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...
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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) - 00:14, 28 January 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...
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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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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) - 14:45, 16 January 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 an triangular tiling...
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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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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) - 00:14, 28 January 2024
the geometry of hyperbolic 3-space, the order-7 dodecahedral honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol {5...
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tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed...
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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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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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alternated cubic honeycomb, gyrated triangular prismatic honeycomb, snub square prismatic honeycomb, triangular prismatic honeycomb, triangular-hexagonal prismatic...
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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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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...
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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...
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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...
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24-cell (redirect from Order-4-3 triangular honeycomb)
in a single 24-cell or its honeycomb. The 24-cell is the fourth in the sequence of 6 convex regular 4-polytopes (in order of size and complexity). It...
237 KB (31,111 words) - 17:51, 18 June 2024
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 (28,935 words) - 07:10, 16 May 2024
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...
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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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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...
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prismatic honeycomb Gyroelongated alternated cubic honeycomb Gyroelongated triangular prismatic honeycomb Elongated triangular prismatic honeycomb Elongated...
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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. Like all regular convex polytopes, the octahedron...
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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...
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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...
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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) - 22:18, 11 May 2024
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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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...
7 KB (359 words) - 21:56, 12 December 2023