Acronym ...
Name hyperbolic x3x4o3o4*a tesselation,
cyclotruncated octahedral-cubic honeycomb
 
 ©
Circumradius 1 i
Vertex figure
 ©
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3x4o3o4*a   (N → ∞)

. . . .    | 8N |   3   3 |  6  3  3 | 3 3 1 1
-----------+----+---------+----------+--------
x . . .    |  2 | 12N   * |  2  2  0 | 1 2 1 0
. x . .    |  2 |   * 12N |  2  0  2 | 2 1 0 1
-----------+----+---------+----------+--------
x3x . .    |  6 |   3   3 | 8N  *  * | 1 1 0 0
x . . o4*a |  4 |   4   0 |  * 6N  * | 0 1 1 0
. x4o .    |  4 |   0   4 |  *  * 6N | 1 0 0 1
-----------+----+---------+----------+--------
x3x4o .     24 |  12  24 |  8  0  6 | N * * *
x3x . o4*a  24 |  24  12 |  8  6  0 | * N * *
x . o3o4*a   8 |  12   0 |  0  6  0 | * * N *
. x4o3o      8 |   0  12 |  0  0  6 | * * * N
or
. . . .       | 4N |   6 |  6  6 | 6 2
--------------+----+-----+-------+----
x . . .     & |  2 | 12N |  2  2 | 3 1
--------------+----+-----+-------+----
x3x . .       |  6 |   6 | 4N  * | 2 0
x . . o4*a  & |  4 |   4 |  * 6N | 1 1
--------------+----+-----+-------+----
x3x4o .     &  24 |  36 |  8  6 | N *
x . o3o4*a  &   8 |  12 |  0  6 | * N

x3x3x3x3x3x3*aØ*d *bØ*e *cØ*f

. . . . . .                   | 24N |   1   1   1   1   1   1 |  1  1  1  1  1  1  1  1  1  1  1  1 | 1 1  1 1 1  1 1 1
------------------------------+-----+-------------------------+-------------------------------------+------------------
x . . . . .                   |   2 | 12N   *   *   *   *   * |  1  1  1  1  0  0  0  0  0  0  0  0 | 1 1  1 1 0  0 0 0
. x . . . .                   |   2 |   * 12N   *   *   *   * |  1  0  0  0  1  1  1  0  0  0  0  0 | 1 1  0 0 1  1 0 0
. . x . . .                   |   2 |   *   * 12N   *   *   * |  0  1  0  0  1  0  0  1  1  0  0  0 | 1 0  1 0 1  0 1 0
. . . x . .                   |   2 |   *   *   * 12N   *   * |  0  0  0  0  0  1  0  1  0  1  1  0 | 0 0  0 0 1  1 1 1
. . . . x .                   |   2 |   *   *   *   * 12N   * |  0  0  1  0  0  0  0  0  1  1  0  1 | 0 0  1 1 0  0 1 1
. . . . . x                   |   2 |   *   *   *   *   * 12N |  0  0  0  1  0  0  1  0  0  0  1  1 | 0 1  0 1 0  1 0 1
------------------------------+-----+-------------------------+-------------------------------------+------------------
x3x . . . .                   |   6 |   3   3   0   0   0   0 | 4N  *  *  *  *  *  *  *  *  *  *  * | 1 1  0 0 0  0 0 0
x . x . . .                   |   4 |   2   0   2   0   0   0 |  * 6N  *  *  *  *  *  *  *  *  *  * | 1 0  1 0 0  0 0 0
x . . . x .                   |   4 |   2   0   0   0   2   0 |  *  * 6N  *  *  *  *  *  *  *  *  * | 0 0  1 1 0  0 0 0
x . . . . x3*a                |   6 |   3   0   0   0   0   3 |  *  *  * 4N  *  *  *  *  *  *  *  * | 0 1  0 1 0  0 0 0
. x3x . . .                   |   6 |   0   3   3   0   0   0 |  *  *  *  * 4N  *  *  *  *  *  *  * | 1 0  0 0 1  0 0 0
. x . x . .                   |   4 |   0   2   0   2   0   0 |  *  *  *  *  * 6N  *  *  *  *  *  * | 0 0  0 0 1  1 0 0
. x . . . x                   |   4 |   0   2   0   0   0   2 |  *  *  *  *  *  * 6N  *  *  *  *  * | 0 1  0 0 0  1 0 0
. . x3x . .                   |   6 |   0   0   3   3   0   0 |  *  *  *  *  *  *  * 4N  *  *  *  * | 0 0  0 0 1  0 1 0
. . x . x .                   |   4 |   0   0   2   0   2   0 |  *  *  *  *  *  *  *  * 6N  *  *  * | 0 0  1 0 0  0 1 0
. . . x3x .                   |   6 |   0   0   0   3   3   0 |  *  *  *  *  *  *  *  *  * 4N  *  * | 0 0  0 0 0  0 1 1
. . . x . x                   |   4 |   0   0   0   2   0   2 |  *  *  *  *  *  *  *  *  *  * 6N  * | 0 0  0 0 0  1 0 1
. . . . x3x                   |   6 |   0   0   0   0   3   3 |  *  *  *  *  *  *  *  *  *  *  * 4N | 0 0  0 1 0  0 0 1
------------------------------+-----+-------------------------+-------------------------------------+------------------
x3x3x . . .                     24 |  12  12  12   0   0   0 |  4  6  0  0  4  0  0  0  0  0  0  0 | N *  * * *  * * *
x3x . . . x3*a                  24 |  12  12   0   0   0  12 |  4  0  0  4  0  0  6  0  0  0  0  0 | * N  * * *  * * *
x . x . x .                      8 |   4   0   4   0   4   0 |  0  2  2  0  0  0  0  0  2  0  0  0 | * * 3N * *  * * *
x . . . x3x3*a                  24 |  12   0   0   0  12  12 |  0  0  6  4  0  0  0  0  0  0  0  4 | * *  * N *  * * *
. x3x3x . .                     24 |   0  12  12  12   0   0 |  0  0  0  0  4  6  0  4  0  0  0  0 | * *  * * N  * * *
. x . x . x                      8 |   0   4   0   4   0   4 |  0  0  0  0  0  2  2  0  0  0  2  0 | * *  * * * 3N * *
. . x3x3x .                     24 |   0   0  12  12  12   0 |  0  0  0  0  0  0  0  4  6  4  0  0 | * *  * * *  * N *
. . . x3x3x                     24 |   0   0   0  12  12  12 |  0  0  0  0  0  0  0  0  0  4  6  4 | * *  * * *  * * N

© 2004-2019
top of page