Acronym cral (old: scral)
Name cellirhombated heptapeton,
stericantellated heptapeton
Circumradius sqrt(26/7) = 1.927248
Face vector 630, 3150, 5040, 3465, 1050, 105
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

x3o3x3o3x3o

. . . . . . | 630 |   2    4    4 |   1   4    8   2   2    8   2   2 |   2   4   2   8   4   4   1   4   4   4   1 |  1   4   2   2   4   4   2  2   2  2 | 2  2  1  2 1
------------+-----+---------------+-----------------------------------+---------------------------------------------+--------------------------------------+-------------
x . . . . . |   2 | 630    *    * |   1   2    4   0   0    0   0   0 |   2   4   1   4   2   2   0   0   0   0   0 |  1   4   2   2   2   2   1  0   0  0 | 2  2  1  1 0
. . x . . . |   2 |   * 1260    * |   0   1    0   1   1    2   0   0 |   1   0   1   2   0   0   1   2   2   1   0 |  1   2   0   0   2   1   0  2   1  1 | 2  1  0  1 1
. . . . x . |   2 |   *    * 1260 |   0   0    2   0   0    2   1   1 |   0   1   0   2   2   2   0   1   2   2   1 |  0   1   1   1   2   2   2  1   1  2 | 1  1  1  2 1
------------+-----+---------------+-----------------------------------+---------------------------------------------+--------------------------------------+-------------
x3o . . . . |   3 |   3    0    0 | 210   *    *   *   *    *   *   * |   2   4   0   0   0   0   0   0   0   0   0 |  1   4   2   2   0   0   0  0   0  0 | 2  2  1  0 0
x . x . . . |   4 |   2    2    0 |   * 630    *   *   *    *   *   * |   1   0   1   2   0   0   0   0   0   0   0 |  1   2   0   0   2   1   0  0   0  0 | 2  1  0  1 0
x . . . x . |   4 |   2    0    2 |   *   * 1260   *   *    *   *   * |   0   1   0   1   1   1   0   0   0   0   0 |  0   1   1   1   1   1   1  0   0  0 | 1  1  1  1 0
. o3x . . . |   3 |   0    3    0 |   *   *    * 420   *    *   *   * |   1   0   0   0   0   0   1   2   0   0   0 |  1   2   0   0   0   0   0  2   1  0 | 2  1  0  0 1
. . x3o . . |   3 |   0    3    0 |   *   *    *   * 420    *   *   * |   0   0   1   0   0   0   1   0   2   0   0 |  1   0   0   0   2   0   0  2   0  1 | 2  0  0  1 1
. . x . x . |   4 |   0    2    2 |   *   *    *   *   * 1260   *   * |   0   0   0   1   0   0   0   1   1   1   0 |  0   1   0   0   1   1   0  1   1  1 | 1  1  0  1 1
. . . o3x . |   3 |   0    0    3 |   *   *    *   *   *    * 420   * |   0   0   0   0   2   0   0   0   2   0   1 |  0   0   1   0   2   0   2  1   0  2 | 1  0  1  2 0
. . . . x3o |   3 |   0    0    3 |   *   *    *   *   *    *   * 420 |   0   0   0   0   0   2   0   0   0   2   1 |  0   0   0   1   0   2   2  0   1  2 | 0  1  1  2 1
------------+-----+---------------+-----------------------------------+---------------------------------------------+--------------------------------------+-------------
x3o3x . . .   12 |  12   12    0 |   4   6    0   4   0    0   0   0 | 105   *   *   *   *   *   *   *   *   *   * |  1   2   0   0   0   0   0  0   0  0 | 2  1  0  0 0
x3o . . x .    6 |   6    0    3 |   2   0    3   0   0    0   0   0 |   * 420   *   *   *   *   *   *   *   *   * |  0   1   1   1   0   0   0  0   0  0 | 1  1  1  0 0
x . x3o . .    6 |   3    6    0 |   0   3    0   0   2    0   0   0 |   *   * 210   *   *   *   *   *   *   *   * |  1   0   0   0   2   0   0  0   0  0 | 2  0  0  1 0
x . x . x .    8 |   4    4    4 |   0   2    2   0   0    2   0   0 |   *   *   * 630   *   *   *   *   *   *   * |  0   1   0   0   1   1   0  0   0  0 | 1  1  0  1 0
x . . o3x .    6 |   3    0    6 |   0   0    3   0   0    0   2   0 |   *   *   *   * 420   *   *   *   *   *   * |  0   0   1   0   1   0   1  0   0  0 | 1  0  1  1 0
x . . . x3o    6 |   3    0    6 |   0   0    3   0   0    0   0   2 |   *   *   *   *   * 420   *   *   *   *   * |  0   0   0   1   0   1   1  0   0  0 | 0  1  1  1 0
. o3x3o . .    6 |   0   12    0 |   0   0    0   4   4    0   0   0 |   *   *   *   *   *   * 105   *   *   *   * |  1   0   0   0   0   0   0  2   0  0 | 2  0  0  0 1
. o3x . x .    6 |   0    6    3 |   0   0    0   2   0    3   0   0 |   *   *   *   *   *   *   * 420   *   *   * |  0   1   0   0   0   0   0  1   1  0 | 1  1  0  0 1
. . x3o3x .   12 |   0   12   12 |   0   0    0   0   4    6   4   0 |   *   *   *   *   *   *   *   * 210   *   * |  0   0   0   0   1   0   0  1   0  1 | 1  0  0  1 1
. . x . x3o    6 |   0    3    6 |   0   0    0   0   0    3   0   2 |   *   *   *   *   *   *   *   *   * 420   * |  0   0   0   0   0   1   0  0   1  1 | 0  1  0  1 1
. . . o3x3o    6 |   0    0   12 |   0   0    0   0   0    0   4   4 |   *   *   *   *   *   *   *   *   *   * 105 |  0   0   0   0   0   0   2  0   0  2 | 0  0  1  2 1
------------+-----+---------------+-----------------------------------+---------------------------------------------+--------------------------------------+-------------
x3o3x3o . .   30 |  30   60    0 |  10  30    0  20  20    0   0   0 |   5   0  10   0   0   0   5   0   0   0   0 | 21   *   *   *   *   *   *  *   *  * | 2  0  0  0 0
x3o3x . x .   24 |  24   24   12 |   8  12   12   8   0   12   0   0 |   2   4   0   6   0   0   0   4   0   0   0 |  * 105   *   *   *   *   *  *   *  * | 1  1  0  0 0
x3o . o3x .    9 |   9    0    9 |   3   0    9   0   0    0   3   0 |   0   3   0   0   3   0   0   0   0   0   0 |  *   * 140   *   *   *   *  *   *  * | 1  0  1  0 0
x3o . . x3o    9 |   9    0    9 |   3   0    9   0   0    0   0   3 |   0   3   0   0   0   3   0   0   0   0   0 |  *   *   * 140   *   *   *  *   *  * | 0  1  1  0 0
x . x3o3x .   24 |  12   24   24 |   0  12   12   0   8   12   8   0 |   0   0   4   6   4   0   0   0   2   0   0 |  *   *   *   * 105   *   *  *   *  * | 1  0  0  1 0
x . x . x3o   12 |   6    6   12 |   0   3    6   0   0    6   0   4 |   0   0   0   3   0   2   0   0   0   2   0 |  *   *   *   *   * 210   *  *   *  * | 0  1  0  1 0
x . . o3x3o   12 |   6    0   24 |   0   0   12   0   0    0   8   8 |   0   0   0   0   4   4   0   0   0   0   2 |  *   *   *   *   *   * 105  *   *  * | 0  0  1  1 0
. o3x3o3x .   30 |   0   60   30 |   0   0    0  20  20   30  10   0 |   0   0   0   0   0   0   5  10   5   0   0 |  *   *   *   *   *   *   * 42   *  * | 1  0  0  0 1
. o3x . x3o    9 |   0    9    9 |   0   0    0   3   0    9   0   3 |   0   0   0   0   0   0   0   3   0   3   0 |  *   *   *   *   *   *   *  * 140  * | 0  1  0  0 1
. . x3o3x3o   30 |   0   30   60 |   0   0    0   0  10   30  20  20 |   0   0   0   0   0   0   0   0   5  10   5 |  *   *   *   *   *   *   *  *   * 42 | 0  0  0  1 1
------------+-----+---------------+-----------------------------------+---------------------------------------------+--------------------------------------+-------------
x3o3x3o3x .  180 | 180  360  180 |  60 180  180 120 120  180  60   0 |  30  60  60  90  60   0  30  60  30   0   0 |  6  15  20   0  15   0   0  6   0  0 | 7  *  *  * *
x3o3x . x3o   36 |  36   36   36 |  12  18   36  12   0   36   0  12 |   3  12   0  18   0  12   0  12   0  12   0 |  0   3   0   4   0   6   0  0   4  0 | * 35  *  * *
x3o . o3x3o   18 |  18    0   36 |   6   0   36   0   0    0  12  12 |   0  12   0   0  12  12   0   0   0   0   3 |  0   0   4   4   0   0   3  0   0  0 | *  * 35  * *
x . x3o3x3o   60 |  30   60  120 |   0  30   60   0  20   60  40  40 |   0   0  10  30  20  20   0   0  10  20  10 |  0   0   0   0   5  10   5  0   0  2 | *  *  * 21 *
. o3x3o3x3o   90 |   0  180  180 |   0   0    0  60  60  180  60  60 |   0   0   0   0   0   0  15  60  30  60  15 |  0   0   0   0   0   0   0  6  20  6 | *  *  *  * 7

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