 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2009-09-18T21:36:00.000Z","author":"Robert Stanforth","type":"comment","level":2,"id":"c-Robert_Stanforth-2009-09-18T21:36:00.000Z-Tomruen-2009-09-15T02:25:00.000Z","replies":["c-Tomruen-2009-09-18T23:09:00.000Z-Robert_Stanforth-2009-09-18T21:36:00.000Z","c-Tomruen-2009-09-18T23:13:00.000Z-Robert_Stanforth-2009-09-18T21:36:00.000Z"]}}-->

Hi Robert! Thanks for finishing the dual-star templates. Free free to try something here, Johnson's or whatever. I do think nonconvex articles could have both convex and nonconvex templates on the bottom. Anyway I'm promising myself to lay low for a while until I get some things done. Good luck! Tom Ruen (talk) 23:09, 18 September 2009 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2009-09-18T23:09:00.000Z","author":"Tomruen","type":"comment","level":3,"id":"c-Tomruen-2009-09-18T23:09:00.000Z-Robert_Stanforth-2009-09-18T21:36:00.000Z","replies":[],"displayName":"Tom Ruen"}}-->

OH, I was inspired to move to { { Star polyhedron navigator } }. Also I should note that {{ Polyhedron navigator } } directs to convex forms. Tom Ruen (talk) 23:13, 18 September 2009 (UTC)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2009-09-18T23:13:00.000Z","author":"Tomruen","type":"comment","level":3,"id":"c-Tomruen-2009-09-18T23:13:00.000Z-Robert_Stanforth-2009-09-18T21:36:00.000Z","replies":[],"displayName":"Tom Ruen"}}-->