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
of the order-7-3 hexagonal honeycomb is {6,7,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a heptagonal...
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
of the order-5-3 hexagonal honeycomb is {6,5,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a dodecahedron...
12 KB (704 words) - 21:29, 20 August 2024
of the order-4-3 hexagonal honeycomb is {6,4,3}, with three order-4 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a cube...
10 KB (619 words) - 21:28, 20 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
In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex...
20 KB (1,603 words) - 22:05, 3 May 2025
with an order-5 pentagonal tiling vertex figure. In the geometry of hyperbolic 3-space, the order-5-6 hexagonal honeycomb (or 6,5,6 honeycomb) is a regular...
11 KB (544 words) - 21:29, 20 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
its name from its visual resemblance to a bee's honeycomb – a hexagonal sheet structure. The hexagonal comb of the honey bee has been admired and wondered...
25 KB (2,927 words) - 19:32, 13 February 2025
parallelepiped) Hexagonal prismatic honeycomb Rhombic dodecahedral honeycomb Elongated dodecahedral honeycomb Bitruncated cubic honeycomb or truncated octahedra...
14 KB (1,321 words) - 13:44, 6 May 2025
Semiregular polytope (redirect from Semiregular honeycomb)
tiling honeycomb, ↔ Alternated order-4 hexagonal tiling honeycomb, ↔ Alternated order-5 hexagonal tiling honeycomb, ↔ Alternated order-6 hexagonal tiling...
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Hosohedron (redirect from Order-2 hexagonal 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
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...
46 KB (3,547 words) - 00:42, 27 May 2025
Tesseract (redirect from Order-3-3 square honeycomb)
an envelope in the shape of a hexagonal prism. Six cells project onto rhombic prisms, which are laid out in the hexagonal prism in a way analogous to how...
26 KB (2,666 words) - 11:51, 4 June 2025
graphene is a hexagonal grid. Assembled E-ELT mirror segments A beehive honeycomb The scutes of a turtle's carapace Saturn's hexagon, a hexagonal cloud pattern...
31 KB (2,873 words) - 15:07, 3 June 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
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...
100 KB (5,446 words) - 19:48, 13 June 2025
The bitruncated cubic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of truncated octahedra (or, equivalently,...
15 KB (871 words) - 06:47, 7 November 2024
alternated cubic honeycomb Hexagonal prismatic honeycomb Triangular prismatic honeycomb Triangular-hexagonal prismatic honeycomb Truncated hexagonal prismatic...
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Heptagonal tiling (redirect from Order-3-3 heptagonal honeycomb)
Hurwitz surfaces. Wikimedia Commons has media related to Order-3 heptagonal tiling. Hexagonal tiling Tilings of regular polygons List of uniform planar...
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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) - 13:34, 13 April 2025
600-cell (redirect from Order-3-5 triangular honeycomb)
isoclinic rotation (as in the 24-cell's characteristic hexagonal rotation, and below in the hexagonal rotations of the 600-cell) this polygram is a hexagram:...
217 KB (28,920 words) - 13:47, 28 April 2025
5-cell (redirect from Order-3-3 triangular honeycomb)
tesseract {4,3,3} and 120-cell {5,3,3} of Euclidean 4-space, and the hexagonal tiling honeycomb {6,3,3} of hyperbolic space. It is one of three {3,3,p} regular...
38 KB (3,699 words) - 19:35, 25 March 2025
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...
16 KB (1,756 words) - 12:28, 2 April 2025
order-4 penteractic honeycomb. It is analogous to the square tiling of the plane and to the cubic honeycomb of 3-space, and the tesseractic honeycomb...
6 KB (470 words) - 21:36, 31 March 2024
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
downwards. This form has a hexagonal cross-section and identical copies can be connected as a partial hexagonal honeycomb, but all vertices will not match...
28 KB (2,042 words) - 06:29, 15 May 2025
Quasiregular polyhedron (redirect from Quasiregular honeycomb)
. A related paracompact alternated order-6 cubic honeycomb, h{4,3,6} has alternating tetrahedral and hexagonal tiling cells with vertex figure is a...
30 KB (1,523 words) - 09:47, 6 February 2025
Mundi; he was possibly the first to explore and to explain the hexagonal structures of honeycomb and snowflakes. Some two hundred years later in 1891, the...
58 KB (6,055 words) - 17:49, 20 May 2025