Talk:Wythoff construction
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[edit] Generalizing
The discussion and examples here can be much generalized:
- Nonconvex Schwarz's triangles on sphere. (For nonconvex uniform polyhedra)
- Convex triangles on plane. (For regular tilings)
- Convex triangles on hyperbolic plane. (For uniform hyperbolic tilings)
- Convex tetrahedra on 3-space honeycombs. (For convex uniform honeycombs)
- Convex tetrahedra on hypersphere. (For uniform polychora)
- etc!!!
I gotta do some more reading before I add anything! Tom Ruen 05:19, 3 August 2006 (UTC)
[edit] Wythoff symbol
I finally got the nerve to add a section for Wythoff symbol since most links to this page are for this.
My new section isn't integrated well with the old text. Partly I wonder if a new article Wythoff symbol ought to be made, but I'll leave this as is for now.
Tom Ruen 08:31, 6 January 2007 (UTC)
A new article at Wythoff symbol, moved all the content I worked on there. I can see Wythoff construction is categorically more general than the Wythoff symbol, which is limited to polyhedra and tilings. Coexeter sells this term for all the Uniform polytope contructions, although uses the Coxeter-Dynkin diagram to represent them. Tom Ruen 01:13, 8 January 2007 (UTC)
