Acronym sidpithexah
Name hyperbolic small disprismated tetrahedral-hexagonal-tiling honeycomb,
hyperbolic prismated tetrahedral honeycomb,
hyperbolic runcinated tetrahedral honeycomb,
hyperbolic runcinated hexagonal tiling honeycomb
 
 ©
Circumradius sqrt[-(2+sqrt(3))] = 1.931852 i
External
links
wikipedia   polytopewiki  

This non-compact hyperbolic tesselation uses the euclidean tiling hexat in the sense of an infinite horohedron as one of its cells.


Incidence matrix according to Dynkin symbol

x3o3o6x   (N,M → ∞)

. . . . | 4NM |   3   3 |   3   6   3 |  1   3  3  1
--------+-----+---------+-------------+-------------
x . . . |   2 | 6NM   * |   2   2   0 |  1   2  1  0
. . . x |   2 |   * 6NM |   0   2   2 |  0   1  2  1
--------+-----+---------+-------------+-------------
x3o . . |   3 |   3   0 | 4NM   *   * |  1   1  0  0
x . . x |   4 |   2   2 |   * 6NM   * |  0   1  1  0
. . o6x |   6 |   0   6 |   *   * 2NM |  0   0  1  1
--------+-----+---------+-------------+-------------
x3o3o .    4 |   6   0 |   4   0   0 | NM   *  *  *
x3o . x    6 |   6   3 |   2   3   0 |  * 2NM  *  *
x . o6x   12 |   6  12 |   0   6   2 |  *   * NM  *
. o3o6x   2M |   0  3M |   0   0   M |  *   *  * 2N

© 2004-2025
top of page