• Thumbnail for Order-6 tetrahedral honeycomb
    In hyperbolic 3-space, the order-6 tetrahedral honeycomb is a paracompact regular space-filling tessellation (or honeycomb). It is paracompact because...
    12 KB (605 words) - 16:48, 3 August 2024
  • Thumbnail for Hexagonal tiling honeycomb
    figure. The runcicantellated hexagonal tiling honeycomb or runcitruncated order-6 tetrahedral honeycomb, t0,2,3{6,3,3}, has truncated tetrahedron, hexagonal...
    21 KB (843 words) - 16:48, 3 August 2024
  • Thumbnail for Tetrahedral-octahedral honeycomb
    The tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It...
    33 KB (2,200 words) - 03:59, 24 July 2024
  • Thumbnail for 16-cell
    5}), and the order-6 tetrahedral honeycomb {3,3,6} of hyperbolic space. It is first in a sequence of quasiregular polytopes and honeycombs h{4,p,q}, and...
    60 KB (7,175 words) - 03:39, 24 July 2024
  • Order-4 octahedral honeycomb Triangular tiling honeycomb Square tiling honeycomb Order-4 square tiling honeycomb Order-6 tetrahedral honeycomb Order-6...
    47 KB (3,580 words) - 17:01, 29 June 2024
  • Thumbnail for Semiregular polytope
    Tetrahedron-icosahedron honeycomb, Paracompact uniform honeycombs, 3D honeycombs, which include uniform tilings as cells: Rectified order-6 tetrahedral honeycomb, Rectified...
    9 KB (627 words) - 03:30, 24 July 2024
  • Thumbnail for 5-cell
    regular 4-polytopes with tetrahedral 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...
    38 KB (3,797 words) - 09:00, 5 September 2024
  • Thumbnail for 600-cell
    of Euclidean 4-space, and the order-6 tetrahedral honeycomb {3,3,6} of hyperbolic space. All of these have tetrahedral cells. This 4-polytope is a part...
    217 KB (28,934 words) - 10:59, 1 August 2024
  • Thumbnail for Honeycomb (geometry)
    include: The triangular prismatic honeycomb The gyrated triangular prismatic honeycomb The triakis truncated tetrahedral honeycomb. The Voronoi cells of the carbon...
    14 KB (1,321 words) - 01:30, 13 July 2024
  • Thumbnail for Sphere packing
    85.327613%, and is realized by the horosphere packing of the order-6 tetrahedral honeycomb with Schläfli symbol {3,3,6}. In addition to this configuration...
    28 KB (3,414 words) - 06:13, 21 May 2024
  • Thumbnail for Tesseract
    4-polytopes and honeycombs, {p,3,3} with tetrahedral vertex figures, {3,3}. The tesseract is also in a sequence of regular 4-polytope and honeycombs, {4,3,p}...
    25 KB (2,644 words) - 21:19, 2 September 2024
  • Thumbnail for Quarter cubic honeycomb
    shown with one colored tetrahedral and truncated tetrahedral cells. This honeycomb is one of five distinct uniform honeycombs constructed by the A ~ 3...
    8 KB (765 words) - 08:22, 3 September 2024
  • triangular prisms, within a triangular prismatic honeycomb, . Order-7 tetrahedral honeycomb List of regular polytopes The Beauty of Geometry: Twelve Essays...
    2 KB (140 words) - 16:57, 3 August 2024
  • Thumbnail for Triangular tiling honeycomb
    triangular tiling honeycomb, , is a lower-symmetry form of the hexagonal tiling honeycomb, . It contains hexagonal tiling facets with a tetrahedral vertex figure...
    18 KB (701 words) - 20:39, 27 August 2024
  • Thumbnail for List of regular polytopes
    constructionally related to prismatic uniform honeycombs by truncation operations. They are higher-dimensional analogues of the order-2 apeirogonal tiling and apeirogonal...
    99 KB (5,372 words) - 18:42, 10 September 2024
  • Tetrahedron (redirect from Tetrahedral)
    tetrahedron in the directly congruent sense, as in the disphenoid tetrahedral honeycomb. Regular tetrahedra, however, cannot fill space by themselves (moreover...
    75 KB (9,472 words) - 09:11, 11 September 2024
  • cubic honeycomb Runcitruncated cubic honeycomb Omnitruncated cubic honeycomb Tetrahedral-octahedral honeycomb Truncated alternated cubic honeycomb Cantitruncated...
    30 KB (2,685 words) - 07:39, 28 July 2024
  • icosidodecahedron, . A related paracompact alternated order-6 cubic honeycomb, h{4,3,6} has alternating tetrahedral and hexagonal tiling cells with vertex figure...
    30 KB (1,484 words) - 20:25, 15 September 2024
  • Thumbnail for Order-5 cubic honeycomb
    hyperbolic geometry, the order-5 cubic honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With...
    22 KB (844 words) - 16:48, 3 August 2024
  • Thumbnail for Icosahedral honeycomb
    In geometry, the icosahedral honeycomb is one of four compact, regular, space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli...
    19 KB (700 words) - 16:48, 3 August 2024
  • Thumbnail for Bitruncated cubic honeycomb
    its dual called an oblate tetrahedrille, also called a disphenoid tetrahedral honeycomb. Although a regular tetrahedron can not tessellate space alone,...
    15 KB (871 words) - 04:08, 24 July 2024
  • Thumbnail for Cubic honeycomb
    its dual called an oblate tetrahedrille, also called a disphenoid tetrahedral honeycomb. Although a regular tetrahedron can not tessellate space alone,...
    66 KB (3,191 words) - 16:48, 3 August 2024
  • Thumbnail for Infinite-order triangular tiling
    Wikimedia Commons has media related to Infinite-order triangular tiling. Infinite-order tetrahedral honeycomb List of regular polytopes List of uniform planar...
    3 KB (211 words) - 21:55, 12 December 2023
  • Thumbnail for Order-3-7 hexagonal honeycomb
    hyperbolic 3-space, the order-3-7 hexagonal honeycomb or (6,3,7 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli symbol {6...
    8 KB (419 words) - 21:28, 20 August 2024
  • Thumbnail for Order-5 hexagonal tiling honeycomb
    field of hyperbolic geometry, the order-5 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space...
    23 KB (832 words) - 09:02, 4 September 2024
  • paracompact uniform honeycombs generated from tetrahedral fundamental domains (rank 4 paracompact coxeter groups). The honeycombs are indexed here for...
    254 KB (1,050 words) - 08:52, 4 September 2024
  • Thumbnail for Order-8 triangular tiling
    tilings: Wikimedia Commons has media related to Order-8 triangular tiling. Order-8 tetrahedral honeycomb Tilings of regular polygons List of uniform planar...
    7 KB (359 words) - 21:56, 12 December 2023
  • Thumbnail for Tetrahedral bipyramid
    5-polytope with a tetrahedral prism vertex figure. And, as well, it exists as the cells of the dual to the rectified 24-cell honeycomb. Triangular bipyramid...
    3 KB (198 words) - 00:56, 12 August 2024
  • Thumbnail for Ideal polyhedron
    respectively the order-6 tetrahedral honeycomb, order-6 cubic honeycomb, order-4 octahedral honeycomb, and order-6 dodecahedral honeycomb; here the order refers...
    27 KB (3,228 words) - 22:22, 21 August 2024
  • geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells...
    18 KB (1,090 words) - 12:26, 18 August 2024