![]() | Cairo pentagonal tiling has been listed as one of the
Mathematics good articles under the
good article criteria. If you can improve it further,
please do so. If it no longer meets these criteria, you can
reassess it. Review: July 19, 2021. ( Reviewed version). |
![]() | A fact from Cairo pentagonal tiling appeared on Wikipedia's
Main Page in the
Did you know column on 2 August 2021 (
check views). The text of the entry was as follows:
| ![]() |
![]() | This article is rated GA-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
you can create an equilateral pentagon that tessalates like the cairo tiling with the following angles:
I'm pretty sure they are transcendental numbers. Introscopia ( talk) 02:03, 23 July 2013 (UTC)
Under "Geometry", ordinary mathematical symbols could be used, instead of computer code. — Preceding unsigned comment added by 31.54.202.247 ( talk) 06:43, 30 June 2018 (UTC)
@ David Eppstein: Somehow the tomb image was too much. ( diff) -- Watchduck ( quack) 12:50, 11 December 2020 (UTC)
I hadn't looked at geometric solutions before, so I made a chart to show a cycle of solutions with 2 nonadjacent right angles, and 4 equal edge lengths. The 5th horizontal edge varies between zero length and twice as long. I also show the convex equilateral solution in the center. I showed at angle multiples of 30. Convex in first quadrant, concave second quadrant, self-contact in third quadrant and flipped geometry fourth quadrants (turn angle sum is zero). I also found there are two equilateral solutions, the second one in the flipped form. All of them can tile the plane, but will get crazy when edges cross and flip. Tom Ruen ( talk) 23:00, 11 December 2020 (UTC)
GA toolbox |
---|
Reviewing |
Reviewer: Some Dude From North Carolina ( talk · contribs) 01:21, 18 July 2021 (UTC)
GA review – see
WP:WIAGA for criteria
The result was: promoted by
Desertarun (
talk) 09:45, 28 July 2021 (UTC)
Improved to Good Article status by David Eppstein ( talk). Self-nominated at 07:36, 20 July 2021 (UTC).
I do not find a print Shells and Starfish (1941) in the book M.C.Escher: His Life and Complete Graphic Work. — Tamfang ( talk) 22:38, 4 August 2021 (UTC)
The image with caption "Geometry of pentagons for the dual snub square tiling" has the non unit side labeled as 1-sqrt(3). This is slightly incorrect as that would be negative, the correct number is sqrt(3)-1. Slight mistake but otherwise good article. 206.126.214.171 ( talk) 02:00, 10 February 2022 (UTC)
![]() | Cairo pentagonal tiling has been listed as one of the
Mathematics good articles under the
good article criteria. If you can improve it further,
please do so. If it no longer meets these criteria, you can
reassess it. Review: July 19, 2021. ( Reviewed version). |
![]() | A fact from Cairo pentagonal tiling appeared on Wikipedia's
Main Page in the
Did you know column on 2 August 2021 (
check views). The text of the entry was as follows:
| ![]() |
![]() | This article is rated GA-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
you can create an equilateral pentagon that tessalates like the cairo tiling with the following angles:
I'm pretty sure they are transcendental numbers. Introscopia ( talk) 02:03, 23 July 2013 (UTC)
Under "Geometry", ordinary mathematical symbols could be used, instead of computer code. — Preceding unsigned comment added by 31.54.202.247 ( talk) 06:43, 30 June 2018 (UTC)
@ David Eppstein: Somehow the tomb image was too much. ( diff) -- Watchduck ( quack) 12:50, 11 December 2020 (UTC)
I hadn't looked at geometric solutions before, so I made a chart to show a cycle of solutions with 2 nonadjacent right angles, and 4 equal edge lengths. The 5th horizontal edge varies between zero length and twice as long. I also show the convex equilateral solution in the center. I showed at angle multiples of 30. Convex in first quadrant, concave second quadrant, self-contact in third quadrant and flipped geometry fourth quadrants (turn angle sum is zero). I also found there are two equilateral solutions, the second one in the flipped form. All of them can tile the plane, but will get crazy when edges cross and flip. Tom Ruen ( talk) 23:00, 11 December 2020 (UTC)
GA toolbox |
---|
Reviewing |
Reviewer: Some Dude From North Carolina ( talk · contribs) 01:21, 18 July 2021 (UTC)
GA review – see
WP:WIAGA for criteria
The result was: promoted by
Desertarun (
talk) 09:45, 28 July 2021 (UTC)
Improved to Good Article status by David Eppstein ( talk). Self-nominated at 07:36, 20 July 2021 (UTC).
I do not find a print Shells and Starfish (1941) in the book M.C.Escher: His Life and Complete Graphic Work. — Tamfang ( talk) 22:38, 4 August 2021 (UTC)
The image with caption "Geometry of pentagons for the dual snub square tiling" has the non unit side labeled as 1-sqrt(3). This is slightly incorrect as that would be negative, the correct number is sqrt(3)-1. Slight mistake but otherwise good article. 206.126.214.171 ( talk) 02:00, 10 February 2022 (UTC)