Talk:List of Euclidean uniform tilings

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles
Mid	This article has been rated as Mid-priority on the project's priority scale.

Lists List‑class Low‑importance

	This article is within the scope of WikiProject Lists, an attempt to structure and organize all list pages on Wikipedia. If you wish to help, please visit the project page, where you can join the project and/or contribute to the discussion.ListsWikipedia:WikiProject ListsTemplate:WikiProject ListsList articles
List	This article has been rated as List-class on the project's quality scale.
Low	This article has been rated as Low-importance on the project's importance scale.

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)[reply]

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)[reply]

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)[reply]

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)[reply]

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)[reply]

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)[reply]

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)[reply]

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)[reply]

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)[reply]

What software are you using to generate the images?

I am currently working with Louis Romero on a tiling software package and would like to avoid re-inventing the wheel.

http://sourceforge.net/projects/tilefarm/

Thanks,

Kenneth Ryan (intier at sourceforge) —Preceding unsigned comment added by 68.102.1.166 (talk) 22:04, 29 June 2008 (UTC)[reply]

I used free software, Kaleido Tile, for some of them [1]. Tom Ruen (talk) 03:24, 30 June 2008 (UTC)[reply]

Topologically equivalent??

Are any tilings in this article topologically equivalent to:

Take the familiar square tiling. Divide one square into 2 equal parts by a vertical line. Have each row and column alternate between vertically-divided squares and horizontally-divided squares. (Squares that meet at a corner will always be divided the same way.) Georgia guy (talk) 15:31, 25 February 2011 (UTC)[reply]

For clarification, I mean to take the image on the lower left corner of:

and cut all red squares horizontally and all yellow squares vertically. Georgia guy (talk) 15:35, 25 February 2011 (UTC)[reply]

This? Cairo_pentagonal_tiling#Related_polyhedra_and_tilings Tom Ruen (talk) 19:25, 25 February 2011 (UTC)[reply]

External links modified

Hello fellow Wikipedians,

I have just modified one external link on List of convex uniform tilings. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:

Added archive https://web.archive.org/web/20100919143320/https://akpeters.com/product.asp?ProdCode=2205 to http://www.akpeters.com/product.asp?ProdCode=2205

When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.

This message was posted before February 2018. After February 2018, "External links modified" talk page sections are no longer generated or monitored by InternetArchiveBot. No special action is required regarding these talk page notices, other than regular verification using the archive tool instructions below. Editors have permission to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the RfC before doing mass systematic removals. This message is updated dynamically through the template {{source check}} (last update: 5 June 2024).

If you have discovered URLs which were erroneously considered dead by the bot, you can report them with this tool.
If you found an error with any archives or the URLs themselves, you can fix them with this tool.

Cheers.—InternetArchiveBot (Report bug) 15:03, 29 December 2017 (UTC)[reply]

Reference to "Orbit - Rayleigh Equation" seems wrong.

The reference to https://books.google.com/books?id=5rPnCAAAQBAJ&lpg=PA169&ots=kdjtDmwjqQ&dq=Shubnikov%E2%80%93Laves%20tilings&pg=PA169#v=onepage&q=Shubnikov%E2%80%93Laves%20tilings&f=false (link text "Encyclopaedia of Mathematics: Orbit - Rayleigh Equation", dated 1991) is a bit odd:

The link (to google books) says the text cannot be presented.
It probably ought to use {{SpringerEOM}}
The article https://www.encyclopediaofmath.org/index.php/Orbit has nothing about tilings.
At https://www.encyclopediaofmath.org/index.php/Rayleigh_equation I read that this is a differential equation, which seems irrelevant.

Can anyone fix this? PJTraill (talk) 15:26, 8 May 2019 (UTC)[reply]