Talk:Tessellation

From Wikipedia, the free encyclopedia
Jump to: navigation, search
WikiProject Mathematics (Rated GA-class, Mid-importance)
WikiProject Mathematics
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.
Mathematics rating:
GA Class
Mid Importance
 Field: Geometry
One of the 500 most frequently viewed mathematics articles.
This article has comments.
WikiProject Visual arts (Rated GA-class)
WikiProject icon This article is within the scope of WikiProject Visual arts, a collaborative effort to improve the coverage of visual arts 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.
 GA  This article has been rated as GA-Class on the quality scale.
 

/ArchiveTo2012 /ArchiveTo2014


Non-Euclidian Geometries -- Spherical Geometry?[edit]

"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)

Agreed. Spherical polyhedron has regular, uniform, and uniform dual tilings of the sphere. These could be mentioned in Tessellation#Tessellations_in_non-Euclidean_geometries somewhere. And the regular 4-polytopes also can projected onto the 3-sphere as tessellations/honeycombs and viewed in stereographic projection. Like 120-cell projected here File:Stereographic_polytope_120cell_faces.png. Tom Ruen (talk) 21:14, 19 August 2015 (UTC)