Acronym ...
Name hyperbolic x3oØo3*a4oØo4*a tesselation,
noble cuboctahedral honeycomb
Circumradius 0 i
Confer
general polytopal classes:
noble polytopes  

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


Incidence matrix according to Dynkin symbol


x3oØo3*a4oØo4*a   (N,M → ∞)

. . .    . .    | 12N    4M |  2M  2M  2M  2M |  M  M  M  M
----------------+-----+------+-----------------+------------
x . .    . .    |   2 | 24NM |   1   1   1   1 |  1  1  1  1
----------------+-----+------+-----------------+------------
x3o .    . .    |   3 |    3 | 8NM   *   *   * |  1  1  0  0
x . o3*a . .    |   3 |    3 |   * 8NM   *   * |  0  0  1  1
x . . *a4o .    |   4 |    4 |   *   * 6NM   * |  1  0  1  0
x . .    . o4*a |   4 |    4 |   *   *   * 6NM |  0  1  0  1
----------------+-----+------+-----------------+------------
x3o . *a4o .      12 |   24 |   8   0   6   0 | NM  *  *  *
x3o .    . o4*a   12 |   24 |   8   0   0   6 |  * NM  *  *
x . o3*a4o .      12 |   24 |   0   8   6   0 |  *  * NM  *
x . o3*a . o4*a   12 |   24 |   0   8   0   6 |  *  *  * NM
or
. . .    . .    | 12N    M |   M   M |  M
----------------+-----+-----+---------+---
x . .    . .    |   2 | 6NM |   2   2 |  4
----------------+-----+-----+---------+---
x3o .    . .  & |   3 |   3 | 4NM   * |  2
x . . *a4o .  & |   4 |   4 |   * 3NM |  2
----------------+-----+-----+---------+---
x3o . *a4o .  &   12 |  24 |   8   6 | NM

© 2004-2025
top of page