Acronym catjak (old: detidjik)
Name cellitruncated icosiheptapeton
(disteridisicosiheptaheptacontidipeton)
Circumradius sqrt(20/3) = 2.581989
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Incidence matrix according to Dynkin symbol

x3x3o3o3x *c3o

. . . . .    . | 2160 |    1    6    4 |    6    4   12   12    6 |   12   12    6    4   12    4    6    4 |   4   12   4   6    4   4   1    4   1 |  4  1   4   1  1
---------------+------+----------------+--------------------------+-----------------------------------------+----------------------------------------+-----------------
x . . . .    . |    2 | 1080    *    * |    6    4    0    0    0 |   12   12    6    0    0    0    0    0 |   4   12   4   6    4   0   0    0   0 |  4  1   4   1  0
. x . . .    . |    2 |    * 6480    * |    1    0    4    2    0 |    4    2    0    2    4    2    1    0 |   2    4   2   1    0   2   1    2   0 |  2  1   2   0  1
. . . . x    . |    2 |    *    * 4320 |    0    1    0    3    3 |    0    3    3    0    3    0    3    3 |   0    3   0   3    3   3   0    1   1 |  3  0   1   1  1
---------------+------+----------------+--------------------------+-----------------------------------------+----------------------------------------+-----------------
x3x . . .    . |    6 |    3    3    0 | 2160    *    *    *    * |    4    2    0    0    0    0    0    0 |   2    4   2   1    0   0   0    0   0 |  2  1   2   0  0
x . . . x    . |    4 |    2    0    2 |    * 2160    *    *    * |    0    3    3    0    0    0    0    0 |   0    3   0   3    3   0   0    0   0 |  3  0   1   1  0
. x3o . .    . |    3 |    0    3    0 |    *    * 8640    *    * |    1    0    0    1    1    1    0    0 |   1    1   1   0    0   1   1    1   0 |  1  1   1   0  1
. x . . x    . |    4 |    0    2    2 |    *    *    * 6480    * |    0    1    0    0    2    0    1    0 |   0    2   0   1    0   2   0    1   0 |  2  0   1   0  1
. . . o3x    . |    3 |    0    0    3 |    *    *    *    * 4320 |    0    0    1    0    0    0    1    2 |   0    0   0   1    2   2   0    0   1 |  2  0   0   1  1
---------------+------+----------------+--------------------------+-----------------------------------------+----------------------------------------+-----------------
x3x3o . .    .    12 |    6   12    0 |    4    0    4    0    0 | 2160    *    *    *    *    *    *    * |   1    1   1   0    0   0   0    0   0 |  1  1   1   0  0
x3x . . x    .    12 |    6    6    6 |    2    3    0    3    0 |    * 2160    *    *    *    *    *    * |   0    2   0   1    0   0   0    0   0 |  2  0   1   0  0
x . . o3x    .     6 |    3    0    6 |    0    3    0    0    2 |    *    * 2160    *    *    *    *    * |   0    0   0   1    2   0   0    0   0 |  2  0   0   1  0
. x3o3o .    .     4 |    0    6    0 |    0    0    4    0    0 |    *    *    * 2160    *    *    *    * |   1    0   0   0    0   1   1    0   0 |  1  1   0   0  1
. x3o . x    .     6 |    0    6    3 |    0    0    2    3    0 |    *    *    *    * 4320    *    *    * |   0    1   0   0    0   1   0    1   0 |  1  0   1   0  1
. x3o . . *c3o     4 |    0    6    0 |    0    0    4    0    0 |    *    *    *    *    * 2160    *    * |   0    0   1   0    0   0   1    1   0 |  0  1   1   0  1
. x . o3x    .     6 |    0    3    6 |    0    0    0    3    2 |    *    *    *    *    *    * 2160    * |   0    0   0   1    0   2   0    0   0 |  2  0   0   0  1
. . o3o3x    .     4 |    0    0    6 |    0    0    0    0    4 |    *    *    *    *    *    *    * 2160 |   0    0   0   0    1   1   0    0   1 |  1  0   0   1  1
---------------+------+----------------+--------------------------+-----------------------------------------+----------------------------------------+-----------------
x3x3o3o .    .    20 |   10   30    0 |   10    0   20    0    0 |    5    0    0    5    0    0    0    0 | 432    *   *   *    *   *   *    *   * |  1  1   0   0  0
x3x3o . x    .    24 |   12   24   12 |    8    6    8   12    0 |    2    4    0    0    4    0    0    0 |   * 1080   *   *    *   *   *    *   * |  1  0   1   0  0
x3x3o . . *c3o    20 |   10   30    0 |   10    0   20    0    0 |    5    0    0    0    0    5    0    0 |   *    * 432   *    *   *   *    *   * |  0  1   1   0  0
x3x . o3x    .    18 |    9    9   18 |    3    9    0    9    6 |    0    3    3    0    0    0    3    0 |   *    *   * 720    *   *   *    *   * |  2  0   0   0  0
x . o3o3x    .     8 |    4    0   12 |    0    6    0    0    8 |    0    0    4    0    0    0    0    2 |   *    *   *   * 1080   *   *    *   * |  1  0   0   1  0
. x3o3o3x    .    20 |    0   30   30 |    0    0   20   30   20 |    0    0    0    5   10    0   10    5 |   *    *   *   *    * 432   *    *   * |  1  0   0   0  1
. x3o3o . *c3o     8 |    0   24    0 |    0    0   32    0    0 |    0    0    0    8    0    8    0    0 |   *    *   *   *    *   * 270    *   * |  0  1   0   0  1
. x3o . x *c3o     8 |    0   12    4 |    0    0    8    6    0 |    0    0    0    0    4    2    0    0 |   *    *   *   *    *   *   * 1080   * |  0  0   1   0  1
. . o3o3x *c3o     5 |    0    0   10 |    0    0    0    0   10 |    0    0    0    0    0    0    0    5 |   *    *   *   *    *   *   *    * 432 |  0  0   0   1  1
---------------+------+----------------+--------------------------+-----------------------------------------+----------------------------------------+-----------------
x3x3o3o3x    .   120 |   60  180  180 |   60   90  120  180  120 |   30   60   60   30   60    0   60   30 |   6   15   0  20   15   6   0    0   0 | 72  *   *   *  *
x3x3o3o . *c3o    80 |   40  240    0 |   80    0  320    0    0 |   80    0    0   80    0   80    0    0 |  16    0  16   0    0   0  10    0   0 |  * 27   *   *  *
x3x3o . x *c3o    40 |   20   60   20 |   20   10   40   30    0 |   10   10    0    0   20   10    0    0 |   0    5   2   0    0   0   0    5   0 |  *  * 216   *  *
x . o3o3x *c3o    10 |    5    0   20 |    0   10    0    0   20 |    0    0   10    0    0    0    0   10 |   0    0   0   0    5   0   0    0   2 |  *  *   * 216  *
. x3o3o3x *c3o    80 |    0  240  160 |    0    0  320  240  160 |    0    0    0   80  160   80   80   80 |   0    0   0   0    0  16  10   40  16 |  *  *   *   * 27

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