Acronym ...
Name hyperbolic order 6 cubical honeycomb
 
 ©
Circumradius 0 i
Dual o4o3o6x
Confer
general polytopal classes:
regular   noble polytopes  
External
links
wikipedia

This regular, non-compact hyperbolic tesselation uses the (q scaled) euclidean tiling trat in the sense of an infinite horohedron as vertex figure.


Incidence matrix according to Dynkin symbol

x4o3o6o   (N,M → ∞)

. . . . | 4N    M |  3M | 2M
--------+----+-----+-----+---
x . . . |  2 | 2NM |   6 |  6
--------+----+-----+-----+---
x4o . . |  4 |   4 | 3NM |  2
--------+----+-----+-----+---
x4o3o .   8 |  12 |   6 | NM

snubbed forms: s4o3o6o

x4o3o3o3*b   (N,M → ∞)

. . . .    | 8N    M |  3M |  M  M
-----------+----+-----+-----+------
x . . .    |  2 | 4NM |   6 |  3  3
-----------+----+-----+-----+------
x4o . .    |  4 |   4 | 6NM |  1  1
-----------+----+-----+-----+------
x4o3o .      8 |  12 |   6 | NM  *
x4o . o3*b   8 |  12 |   6 |  * NM

snubbed forms: s4o3o3o3*b

3-colored x4o3o3o3*b   (N,M → ∞)

8N    M   M   M |  3M  3M  3M |  6M
---+-------------+-------------+----
 2 | 4NM   *   * |   3   3   0 |   6  r
 2 |   * 4NM   * |   3   0   3 |   6  y
 2 |   *   * 4NM |   0   3   3 |   6  b
---+-------------+-------------+----
 4 |   2   2   0 | 6NM   *   * |   2  ry
 4 |   2   0   2 |   * 6NM   * |   2  rb
 4 |   0   2   2 |   *   * 6NM |   2  yb
---+-------------+-------------+----
 8 |   4   4   4 |   2   2   2 | 6NM  ryb-cube

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