Acronym captal
Name celliprismatotruncated heptapeton,
steriruncitruncated heptapeton
Circumradius sqrt(47/7) = 2.591194
Face vector 1260, 4410, 5670, 3360, 945, 105
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

x3x3o3x3x3o

. . . . . . | 1260 |   1    2    2    2 |   2   2   2   1   2    4   1   4   1 |   1   2   4   1   4   1   1   2   4   2   2   2 |  1   2   4   2   2   2  2   1   2  1 | 2  1  2  1 1
------------+------+--------------------+--------------------------------------+-------------------------------------------------+--------------------------------------+-------------
x . . . . . |    2 | 630    *    *    * |   2   2   2   0   0    0   0   0   0 |   1   2   4   1   4   1   0   0   0   0   0   0 |  1   2   4   2   2   2  0   0   0  0 | 2  1  2  1 0
. x . . . . |    2 |   * 1260    *    * |   1   0   0   1   1    2   0   0   0 |   1   1   2   0   0   0   1   2   2   1   0   0 |  1   2   2   1   0   0  2   1   1  0 | 2  1  1  0 1
. . . x . . |    2 |   *    * 1260    * |   0   1   0   0   1    0   1   2   0 |   0   1   0   1   2   0   1   0   2   0   2   1 |  1   0   2   0   2   1  2   0   1  1 | 2  0  1  1 1
. . . . x . |    2 |   *    *    * 1260 |   0   0   1   0   0    2   0   2   1 |   0   0   2   0   2   1   0   1   2   2   1   2 |  0   1   2   2   1   2  1   1   2  1 | 1  1  2  1 1
------------+------+--------------------+--------------------------------------+-------------------------------------------------+--------------------------------------+-------------
x3x . . . . |    6 |   3    3    0    0 | 420   *   *   *   *    *   *   *   * |   1   1   2   0   0   0   0   0   0   0   0   0 |  1   2   2   1   0   0  0   0   0  0 | 2  1  1  0 0
x . . x . . |    4 |   2    0    2    0 |   * 630   *   *   *    *   *   *   * |   0   1   0   1   2   0   0   0   0   0   0   0 |  1   0   2   0   2   1  0   0   0  0 | 2  0  1  1 0
x . . . x . |    4 |   2    0    0    2 |   *   * 630   *   *    *   *   *   * |   0   0   2   0   2   1   0   0   0   0   0   0 |  0   1   2   2   1   2  0   0   0  0 | 1  1  2  1 0
. x3o . . . |    3 |   0    3    0    0 |   *   *   * 420   *    *   *   *   * |   1   0   0   0   0   0   1   2   0   0   0   0 |  1   2   0   0   0   0  2   1   0  0 | 2  1  0  0 1
. x . x . . |    4 |   0    2    2    0 |   *   *   *   * 630    *   *   *   * |   0   1   0   0   0   0   1   0   2   0   0   0 |  1   0   2   0   0   0  2   0   1  0 | 2  0  1  0 1
. x . . x . |    4 |   0    2    0    2 |   *   *   *   *   * 1260   *   *   * |   0   0   1   0   0   0   0   1   1   1   0   0 |  0   1   1   1   0   0  1   1   1  0 | 1  1  1  0 1
. . o3x . . |    3 |   0    0    3    0 |   *   *   *   *   *    * 420   *   * |   0   0   0   1   0   0   1   0   0   0   2   0 |  1   0   0   0   2   0  2   0   0  1 | 2  0  0  1 1
. . . x3x . |    6 |   0    0    3    3 |   *   *   *   *   *    *   * 840   * |   0   0   0   0   1   0   0   0   1   0   1   1 |  0   0   1   0   1   1  1   0   1  1 | 1  0  1  1 1
. . . . x3o |    3 |   0    0    0    3 |   *   *   *   *   *    *   *   * 420 |   0   0   0   0   0   1   0   0   0   2   0   2 |  0   0   0   2   0   2  0   1   2  1 | 0  1  2  1 1
------------+------+--------------------+--------------------------------------+-------------------------------------------------+--------------------------------------+-------------
x3x3o . . .    12 |   6   12    0    0 |   4   0   0   4   0    0   0   0   0 | 105   *   *   *   *   *   *   *   *   *   *   * |  1   2   0   0   0   0  0   0   0  0 | 2  1  0  0 0
x3x . x . .    12 |   6    6    6    0 |   2   3   0   0   3    0   0   0   0 |   * 210   *   *   *   *   *   *   *   *   *   * |  1   0   2   0   0   0  0   0   0  0 | 2  0  1  0 0
x3x . . x .    12 |   6    6    0    6 |   2   0   3   0   0    3   0   0   0 |   *   * 420   *   *   *   *   *   *   *   *   * |  0   1   1   1   0   0  0   0   0  0 | 1  1  1  0 0
x . o3x . .     6 |   3    0    6    0 |   0   3   0   0   0    0   2   0   0 |   *   *   * 210   *   *   *   *   *   *   *   * |  1   0   0   0   2   0  0   0   0  0 | 2  0  0  1 0
x . . x3x .    12 |   6    0    6    6 |   0   3   3   0   0    0   0   2   0 |   *   *   *   * 420   *   *   *   *   *   *   * |  0   0   1   0   1   1  0   0   0  0 | 1  0  1  1 0
x . . . x3o     6 |   3    0    0    6 |   0   0   3   0   0    0   0   0   2 |   *   *   *   *   * 210   *   *   *   *   *   * |  0   0   0   2   0   2  0   0   0  0 | 0  1  2  1 0
. x3o3x . .    12 |   0   12   12    0 |   0   0   0   4   6    0   4   0   0 |   *   *   *   *   *   * 105   *   *   *   *   * |  1   0   0   0   0   0  2   0   0  0 | 2  0  0  0 1
. x3o . x .     6 |   0    6    0    3 |   0   0   0   2   0    3   0   0   0 |   *   *   *   *   *   *   * 420   *   *   *   * |  0   1   0   0   0   0  1   1   0  0 | 1  1  0  0 1
. x . x3x .    12 |   0    6    6    6 |   0   0   0   0   3    3   0   2   0 |   *   *   *   *   *   *   *   * 420   *   *   * |  0   0   1   0   0   0  1   0   1  0 | 1  0  1  0 1
. x . . x3o     6 |   0    3    0    6 |   0   0   0   0   0    3   0   0   2 |   *   *   *   *   *   *   *   *   * 420   *   * |  0   0   0   1   0   0  0   1   1  0 | 0  1  1  0 1
. . o3x3x .    12 |   0    0   12    6 |   0   0   0   0   0    0   4   4   0 |   *   *   *   *   *   *   *   *   *   * 210   * |  0   0   0   0   1   0  1   0   0  1 | 1  0  0  1 1
. . . x3x3o    12 |   0    0    6   12 |   0   0   0   0   0    0   0   4   4 |   *   *   *   *   *   *   *   *   *   *   * 210 |  0   0   0   0   0   1  0   0   1  1 | 0  0  1  1 1
------------+------+--------------------+--------------------------------------+-------------------------------------------------+--------------------------------------+-------------
x3x3o3x . .    60 |  30   60   60    0 |  20  30   0  20  30    0  20   0   0 |   5  10   0  10   0   0   5   0   0   0   0   0 | 21   *   *   *   *   *  *   *   *  * | 2  0  0  0 0
x3x3o . x .    24 |  12   24    0   12 |   8   0   6   8   0   12   0   0   0 |   2   0   4   0   0   0   0   4   0   0   0   0 |  * 105   *   *   *   *  *   *   *  * | 1  1  0  0 0
x3x . x3x .    36 |  18   18   18   18 |   6   9   9   0   9    9   0   6   0 |   0   3   3   0   3   0   0   0   3   0   0   0 |  *   * 140   *   *   *  *   *   *  * | 1  0  1  0 0
x3x . . x3o    18 |   9    9    0   18 |   3   0   9   0   0    9   0   0   6 |   0   0   3   0   0   3   0   0   0   3   0   0 |  *   *   * 140   *   *  *   *   *  * | 0  1  1  0 0
x . o3x3x .    24 |  12    0   24   12 |   0  12   6   0   0    0   8   8   0 |   0   0   0   4   4   0   0   0   0   0   2   0 |  *   *   *   * 105   *  *   *   *  * | 1  0  0  1 0
x . . x3x3o    24 |  12    0   12   24 |   0   6  12   0   0    0   0   8   8 |   0   0   0   0   4   4   0   0   0   0   0   2 |  *   *   *   *   * 105  *   *   *  * | 0  0  1  1 0
. x3o3x3x .    60 |   0   60   60   30 |   0   0   0  20  30   30  20  20   0 |   0   0   0   0   0   0   5  10  10   0   5   0 |  *   *   *   *   *   * 42   *   *  * | 1  0  0  0 1
. x3o . x3o     9 |   0    9    0    9 |   0   0   0   3   0    9   0   0   3 |   0   0   0   0   0   0   0   3   0   3   0   0 |  *   *   *   *   *   *  * 140   *  * | 0  1  0  0 1
. x . x3x3o    24 |   0   12   12   24 |   0   0   0   0   6   12   0   8   8 |   0   0   0   0   0   0   0   0   4   4   0   2 |  *   *   *   *   *   *  *   * 105  * | 0  0  1  0 1
. . o3x3x3o    30 |   0    0   30   30 |   0   0   0   0   0    0  10  20  10 |   0   0   0   0   0   0   0   0   0   0   5   5 |  *   *   *   *   *   *  *   *   * 42 | 0  0  0  1 1
------------+------+--------------------+--------------------------------------+-------------------------------------------------+--------------------------------------+-------------
x3x3o3x3x .   360 | 180  360  360  180 | 120 180  90 120 180  180 120 120   0 |  30  60  60  60  60   0  30  60  60   0  30   0 |  6  15  20   0  15   0  6   0   0  0 | 7  *  *  * *
x3x3o . x3o    36 |  18   36    0   36 |  12   0  18  12   0   36   0   0  12 |   3   0  12   0   0   6   0  12   0  12   0   0 |  0   3   0   4   0   0  0   4   0  0 | * 35  *  * *
x3x . x3x3o    72 |  36   36   36   72 |  12  18  36   0  18   36   0  24  24 |   0   6  12   0  12  12   0   0  12  12   0   6 |  0   0   4   4   0   3  0   0   3  0 | *  * 35  * *
x . o3x3x3o    60 |  30    0   60   60 |   0  30  30   0   0    0  20  40  20 |   0   0   0  10  20  10   0   0   0   0  10  10 |  0   0   0   0   5   5  0   0   0  2 | *  *  * 21 *
. x3o3x3x3o   180 |   0  180  180  180 |   0   0   0  60  90  180  60 120  60 |   0   0   0   0   0   0  15  60  60  60  30  30 |  0   0   0   0   0   0  6  20  15  6 | *  *  *  * 7

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