• Thumbnail for Convex uniform honeycomb
    geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral...
    67 KB (2,193 words) - 09:49, 5 October 2024
  • Thumbnail for Tetrahedral-octahedral honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    33 KB (2,200 words) - 03:59, 24 July 2024
  • Thumbnail for Honeycomb (geometry)
    spaces, such as hyperbolic honeycombs. Any finite uniform polytope can be projected to its circumsphere to form a uniform honeycomb in spherical space. There...
    14 KB (1,321 words) - 01:30, 13 July 2024
  • Thumbnail for Triangular prismatic honeycomb
    from a triangular tiling extruded into prisms. It is one of 28 convex uniform honeycombs. It consists of 1 + 6 + 1 = 8 edges meeting at a vertex, There...
    17 KB (920 words) - 03:59, 24 July 2024
  • Thumbnail for Cubic honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    66 KB (3,191 words) - 03:59, 10 November 2024
  • In geometry, a uniform honeycomb or uniform tessellation or infinite uniform polytope, is a vertex-transitive honeycomb made from uniform polytope facets...
    6 KB (432 words) - 00:15, 20 September 2023
  • Dihedron Hosohedron Convex uniform honeycomb Cubic honeycomb Truncated cubic honeycomb Bitruncated cubic honeycomb Cantellated cubic honeycomb Cantitruncated...
    47 KB (3,580 words) - 17:01, 29 June 2024
  • Thumbnail for Bitruncated cubic honeycomb
    Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)...
    15 KB (871 words) - 06:47, 7 November 2024
  • Thumbnail for Uniform 4-polytope
    non-Wythoffian convex 4-polytope, the grand antiprism. 1966 Norman Johnson completes his Ph.D. dissertation The Theory of Uniform Polytopes and Honeycombs under...
    134 KB (4,310 words) - 09:25, 13 October 2024
  • Thumbnail for Uniform honeycombs in hyperbolic space
    tessellation of uniform polyhedral cells. In 3-dimensional hyperbolic space there are nine Coxeter group families of compact convex uniform honeycombs, generated...
    88 KB (1,616 words) - 11:39, 26 October 2024
  • Thumbnail for Order-5 cubic honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    22 KB (844 words) - 16:48, 3 August 2024
  • Thumbnail for Order-4 dodecahedral honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    15 KB (659 words) - 16:57, 3 August 2024
  • Thumbnail for Quarter cubic honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    8 KB (765 words) - 08:22, 3 September 2024
  • Thumbnail for List of Euclidean uniform tilings
    nonwythoffian   Convex uniform honeycomb – The 28 uniform 3-dimensional tessellations, a parallel construction to the convex uniform Euclidean plane tilings...
    15 KB (953 words) - 03:56, 4 September 2024
  • Thumbnail for Order-5 dodecahedral honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    16 KB (663 words) - 16:48, 3 August 2024
  • other 5-cells. This inversion results in another non-Wythoffian uniform convex honeycomb. Octahedral prisms and tetrahedral prisms may be inserted in between...
    18 KB (1,090 words) - 10:01, 24 September 2024
  • Thumbnail for Icosahedral honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    19 KB (700 words) - 16:48, 3 August 2024
  • Tetrahemihexacron Convex uniform honeycomb Cubic honeycomb Truncated cubic honeycomb Bitruncated cubic honeycomb Cantellated cubic honeycomb Cantitruncated...
    30 KB (2,685 words) - 07:39, 28 July 2024
  • Thumbnail for Order-6 cubic honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    21 KB (908 words) - 09:58, 5 October 2024
  • Thumbnail for Order-4 square tiling honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    20 KB (845 words) - 16:57, 3 August 2024
  • number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    13 KB (588 words) - 10:12, 24 September 2024
  • Thumbnail for List of regular polytopes
    regular 4-polytopes, 4 convex and 10 star (Schläfli–Hess)) Tessellation Tilings of regular polygons Convex uniform honeycomb Regular map (graph theory)...
    99 KB (5,360 words) - 14:07, 12 November 2024
  • Thumbnail for Order-4 octahedral honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    14 KB (615 words) - 16:57, 3 August 2024
  • Thumbnail for Order-6 tetrahedral honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    12 KB (605 words) - 09:57, 5 October 2024
  • Thumbnail for Order-6 hexagonal tiling honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    24 KB (961 words) - 09:02, 4 September 2024
  • Thumbnail for Order-5 hexagonal tiling honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    23 KB (832 words) - 09:58, 5 October 2024
  • Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)...
    3 KB (201 words) - 16:05, 2 November 2022
  • Thumbnail for Square tiling honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    26 KB (898 words) - 16:48, 3 August 2024
  • Thumbnail for Triangular tiling honeycomb
    number of dimensions. Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed...
    18 KB (701 words) - 11:14, 5 October 2024
  • sponges. Many are directly related to a convex uniform honeycomb, being the polygonal surface of a honeycomb with some of the cells removed. Characteristically...
    11 KB (861 words) - 04:01, 8 February 2024