Acronym haprojak
Name demiprismatorhombated icosiheptapeton
Circumradius sqrt(38/3) = 3.559026
Face vector 6480, 25920, 34560, 19440, 4662, 342
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x3o3x3x3o *c3o

. . . . .    . | 6480 |    2     4    2 |    1    4    4    2    8    2    1 |    2    2    8    2    2    4    1    4    4 |   4   1   1    4    4   2   2   2 |  2  2   2  1
---------------+------+-----------------+------------------------------------+----------------------------------------------+-----------------------------------+-------------
x . . . .    . |    2 | 6480     *    * |    1    2    2    0    0    0    0 |    2    2    4    1    1    0    0    0    0 |   4   1   1    2    2   0   0   0 |  2  2   1  0
. . x . .    . |    2 |    * 12960    * |    0    1    0    1    2    1    0 |    1    0    2    1    0    2    1    1    2 |   2   1   0    1    2   1   2   1 |  1  2   1  1
. . . x .    . |    2 |    *     * 6480 |    0    0    2    0    4    0    1 |    0    1    4    0    2    2    0    4    2 |   2   0   1    4    2   2   1   2 |  2  1   2  1
---------------+------+-----------------+------------------------------------+----------------------------------------------+-----------------------------------+-------------
x3o . . .    . |    3 |    3     0    0 | 2160    *    *    *    *    *    * |    2    2    0    0    0    0    0    0    0 |   4   1   1    0    0   0   0   0 |  2  2   0  0
x . x . .    . |    4 |    2     2    0 |    * 6480    *    *    *    *    * |    1    0    2    1    0    0    0    0    0 |   2   1   0    1    2   0   0   0 |  1  2   1  0
x . . x .    . |    4 |    2     0    2 |    *    * 6480    *    *    *    * |    0    1    2    0    1    0    0    0    0 |   2   0   1    2    1   0   0   0 |  2  1   1  0
. o3x . .    . |    3 |    0     3    0 |    *    *    * 4320    *    *    * |    1    0    0    0    0    2    1    0    0 |   2   1   0    0    0   1   2   0 |  1  2   0  1
. . x3x .    . |    6 |    0     3    3 |    *    *    *    * 8640    *    * |    0    0    1    0    0    1    0    1    1 |   1   0   0    1    1   1   1   1 |  1  1   1  1
. . x . . *c3o |    3 |    0     3    0 |    *    *    *    *    * 4320    * |    0    0    0    1    0    0    1    0    2 |   0   1   0    0    2   0   2   1 |  0  2   1  1
. . . x3o    . |    3 |    0     0    3 |    *    *    *    *    *    * 2160 |    0    0    0    0    2    0    0    4    0 |   0   0   1    4    0   2   0   2 |  2  0   2  1
---------------+------+-----------------+------------------------------------+----------------------------------------------+-----------------------------------+-------------
x3o3x . .    .    12 |   12    12    0 |    4    6    0    4    0    0    0 | 1080    *    *    *    *    *    *    *    * |   2   1   0    0    0   0   0   0 |  1  2   0  0
x3o . x .    .     6 |    6     0    3 |    2    0    3    0    0    0    0 |    * 2160    *    *    *    *    *    *    * |   2   0   1    0    0   0   0   0 |  2  1   0  0
x . x3x .    .    12 |    6     6    6 |    0    3    3    0    2    0    0 |    *    * 4320    *    *    *    *    *    * |   1   0   0    1    1   0   0   0 |  1  1   1  0
x . x . . *c3o     6 |    3     6    0 |    0    3    0    0    0    2    0 |    *    *    * 2160    *    *    *    *    * |   0   1   0    0    2   0   0   0 |  0  2   1  0
x . . x3o    .     6 |    3     0    6 |    0    0    3    0    0    0    2 |    *    *    *    * 2160    *    *    *    * |   0   0   1    2    0   0   0   0 |  2  0   1  0
. o3x3x .    .    12 |    0    12    6 |    0    0    0    4    4    0    0 |    *    *    *    *    * 2160    *    *    * |   1   0   0    0    0   1   1   0 |  1  1   0  1
. o3x . . *c3o     6 |    0    12    0 |    0    0    0    4    0    4    0 |    *    *    *    *    *    * 1080    *    * |   0   1   0    0    0   0   2   0 |  0  2   0  1
. . x3x3o    .    12 |    0     6   12 |    0    0    0    0    4    0    4 |    *    *    *    *    *    *    * 2160    * |   0   0   0    1    0   1   0   1 |  1  0   1  1
. . x3x . *c3o    12 |    0    12    6 |    0    0    0    0    4    4    0 |    *    *    *    *    *    *    *    * 2160 |   0   0   0    0    1   0   1   1 |  0  1   1  1
---------------+------+-----------------+------------------------------------+----------------------------------------------+-----------------------------------+-------------
x3o3x3x .    .    60 |   60    60   30 |   20   30   30   20   20    0    0 |    5   10   10    0    0    5    0    0    0 | 432   *   *    *    *   *   *   * |  1  1   0  0
x3o3x . . *c3o    30 |   30    60    0 |   10   30    0   20    0   20    0 |    5    0    0   10    0    0    5    0    0 |   * 216   *    *    *   *   *   * |  0  2   0  0
x3o . x3o    .     9 |    9     0    9 |    3    0    9    0    0    0    3 |    0    3    0    0    3    0    0    0    0 |   *   * 720    *    *   *   *   * |  2  0   0  0
x . x3x3o    .    24 |   12    12   24 |    0    6   12    0    8    0    8 |    0    0    4    0    4    0    0    2    0 |   *   *   * 1080    *   *   *   * |  1  0   1  0
x . x3x . *c3o    24 |   12    24   12 |    0   12    6    0    8    8    0 |    0    0    4    4    0    0    0    0    2 |   *   *   *    * 1080   *   *   * |  0  1   1  0
. o3x3x3o    .    30 |    0    30   30 |    0    0    0   10   20    0   10 |    0    0    0    0    0    5    0    5    0 |   *   *   *    *    * 432   *   * |  1  0   0  1
. o3x3x . *c3o    48 |    0    96   24 |    0    0    0   32   32   32    0 |    0    0    0    0    0    8    8    0    8 |   *   *   *    *    *   * 270   * |  0  1   0  1
. . x3x3o *c3o    30 |    0    30   30 |    0    0    0    0   20   10   10 |    0    0    0    0    0    0    0    5    5 |   *   *   *    *    *   *   * 432 |  0  0   1  1
---------------+------+-----------------+------------------------------------+----------------------------------------------+-----------------------------------+-------------
x3o3x3x3o    .   180 |  180   180  180 |   60   90  180   60  120    0   60 |   15   60   60    0   60   30    0   30    0 |   6   0  20   15    0   6   0   0 | 72  *   *  *
x3o3x3x . *c3o   480 |  480   960  240 |  160  480  240  320  320  320    0 |   80   80  160  160    0   80   80    0   80 |  16  16   0    0   40   0  10   0 |  * 27   *  *
x . x3x3o *c3o    60 |   30    60   60 |    0   30   30    0   40   20   20 |    0    0   20   10   10    0    0   10   10 |   0   0   0    5    5   0   0   2 |  *  * 216  *
. o3x3x3o *c3o   240 |    0   480  240 |    0    0    0  160  320  160   80 |    0    0    0    0    0   80   40   80   80 |   0   0   0    0    0  16  10  16 |  *  *   * 27

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