Acronym octh
Name hyperbolic order 4 octahedral honeycomb
 
 ©
Circumradius 0 i
Dual o3o4o4x
Confer
general polytopal classes:
regular   noble polytopes  
External
links
wikipedia

This non-compact hyperbolic tesselation uses the squat in the sense of an infinite horohedron for its vertex figure.


Incidence matrix according to Dynkin symbol

x3o4o4o   (N,M → ∞)

. . . . | 6N    M |  2M |  M
--------+----+-----+-----+---
x . . . |  2 | 3NM |   4 |  4
--------+----+-----+-----+---
x3o . . |  3 |   3 | 4NM |  2
--------+----+-----+-----+---
x3o4o .   6 |  12 |   8 | NM

x3oØo3*a3oØo3*a   (N,M → ∞)

. . .    . .    | 6N    4M |  2M  2M  2M  2M |  M  M  M  M
----------------+----+------+-----------------+------------
x . .    . .    |  2 | 12NM |   1   1   1   1 |  1  1  1  1
----------------+----+------+-----------------+------------
x3o .    . .    |  3 |    3 | 4NM   *   *   * |  1  1  0  0
x . o3*a . .    |  3 |    3 |   * 4NM   *   * |  0  0  1  1
x . . *a3o .    |  3 |    3 |   *   * 4NM   * |  1  0  1  0
x . .    . o3*a |  3 |    3 |   *   *   * 4NM |  0  1  0  1
----------------+----+------+-----------------+------------
x3o . *a3o .      6 |   12 |   4   0   4   0 | NM  *  *  *
x3o .    . o4*a   6 |   12 |   4   0   0   4 |  * NM  *  *
x . o3*a3o .      6 |   12 |   0   4   4   0 |  *  * NM  *
x . o3*a . o4*a   6 |   12 |   0   4   0   4 |  *  *  * NM

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