uniform honeycomb in spherical space. The Schläfli symbol of the order-4 hexagonal tiling honeycomb is {6,3,4}. Since that of the hexagonal tiling is {6...
27 KB (976 words) - 14:59, 15 January 2024
symbol of the hexagonal tiling honeycomb is {6,3,3}. Since that of the hexagonal tiling is {6,3}, this honeycomb has three such hexagonal tilings meeting at...
21 KB (843 words) - 18:07, 31 December 2023
of the order-5 hexagonal tiling honeycomb is {6,3,5}. Since that of the hexagonal tiling is {6,3}, this honeycomb has five such hexagonal tilings meeting...
22 KB (832 words) - 15:00, 15 January 2024
the hexagonal tiling honeycomb is {6,3,6}. Since that of the hexagonal tiling of the plane is {6,3}, this honeycomb has six such hexagonal tilings meeting...
24 KB (961 words) - 20:34, 14 July 2020
In geometry, the order-4 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,4}. This tiling represents a hyperbolic...
6 KB (389 words) - 21:52, 12 December 2023
is one of three regular tilings of the plane. The other two are the triangular tiling and the square tiling. Hexagonal tiling is the densest way to arrange...
16 KB (1,286 words) - 23:15, 8 March 2024
geometry of hyperbolic 3-space, the order-4 square tiling honeycomb is one of 11 paracompact regular honeycombs. It is paracompact because it has infinite...
20 KB (845 words) - 00:08, 28 January 2024
honeycomb has six ideal cubes meeting along each edge. Its vertex figure is an infinite triangular tiling. Its dual is the order-4 hexagonal tiling honeycomb...
21 KB (908 words) - 00:14, 28 January 2024
dodecahedral cells. This honeycomb is also related to the 16-cell, cubic honeycomb, and order-4 hexagonal tiling honeycomb all which have octahedral...
15 KB (659 words) - 00:08, 28 January 2024
geometry, the order-6 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,6} and is self-dual. This tiling represents...
3 KB (262 words) - 21:55, 12 December 2023
3-space, the hexagonal tiling-triangular tiling honeycomb is a paracompact uniform honeycomb, constructed from triangular tiling, hexagonal tiling, and trihexagonal...
3 KB (294 words) - 23:27, 14 January 2024
the hexagonal tiling honeycomb, . It contains hexagonal tiling facets with a tetrahedral vertex figure. The bitruncated triangular tiling honeycomb, ,...
18 KB (701 words) - 03:00, 29 January 2024
In geometry, the truncated order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{6,4}. A secondary construction...
8 KB (302 words) - 08:38, 28 May 2022
runcicantellated square tiling honeycomb is the same as the runcitruncated order-4 octahedral honeycomb. The omnitruncated square tiling honeycomb, t0,1,2,3{4,4...
26 KB (898 words) - 18:15, 28 January 2024
polychora and honeycombs with hexagonal tiling cells. In the geometry of hyperbolic 3-space, the order-3-8 hexagonal honeycomb or (6,3,8 honeycomb) is a regular...
8 KB (419 words) - 14:45, 16 January 2024
In geometry, the order-8 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,8}. There are four uniform constructions...
3 KB (236 words) - 21:58, 12 December 2023
tiling or tessellation in any number of dimensions. Its dimension can be clarified as n-honeycomb for a honeycomb of n-dimensional space. Honeycombs are...
14 KB (1,321 words) - 06:32, 2 July 2024
Hosohedron (redirect from Order-2 hexagonal hosohedral honeycomb)
must have at least three sides. When considering polyhedra as a spherical tiling, this restriction may be relaxed, since digons (2-gons) can be represented...
8 KB (592 words) - 20:45, 25 January 2023
In geometry, the order-5 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,5}. This tiling is topologically related...
2 KB (188 words) - 20:14, 12 December 2023
uniform polyhedron, uniform 4-polytope, uniform 5-polytope, uniform 6-polytope, uniform tiling, and convex uniform honeycomb articles were coined by Norman...
6 KB (432 words) - 00:15, 20 September 2023
hexadeltille, combining alternate elements from a hexagonal tiling (hextille) and triangular tiling (deltille). Kagome (Japanese: 籠目) is a traditional...
16 KB (1,622 words) - 15:28, 8 March 2024
In geometry, the cantic order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{(4,4,3)} or h2{6,4}. John...
2 KB (144 words) - 21:57, 12 December 2023
In geometry, the alternated order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of (3,4,4), h{6,4}, and hr{6,6}...
3 KB (166 words) - 21:58, 12 December 2023
tiling honeycomb. The runcitruncated order-4 octahedral honeycomb, t0,1,3{3,4,4}, has truncated octahedron, hexagonal prism, and square tiling facets...
14 KB (615 words) - 00:08, 28 January 2024
on trihexagonal tiling planes, using the hexagon centers of the cuboctahedra, creating two triangular cupolae. This scaliform honeycomb is represented...
66 KB (3,191 words) - 14:11, 7 October 2023
triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli...
25 KB (1,299 words) - 00:14, 28 January 2024
Semiregular polytope (redirect from Semiregular honeycomb)
tiling honeycomb, Rectified order-4 square tiling honeycomb, ↔ Alternated order-6 cubic honeycomb, ↔ (Also quasiregular) Alternated hexagonal tiling honeycomb...
9 KB (627 words) - 12:44, 31 December 2022
In geometry, the truncated order-6 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{6,6}. It can also be identically...
4 KB (211 words) - 21:56, 12 December 2023
Dihedron (redirect from Order-2 hexagonal tiling)
called bihedra, flat polyhedra, or doubly covered polygons. As a spherical tiling, a dihedron can exist as nondegenerate form, with two n-sided faces covering...
6 KB (627 words) - 20:28, 3 February 2023
hexagonal tilings existing around each vertex in an order-6 pentagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb...
11 KB (544 words) - 00:14, 28 January 2024