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The list of tilings with apeirogons in
Uniform Polyhedra is not complete. A more complete list is in GrĂĽnbaum, 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
420:- 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.
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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.
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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.
513:. 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.)
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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
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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.
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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
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When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
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The lines do look straight. I'm not sure if they are actually drawn straight, or just look that way, but the projection is
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I am currently working with Louis Romero on a tiling software package and would like to avoid re-inventing the wheel.
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section to a complete list from
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to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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Thanks. For the avoidance of future doubt, should we than note at the head of the section what's going on?
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If you have discovered URLs which were erroneously considered dead by the bot, you can report them with
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I'm thinking to combine all 39 into one table, if it makes sense when I have images for all of them.
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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691:(link text "Encyclopaedia of Mathematics: Orbit - Rayleigh Equation", dated 1991) is a bit odd:
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For clarification, I mean to take the image on the lower left corner of:
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and cut all red squares horizontally and all yellow squares vertically.
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I read that this is a differential equation, which seems irrelevant.
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looks very different - polygons get flattened near the boundary.
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https://www.encyclopediaofmath.org/index.php/Rayleigh_equation
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The link (to google books) says the text cannot be presented.
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Are any tilings in this article topologically equivalent to:
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for additional information. I made the following changes:
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Reference to "Orbit - Rayleigh
Equation" seems wrong.
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Cairo_pentagonal_tiling#Related_polyhedra_and_tilings
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I used free software, Kaleido Tile, for some of them
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What software are you using to generate the images?
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Tilings in hyperbolic plane - which representation?
712:https://www.encyclopediaofmath.org/index.php/Orbit
602:http://www.akpeters.com/product.asp?ProdCode=2205
416:Okay, I uploaded a new version with curved edges
364:. Some of the figures shown here, for example
610:This message was posted before February 2018.
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582:List of convex uniform tilings
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