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) - 09:49, 9 January 2025
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) - 19:49, 16 January 2025
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) - 15:01, 8 December 2024
List of regular polytopes (redirect from Order-5 hexagonal tiling)
Euclidean 3-space) 1 p + 1 q = 1 2 : Euclidean plane tiling 1 p + 1 q < 1 2 : Hyperbolic plane tiling {\displaystyle {\begin{aligned}&{\frac {1}{p}}+{\frac...
100 KB (5,446 words) - 18:33, 2 May 2025
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) - 19:42, 16 January 2025
one of three regular tilings of the plane. The other two are the triangular tiling and the square tiling. The hexagonal tiling has a structure consisting...
20 KB (1,603 words) - 22:05, 3 May 2025
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
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) - 09:02, 4 September 2024
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...
23 KB (832 words) - 20:26, 9 January 2025
The Schläfli symbol of the order-infinite-3 hexagonal honeycomb is {6,∞,3}, with three infinite-order hexagonal tilings meeting at each edge. The vertex...
31 KB (1,578 words) - 16:48, 3 August 2024
16-cell (redirect from Order-4 tetrahedral honeycomb)
16-cell is also related to the cubic honeycomb, order-4 dodecahedral honeycomb, and order-4 hexagonal tiling honeycomb which all have octahedral vertex figures...
61 KB (7,127 words) - 18:16, 16 April 2025
List of mathematical shapes (section Honeycombs)
hosohedral honeycomb Hexagonal hosohedral honeycomb[citation needed] Order-2 square tiling honeycomb Order-2 triangular tiling honeycomb Order-2 hexagonal tiling...
47 KB (3,579 words) - 21:06, 4 December 2024
truncated order-5 square tiling, t{4,5}, with truncated square and pentagonal faces: It is similar to the Euclidean (order-4) truncated cubic honeycomb, t{4...
22 KB (844 words) - 19:43, 16 January 2025
uniform honeycombs with infinite or unbounded facets or vertex figure, including ideal vertices at infinity, similar to the hyperbolic uniform tilings in 2-dimensions...
257 KB (1,055 words) - 14:44, 13 March 2025
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 (633 words) - 03:30, 24 July 2024
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) - 19:51, 16 January 2025
hexagonal honeycomb is {6,8,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is an octagonal tiling...
25 KB (1,293 words) - 21:29, 20 August 2024
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) - 21:29, 20 August 2024
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) - 13:44, 6 May 2025
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) - 23:21, 15 January 2025
hexadeltille, combining alternate elements from a hexagonal tiling (hextille) and triangular tiling (deltille). Kagome (Japanese: 籠目) is a traditional...
16 KB (1,625 words) - 23:23, 26 February 2025
the hexagonal tiling honeycomb, . It contains hexagonal tiling facets with a tetrahedral vertex figure. The bitruncated triangular tiling honeycomb, ,...
18 KB (701 words) - 02:03, 10 January 2025
bitruncated hexagonal tiling honeycomb. The runcitruncated order-6 tetrahedral honeycomb is equivalent to the runcicantellated hexagonal tiling honeycomb. The...
12 KB (605 words) - 23:13, 15 January 2025
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
dodecahedral honeycomb is the same as the runcitruncated order-5 hexagonal tiling honeycomb. The omnitruncated order-6 dodecahedral honeycomb is the same...
13 KB (598 words) - 16:34, 28 February 2025
an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean...
33 KB (2,203 words) - 19:56, 14 April 2025
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) - 19:50, 16 January 2025
square honeycomb is {4,6,3}, with three order-4 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a hexagonal tiling, {6,3}...
8 KB (546 words) - 21:29, 20 August 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
properties, the square tiling is categorized as one of three regular tilings; the remaining being triangular tiling and hexagonal tiling with its prototiles...
9 KB (694 words) - 11:42, 5 April 2025