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
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) - 16:48, 3 August 2024
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...
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forms. Wikimedia Commons has media related to Order-7 triangular tiling. Order-7 tetrahedral honeycomb List of regular polytopes List of uniform planar...
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the order-6 triangular hosohedral honeycomb a regular space-filling tessellation (or honeycomb) with Schläfli symbol {2,3,6}. It has 6 triangular hosohedra...
2 KB (140 words) - 16:57, 3 August 2024
hyperbolic honeycombs with order-7 triangular tiling vertex figures, {p,3,7}. In the geometry of hyperbolic 3-space, the order-8 cubic honeycomb a regular...
9 KB (419 words) - 16:48, 3 August 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
alternated cubic honeycomb, gyrated triangular prismatic honeycomb, snub square prismatic honeycomb, triangular prismatic honeycomb, triangular-hexagonal prismatic...
18 KB (1,515 words) - 10:24, 3 May 2024
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 (3,797 words) - 12:47, 24 September 2024
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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600-cell (redirect from Order-3-5 triangular honeycomb)
in the honeycomb, fits a triangular bipyramid composed of two tetrahedra. This decomposition of the 600-cell has symmetry [[10,2+,10]], order 400, the...
217 KB (28,933 words) - 14:34, 25 September 2024
tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed...
33 KB (2,200 words) - 03:59, 24 July 2024
24-cell (redirect from Order-4-3 triangular honeycomb)
single 24-cell or the 24-cell honeycomb. The 24-cell is the fourth in the sequence of six convex regular 4-polytopes (in order of size and complexity). It...
237 KB (31,116 words) - 16:45, 23 September 2024
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...
8 KB (592 words) - 20:45, 25 January 2023
Hexagonal tiling (redirect from Order-3 hexagonal tiling)
two are the triangular tiling and the square tiling. Hexagonal tiling is the densest way to arrange circles in two dimensions. The honeycomb conjecture...
16 KB (1,286 words) - 02:05, 27 September 2024
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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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...
47 KB (3,580 words) - 17:01, 29 June 2024
polyhedra include: The triangular prismatic honeycomb The gyrated triangular prismatic honeycomb The triakis truncated tetrahedral honeycomb. The Voronoi cells...
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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...
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Octahedron (redirect from Order-4 triangular tiling)
This and the regular tessellation of cubes are the only such uniform honeycombs in 3-dimensional space. The uniform tetrahemihexahedron is a tetrahedral...
36 KB (3,630 words) - 23:38, 23 September 2024
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...
60 KB (7,175 words) - 03:39, 24 July 2024
prismatic honeycomb Gyroelongated alternated cubic honeycomb Gyroelongated triangular prismatic honeycomb Elongated triangular prismatic honeycomb Elongated...
30 KB (2,685 words) - 07:39, 28 July 2024
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) - 09:49, 5 October 2024
The cubic honeycomb or cubic cellulation is the only proper regular space-filling tessellation (or honeycomb) in Euclidean 3-space made up of cubic cells...
66 KB (3,191 words) - 16:48, 3 August 2024
Tesseract (redirect from Order-3-3 square honeycomb)
Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45] Coxeter, H.S.M. (1970), "Twisted Honeycombs", Conference Board of the Mathematical Sciences Regional...
25 KB (2,649 words) - 15:28, 8 October 2024
polyhedral cells. In 3-dimensional hyperbolic space there are nine Coxeter group families of compact convex uniform honeycombs, generated as Wythoff...
86 KB (1,414 words) - 00:33, 24 September 2024
generated from the (4 3 3) hyperbolic tilings: Wikimedia Commons has media related to Order-8 triangular tiling. Order-8 tetrahedral honeycomb Tilings of regular...
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the geometry of hyperbolic 3-space, the order-4 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5...
12 KB (591 words) - 16:57, 3 August 2024