Talk:List of uniform tilings

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Mathematics rating:	B Class	Mid Priority	Field: Geometry
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 22:30, 10 July 2007 (UTC)

Contents 1 too technical tag 2 39 uniform tilings 3 Obesity 4 Tilings in hyperbolic plane - which representation?

[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)

[edit] Obesity

This article is way to large! It takes over ten minutes to download it by dial-up connection. —Preceding unsigned comment added by 217.99.216.199 (talk) 20:22, 8 September 2007 (UTC)

[edit] Tilings in hyperbolic plane - which representation?

The introduction to this section says Shown with Poincaré disk model. In the Poincaré model, lines of the geometry are segments of circles contained in the disk orthogonal to the boundary of the disk, or else diameters of the disk. Some of the figures shown here, for example Order-4_pentagonal_tiling, use Euclidean straight lines to represent lines of the geometry and so appear to be shown with the Klein model. Nick Levine 18:01, 3 November 2007 (UTC)

The lines do look straight. I'm not sure if they are actually drawn straight, or just look that way, but the projection is Poincaré disk model. The Klein model looks very different - polygons get flattened near the boundary. Tom Ruen 18:52, 3 November 2007 (UTC)

Yeah, I agree, it does look like the Poincaré projection. But the lines look wrong, in some cases clearly so. Hmm, that's going to be an annoying job to fix. Nick Levine 19:11, 3 November 2007 (UTC)

Okay, I uploaded a new version with curved edges Image:Uniform tiling 54-t0.png - it was a checkbox in the program. I don't have the time to remake them all that way if you really like it better. It's just a difference between drawing lines on the hyperbolic plane, or drawing lines in the projected disc. I thought the topology was the important thing. Tom Ruen 21:50, 3 November 2007 (UTC)

Thanks. For the avoidance of future doubt, should we than note at the head of the section what's going on? Nick Levine 20:05, 4 November 2007 (UTC)