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Tessellation article. This is not a forum for general discussion of the article's subject. |
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please do so. If it no longer meets these criteria, you can
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"It is possible to tessellate in non-Euclidean geometries such as hyperbolic geometry."
What about spherical geometry? Has nothing been done in this area? Is it somehow not possible due to a quirk of mathematics? I'd suggest at least a mention of this would be expected, since you mention the two other main branches of geometries.
--
167.230.96.9 (
talk) 20:58, 19 August 2015 (UTC)
The comment(s) below were originally left at Talk:Tessellation/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.
At present this is largely a random collection of a few specific topics. It needs going through with reference to Tilings and Patterns to make sure that all the main topics and terminology are covered in a coherent arrangement; in the process, most of the "See also" links should become links at appropriate points in the body of the article instead. Joseph Myers 02:20, 20 May 2007 (UTC) |
Last edited at 02:20, 20 May 2007 (UTC). Substituted at 20:16, 1 May 2016 (UTC)
A nicely done "educational animation" was added by an anonymous user to "explain the basic principles behind tessellating patterns." I have removed it for a number of concerns.
-- seberle ( talk) 06:19, 21 June 2016 (UTC)
I'd really love to see that video. Too bad it has been removed Nonkuli ( talk) 13:11, 13 August 2016 (UTC)
The "In Manufacturing" section looks tiny. I think we should add more to this section. — Preceding unsigned comment added by Jimli536 ( talk • contribs) 23:23, 31 August 2016 (UTC)
There is tons of material on mathematical tiling/tessellation. So much so that adding it all to this page would be tedious, especially for readers coming to this article for the art, manufacturing etc aspects who don't have any interest. I've been discussing on the Talk:Polyomino page the possibility of creating a separate page purely dedicated to all of the finer mathematical points of tiling, which would include Discrete Tilings (e.g. Z^n for starters... there's a lot of literature here) and also the more usual tilings by sets of polygons, and then leaving a link to that more comprehensive article here. Mathguy9109 ( talk) 15:37, 21 June 2018 (UTC)
When I read the topic of Tessellation I miss something.
Not until we step out of the "In Mathematics" topic and enter the "In Art" topic we get to see a reference and a link to 5-fold patterns - the Girih tiling page. Being in the art section hints that the tiles themselves don't have merits, and it's only the decoration and lines on top of the Girih tiles that is important - which I agree is true for art - but my question is if this isn't interesting from a mathematical point of view too? It should render a mentioning in the "In Mathematics" topic.
It also should have its own separate topic. I know the topic of Girih tiles already exist, but there are a few problems with it:
These non-equilateral prototiles together with the extended set of the Girih tiles, should get their rightful spot on Wikipedia. I just don't know where. Please help me! Rixn99 ( talk) 09:42, 16 September 2018 (UTC)
Tessellation currently seems a broad-concept article (BCA), covering several closely related concepts. Its main section, Tessellation#In mathematics, is notable enough to deserve a separate article, Tessellation (mathematics). That section is so large that it has its own introductory section. A summary of the new article would be left in the old section, of course. fgnievinski ( talk) 05:45, 23 May 2021 (UTC)
If you don't agree with the splitting proposal, that means Tessellation is not meant to be a BCA. Then, I assume it's supposed to be mainly about the mathematical concept and secondarily about its occurrence in other areas. In that case, the present article would need some restructuring. First, sections In art, In manufacturing, and In nature would need to be demoted as subsections of a new section Tessellation#Occurrence and applications. Secondly, section Tessellation#In mathematics would need to be promoted, by making its subsections first-level sections. fgnievinski ( talk) 05:45, 23 May 2021 (UTC)
There was a previous discussion at #Creating a separate Tiling (mathematics) page. fgnievinski ( talk) 05:47, 23 May 2021 (UTC)
There are article in New Scientist, but behind a paywall:
This is the
talk page for discussing improvements to the
Tessellation article. This is not a forum for general discussion of the article's subject. |
Article policies
|
Find sources: Google ( books · news · scholar · free images · WP refs) · FENS · JSTOR · TWL |
Archives: 1, 2 |
![]() | Tessellation 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: May 31, 2015. ( Reviewed version). |
![]() | This article is written in British English, which has its own spelling conventions (colour, travelled, centre, defence, artefact, analyse) and some terms that are used in it may be different or absent from other varieties of English. According to the relevant style guide, this should not be changed without broad consensus. |
![]() | This ![]() It is of interest to the following WikiProjects: | |||||||||||||||||
|
"It is possible to tessellate in non-Euclidean geometries such as hyperbolic geometry."
What about spherical geometry? Has nothing been done in this area? Is it somehow not possible due to a quirk of mathematics? I'd suggest at least a mention of this would be expected, since you mention the two other main branches of geometries.
--
167.230.96.9 (
talk) 20:58, 19 August 2015 (UTC)
The comment(s) below were originally left at Talk:Tessellation/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.
At present this is largely a random collection of a few specific topics. It needs going through with reference to Tilings and Patterns to make sure that all the main topics and terminology are covered in a coherent arrangement; in the process, most of the "See also" links should become links at appropriate points in the body of the article instead. Joseph Myers 02:20, 20 May 2007 (UTC) |
Last edited at 02:20, 20 May 2007 (UTC). Substituted at 20:16, 1 May 2016 (UTC)
A nicely done "educational animation" was added by an anonymous user to "explain the basic principles behind tessellating patterns." I have removed it for a number of concerns.
-- seberle ( talk) 06:19, 21 June 2016 (UTC)
I'd really love to see that video. Too bad it has been removed Nonkuli ( talk) 13:11, 13 August 2016 (UTC)
The "In Manufacturing" section looks tiny. I think we should add more to this section. — Preceding unsigned comment added by Jimli536 ( talk • contribs) 23:23, 31 August 2016 (UTC)
There is tons of material on mathematical tiling/tessellation. So much so that adding it all to this page would be tedious, especially for readers coming to this article for the art, manufacturing etc aspects who don't have any interest. I've been discussing on the Talk:Polyomino page the possibility of creating a separate page purely dedicated to all of the finer mathematical points of tiling, which would include Discrete Tilings (e.g. Z^n for starters... there's a lot of literature here) and also the more usual tilings by sets of polygons, and then leaving a link to that more comprehensive article here. Mathguy9109 ( talk) 15:37, 21 June 2018 (UTC)
When I read the topic of Tessellation I miss something.
Not until we step out of the "In Mathematics" topic and enter the "In Art" topic we get to see a reference and a link to 5-fold patterns - the Girih tiling page. Being in the art section hints that the tiles themselves don't have merits, and it's only the decoration and lines on top of the Girih tiles that is important - which I agree is true for art - but my question is if this isn't interesting from a mathematical point of view too? It should render a mentioning in the "In Mathematics" topic.
It also should have its own separate topic. I know the topic of Girih tiles already exist, but there are a few problems with it:
These non-equilateral prototiles together with the extended set of the Girih tiles, should get their rightful spot on Wikipedia. I just don't know where. Please help me! Rixn99 ( talk) 09:42, 16 September 2018 (UTC)
Tessellation currently seems a broad-concept article (BCA), covering several closely related concepts. Its main section, Tessellation#In mathematics, is notable enough to deserve a separate article, Tessellation (mathematics). That section is so large that it has its own introductory section. A summary of the new article would be left in the old section, of course. fgnievinski ( talk) 05:45, 23 May 2021 (UTC)
If you don't agree with the splitting proposal, that means Tessellation is not meant to be a BCA. Then, I assume it's supposed to be mainly about the mathematical concept and secondarily about its occurrence in other areas. In that case, the present article would need some restructuring. First, sections In art, In manufacturing, and In nature would need to be demoted as subsections of a new section Tessellation#Occurrence and applications. Secondly, section Tessellation#In mathematics would need to be promoted, by making its subsections first-level sections. fgnievinski ( talk) 05:45, 23 May 2021 (UTC)
There was a previous discussion at #Creating a separate Tiling (mathematics) page. fgnievinski ( talk) 05:47, 23 May 2021 (UTC)
There are article in New Scientist, but behind a paywall: