Talk:Honeycomb (geometry)
From Wikipedia, the free encyclopedia
Contents |
[edit] Merge
Shouldn't this be merged into Tessellation? --PeR 19:23, 28 March 2006 (UTC)
I would not suggest a merge, although I agree tessellation deserves a subsection mentioning higher dimensional tessellations, and linking here. Obviously this article is short and could use expansion as well. Tom Ruen 03:30, 29 March 2006 (UTC)
The way I see it, that's the same thing... While tesselation of space is currently so short it would fit into tesselation, it should be made a subarticle again once it grows large enough. --PeR 07:43, 29 March 2006 (UTC)
Well, I didn't create this article. In my expansions on the uniform "tessellations of space", I've been using the term honeycombs to mean polyhedron tessellations in 3-space and tilings for polygonal tessellations in 2-space. Although in mathematical usage, I've seen honeycomb used in "3 or higher dimensional" tessellations. Also check out list of regular polytopes for the full list of multidimensional "regular" tessellations of any dimension.
Anyway, if you want to move it I'll let you take the plunge. Easy enough to copy this text to a section of tessellation and add a redirect on this page to the main article. I don't know if Patrick (originated this article) has a watch here. Tom Ruen 08:22, 29 March 2006 (UTC)
[edit] definition of uniform
Congruency of vertices is insufficient, as the pseudorhombicuboctahedron (J37) illustrates for finite polytopes. Consider an elongated triangular prismatic tiling in which one layer of cubes is bisected and rotated, so that on one side of the cut-plane (call it the XY plane) the axis of the 3-prisms is parallel to the X axis, on the other side they are parallel to the Y axis. The symmetry group then has no Z component and therefore vertices at different Z are in different equivalence classes; this tiling is not uniform although each vertex figure is the same. —Tamfang 01:08, 11 June 2006 (UTC)
[edit] Merging Tessellation of space to Honeycomb (geometry)
I agree merge is useful. I suggest this name be kept and tessellation of space be deleted. I merged content as seemed helpful. It obviously needs some further expansion in either case. Tom Ruen 05:15, 20 July 2006 (UTC)
- I relinked the articles from tessellation of space to this name (most of them added originally by me). Tom Ruen 05:31, 20 July 2006 (UTC)
-
- Okay. Strictly speaking, you don't have to go to the trouble of relinking other articles, because ultimately we'll just redirect Tessellation of space here. Speaking of which, is it ready for that yet? Melchoir 01:04, 21 July 2006 (UTC)
- I realized about redirects, but needed to change anyway, since I had a number of double links! And yes, I think it's ready for a merge/replacement, or whatever you call it. (I should have tried a "move this page" in the first place and it would have been easy!)
-
- Oh, I see what you mean. Well, I'll put in the redirect and copy the talk page material. Melchoir 02:55, 21 July 2006 (UTC)
[edit] Category:Honeycombs (geometry)
I have created a new sub-Category:Honeycombs (geometry) page and re-categorised some of the individual honeycomb pages. Anybody feel like helping with the rest? To find them, browse to Category:Polytopes or Category:Tiling Steelpillow 17:04, 8 March 2007 (UTC)
- I converted them all I think, changed to lower case (geometry). Tom Ruen 22:41, 8 March 2007 (UTC)
