Talk:List of uniform tilings

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[edit] too technical tag

i removed the tag. the article has undergone many edits since the tag was added. if you feel the tag still belongs, feel free to add it back but please leave some specific suggestions about what you think the article is missing. thanks. Lunch 04:56, 24 September 2006 (UTC)

[edit] 39 uniform tilings

I have expanded the nonconvex tiling section to a complete list from Coxeter. I'll try to get some images and better tables going in the near future.

I'm thinking to combine all 39 into one table, if it makes sense when I have images for all of them.

Tom Ruen 13:58, 14 January 2007 (UTC)

The list of tilings with apeirogons in Uniform Polyhedra is not complete. A more complete list is in Grünbaum, Miller and Shephard, Uniform Tilings with Hollow Tiles, pp 17-64 of The Geometric Vein: The Coxeter Festschrift. To quote p.57, "Since 1953 several new tilings using apeirogons have been discovered". This also considers tilings using zigzags, which also meet the flag-transitivity condition for being considered infinite regular polygons. I don't know if more have been found since 1981 or if completeness has been proved. Joseph Myers 00:55, 22 January 2007 (UTC)