In 2-dimensional hyperbolic geometry, the infinite-order hexagonal tiling is a regular tiling. It has Schläfli symbol of {6,∞}. All vertices are ideal...
2 KB (157 words) - 22:07, 12 December 2023
of the triangular tiling is {3,6}, the vertex figure of this honeycomb is a triangular tiling. Thus, infinitely many hexagonal tilings meet at each vertex...
24 KB (961 words) - 20:34, 14 July 2020
contains , which tile 2-hypercycle surfaces and are similar to the truncated infinite-order triangular tiling, : The order-4 hexagonal tiling honeycomb is...
27 KB (976 words) - 14:59, 15 January 2024
paracompact because it has cells composed of an infinite number of faces. Each cell consists of a hexagonal tiling whose vertices lie on a horosphere, a flat...
22 KB (832 words) - 15:00, 15 January 2024
paracompact because it has cells composed of an infinite number of faces. Each cell is a hexagonal tiling whose vertices lie on a horosphere, a surface...
21 KB (843 words) - 18:07, 31 December 2023
regular 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...
8 KB (419 words) - 14:45, 16 January 2024
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
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) - 00:14, 28 January 2024
along each edge. Its vertex figure is an infinite triangular tiling. Its dual is the order-4 hexagonal tiling honeycomb. A geometric honeycomb is a space-filling...
21 KB (908 words) - 00:14, 28 January 2024
boundary) with infinitely many order-8 triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction...
25 KB (1,293 words) - 00:14, 28 January 2024
order-4 apeirogonal tiling {∞,4} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many hexagonal tilings...
8 KB (411 words) - 00:08, 28 January 2024
beyond the ideal boundary) with four order-6 square tilings existing around each edge and with an order-4 hexagonal tiling vertex figure. It a part of a sequence...
9 KB (478 words) - 08:13, 10 March 2024
runcitruncated triangular tiling honeycomb, , has hexagonal tiling, rhombitrihexagonal tiling, triangular prism, and hexagonal prism cells, with an isosceles-trapezoidal...
18 KB (701 words) - 03:00, 29 January 2024
order-5 hexagonal tilings, {6,5}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many hexagonal tilings...
11 KB (544 words) - 00:14, 28 January 2024
In geometry, the order-3 apeirogonal tiling is a regular tiling of the hyperbolic plane. It is represented by the Schläfli symbol {∞,3}, having three regular...
8 KB (327 words) - 21:55, 12 December 2023
beyond the ideal boundary) with infinitely many triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a...
10 KB (536 words) - 00:14, 28 January 2024
boundary) with infinitely many order-7 triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction...
25 KB (1,299 words) - 00:14, 28 January 2024
uniform honeycombs in hyperbolic space List of regular polytopes Infinite-order hexagonal tiling honeycomb Coxeter, Regular Polytopes, 3rd. ed., Dover Publications...
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There are eight uniform tilings that can be based from the regular hexagonal tiling (or the dual triangular tiling). Drawing the tiles colored as red on the...
10 KB (728 words) - 21:54, 12 December 2023
tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex. It is named as a triangular tiling elongated...
10 KB (700 words) - 21:55, 12 December 2023
uniform honeycombs in hyperbolic space List of regular polytopes Infinite-order hexagonal tiling honeycomb Coxeter, Regular Polytopes, 3rd. ed., Dover Publications...
9 KB (431 words) - 01:49, 4 June 2024
In geometry, the hexagonal prism is a prism with hexagonal base. Prisms are polyhedrons; this polyhedron has 8 faces, 18 edges, and 12 vertices. Since...
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represents a regular compound tiling. It can also be seen as a subdivision of four hexagonal tilings with each hexagon divided into 12 rhombi. The diagonals...
15 KB (1,577 words) - 23:19, 14 June 2023
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
order-5-3 square honeycomb or 4,5,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a pentagonal tiling...
12 KB (704 words) - 00:14, 28 January 2024
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
vertices with 2 different vertex types, so this tiling would be classed as a ‘3-uniform (2-vertex types)’ tiling. Broken down, 36; 36 (both of different transitivity...
31 KB (1,987 words) - 01:24, 26 June 2024
bitruncated hexagonal tiling honeycomb. The runcitruncated order-6 tetrahedral honeycomb is equivalent to the runcicantellated hexagonal tiling honeycomb...
12 KB (605 words) - 00:14, 28 January 2024
geometry, the order-6 apeirogonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {∞,6}. The dual to this tiling represents...
2 KB (212 words) - 14:31, 5 November 2022
hexagonal honeycomb is {6,6,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a hexagonal tiling,...
9 KB (546 words) - 00:14, 28 January 2024