geometry of hyperbolic 3-space, the order-7-3 triangular honeycomb (or 3,7,3 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol...
25 KB (1,299 words) - 21:29, 20 August 2024
hyperbolic 3-space, the order-infinite-3 triangular honeycomb (or 3,∞,3 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli...
31 KB (1,578 words) - 16:48, 3 August 2024
forms. Wikimedia Commons has media related to Order-7 triangular tiling. Order-7 tetrahedral honeycomb List of regular polytopes List of uniform planar...
4 KB (423 words) - 20:19, 14 March 2025
hyperbolic honeycombs with order-7 triangular tiling vertex figures, {p,3,7}. It is a part of a sequence of hyperbolic honeycombs, {3,p,7}. In the geometry...
9 KB (452 words) - 16:55, 16 June 2025
geometry of hyperbolic 3-space, the order-3-7 hexagonal honeycomb or (6,3,7 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli symbol...
8 KB (419 words) - 04:04, 28 September 2024
an order-7 triangular tiling vertex figure. It a part of a sequence of regular polychora and honeycombs {p,3,p}: In the geometry of hyperbolic 3-space...
7 KB (409 words) - 16:02, 14 December 2024
the geometry of hyperbolic 3-space, the order-7 dodecahedral honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol {5...
9 KB (431 words) - 16:48, 3 August 2024
In geometry, uniform honeycombs in hyperbolic space are tessellations of convex uniform polyhedron cells. In 3-dimensional hyperbolic space there are...
257 KB (1,055 words) - 14:44, 13 March 2025
the order-6 triangular hosohedral honeycomb a regular space-filling tessellation (or honeycomb) with Schläfli symbol {2,3,6}. It has 6 triangular hosohedra...
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the order-3-6 heptagonal honeycomb is {7,3,6}, with six heptagonal tilings meeting at each edge. The vertex figure of this honeycomb is a triangular tiling...
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alternated cubic honeycomb, gyrated triangular prismatic honeycomb, snub square prismatic honeycomb, triangular prismatic honeycomb, triangular-hexagonal prismatic...
19 KB (1,608 words) - 00:10, 20 May 2025
polyhedra include: The triangular prismatic honeycomb The gyrated triangular prismatic honeycomb The triakis truncated tetrahedral honeycomb. The Voronoi cells...
14 KB (1,321 words) - 13:44, 6 May 2025
tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed...
33 KB (2,203 words) - 19:56, 14 April 2025
Heptagonal tiling (redirect from Order-3-3 heptagonal honeycomb)
quartic (genus 3, automorphism group of order 168), and the induced tiling has 24 heptagons, meeting at 56 vertices. The dual order-7 triangular tiling has...
4 KB (322 words) - 23:56, 14 June 2025
In geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There...
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List of mathematical shapes (section Honeycombs)
triangular hosohedral honeycomb Hexagonal hosohedral honeycomb[citation needed] Order-2 square tiling honeycomb Order-2 triangular tiling honeycomb Order-2...
46 KB (3,547 words) - 00:42, 27 May 2025
the geometry of hyperbolic 3-space, the order-4 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5...
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Octahedron (redirect from Order-4 triangular tiling)
together with the regular tetrahedron to form the tetrahedral-octahedral honeycomb. It occurs in nature in certain crystals, in architecture as part of certain...
13 KB (1,231 words) - 01:36, 20 June 2025
5-cell (redirect from Order-3-3 triangular honeycomb)
cells, along with the 16-cell {3,3,4} and 600-cell {3,3,5}. The order-6 tetrahedral honeycomb {3,3,6} of hyperbolic space also has tetrahedral cells. It is...
38 KB (3,699 words) - 19:35, 25 March 2025
16-cell (redirect from Order-3-4 triangular 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) - 15:37, 20 May 2025
Semiregular polytope (redirect from Semiregular honeycomb)
square tiling honeycomb, = Tetrahedral-triangular tiling honeycomb, 9D hyperbolic paracompact honeycomb: 621 honeycomb (10-ic check), Semiregular polyhedron...
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Hexagonal tiling (redirect from Order-3 hexagonal tiling)
Wikimedia Commons has media related to Order-3 hexagonal tiling. Hexagonal lattice Hexagonal prismatic honeycomb Tilings of regular polygons List of uniform...
20 KB (1,603 words) - 22:05, 3 May 2025
Hosohedron (redirect from Order-3 triangular hosohedral honeycomb)
C_{nv}} , [ n ] {\displaystyle [n]} , ( ∗ n n ) {\displaystyle (*nn)} , order 2 n {\displaystyle 2n} . The reflection domains can be shown by alternately...
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polyhedral cells. In 3-dimensional hyperbolic space there are nine Coxeter group families of compact convex uniform honeycombs, generated as Wythoff...
88 KB (1,626 words) - 09:45, 9 January 2025
prismatic honeycomb Gyroelongated alternated cubic honeycomb Gyroelongated triangular prismatic honeycomb Elongated triangular prismatic honeycomb Elongated...
30 KB (2,692 words) - 15:23, 9 February 2025
cells. Twenty-eight such honeycombs are known: the familiar cubic honeycomb and 7 truncations thereof; the alternated cubic honeycomb and 4 truncations thereof;...
67 KB (2,193 words) - 13:34, 13 April 2025
MR 0185507. S2CID 122006114. Zbl 0132.14603. "J35 honeycomb". Weisstein, Eric W., "Elongated triangular orthobicupola" ("Johnson solid") at MathWorld....
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List of regular polytopes (redirect from Order-3 120-cell honeycomb)
Hyperspherical 3-space honeycomb or 4-polytope = 0 {\displaystyle =0} : Euclidean 3-space honeycomb < 0 {\displaystyle <0} : Hyperbolic 3-space honeycomb These...
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Wikimedia Commons has media related to Order-6 triangular tiling. Triangular tiling honeycomb Simplectic honeycomb Tilings of regular polygons List of uniform...
10 KB (858 words) - 14:08, 25 November 2024
MR 0185507. S2CID 122006114. Zbl 0132.14603. "J36 honeycomb". Weisstein, Eric W., "Elongated triangular gyrobicupola" ("Johnson solid") at MathWorld. v...
5 KB (587 words) - 11:25, 12 March 2024