Acronym sibpof
Name small biprismated tetradecapeton,
biruncinated heptapeton
Circumradius sqrt(2) = 1.414214
Face vector 210, 1260, 2520, 2100, 716, 84
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

o3x3o3o3x3o

. . . . . . | 210 |   6   6 |   3   6   24   6   3 |   3  12   2  12  12  12   2   3 |  1   6   6   6  4   6   6  1 | 2  3  3 2
------------+-----+---------+----------------------+---------------------------------+------------------------------+----------
. x . . . . |   2 | 630   * |   1   2    4   0   0 |   2   4   1   4   2   2   0   0 |  1   4   2   2  2   2   1  0 | 2  2  1 1
. . . . x . |   2 |   * 630 |   0   0    4   2   1 |   0   2   0   2   4   4   1   2 |  0   1   2   2  2   2   4  1 | 1  1  2 2
------------+-----+---------+----------------------+---------------------------------+------------------------------+----------
o3x . . . . |   3 |   3   0 | 210   *    *   *   * |   2   4   0   0   0   0   0   0 |  1   2   2   2  0   0   0  0 | 2  2  1 0
. x3o . . . |   3 |   3   0 |   * 420    *   *   * |   1   0   1   2   0   0   0   0 |  1   2   0   0  2   1   0  0 | 2  1  0 1
. x . . x . |   4 |   2   2 |   *   * 1260   *   * |   0   1   0   1   1   1   0   0 |  0   1   1   1  1   1   1  0 | 1  1  1 1
. . . o3x . |   3 |   0   3 |   *   *    * 420   * |   0   0   0   0   2   0   1   1 |  0   0   1   0  2   0   2  1 | 1  0  1 2
. . . . x3o |   3 |   0   3 |   *   *    *   * 210 |   0   0   0   0   0   4   0   2 |  0   0   0   2  0   2   4  1 | 0  1  2 2
------------+-----+---------+----------------------+---------------------------------+------------------------------+----------
o3x3o . . .    6 |  12   0 |   4   4    0   0   0 | 105   *   *   *   *   *   *   * |  1   2   0   0  0   0   0  0 | 2  1  0 0
o3x . . x .    6 |   6   3 |   2   0    3   0   0 |   * 420   *   *   *   *   *   * |  0   1   1   1  0   0   0  0 | 1  1  1 0
. x3o3o . .    4 |   6   0 |   0   4    0   0   0 |   *   * 105   *   *   *   *   * |  1   0   0   0  2   0   0  0 | 2  0  0 1
. x3o . x .    6 |   6   3 |   0   2    3   0   0 |   *   *   * 420   *   *   *   * |  0   1   0   0  1   1   0  0 | 1  1  0 1
. x . o3x .    6 |   3   6 |   0   0    3   2   0 |   *   *   *   * 420   *   *   * |  0   0   1   0  1   0   1  0 | 1  0  1 1
. x . . x3o    6 |   3   6 |   0   0    3   0   2 |   *   *   *   *   * 420   *   * |  0   0   0   1  0   1   1  0 | 0  1  1 1
. . o3o3x .    4 |   0   6 |   0   0    0   4   0 |   *   *   *   *   *   * 105   * |  0   0   0   0  2   0   0  1 | 1  0  0 2
. . . o3x3o    6 |   0  12 |   0   0    0   4   4 |   *   *   *   *   *   *   * 105 |  0   0   0   0  0   0   2  1 | 0  0  1 2
------------+-----+---------+----------------------+---------------------------------+------------------------------+----------
o3x3o3o . .   10 |  30   0 |  10  20    0   0   0 |   5   0   5   0   0   0   0   0 | 21   0   0   0  0   0   0  0 | 2  0  0 0
o3x3o . x .   12 |  24   6 |   8   8   12   0   0 |   2   4   0   4   0   0   0   0 |  * 105   *   *  *   *   *  * | 1  1  0 0
o3x . o3x .    9 |   9   9 |   3   0    9   3   0 |   0   3   0   0   3   0   0   0 |  *   * 140   *  *   *   *  * | 1  0  1 0
o3x . . x3o    9 |   9   9 |   3   0    9   0   3 |   0   3   0   0   0   3   0   0 |  *   *   * 140  *   *   *  * | 0  1  1 0
. x3o3o3x .   20 |  30  30 |   0  20   30  20   0 |   0   0   5  10  10   0   5   0 |  *   *   *   * 42   *   *  * | 1  0  0 1
. x3o . x3o    9 |   9   9 |   0   3    9   0   3 |   0   0   0   3   0   3   0   0 |  *   *   *   *  * 140   *  * | 0  1  0 1
. x . o3x3o   12 |   6  24 |   0   0   12   8   8 |   0   0   0   0   4   4   0   2 |  *   *   *   *  *   * 105  * | 0  0  1 1
. . o3o3x3o   10 |   0  30 |   0   0    0  20  10 |   0   0   0   0   0   0   5   5 |  *   *   *   *  *   *   * 21 | 0  0  0 2
------------+-----+---------+----------------------+---------------------------------+------------------------------+----------
o3x3o3o3x .   60 | 180  90 |  60 120  180  60   0 |  30  60  30  60  60   0  15   0 |  6  15  20   0  6   0   0  0 | 7  *  * *
o3x3o . x3o   18 |  36  18 |  12  12   36   0   6 |   3  12   0  12   0  12   0   0 |  0   3   0   4  0   4   0  0 | * 35  * *
o3x . o3x3o   18 |  18  36 |   6   0   36  12  12 |   0  12   0   0  12  12   0   3 |  0   0   4   4  0   0   3  0 | *  * 35 *
. x3o3o3x3o   60 |  90 180 |   0  60  180 120  60 |   0   0  15  60  60  60  30  30 |  0   0   0   0  6  20  15  6 | *  *  * 7
or
. . . . . .    | 210 |   12 |   6  12   24 |   6  24   4  24 |  2  12  12   6  4 |  4  6
---------------+-----+------+--------------+-----------------+-------------------+------
. x . . . .  & |   2 | 1260 |   1   2    4 |   2   6   1   6 |  1   5   4   2  2 |  3  3
---------------+-----+------+--------------+-----------------+-------------------+------
o3x . . . .  & |   3 |    3 | 420   *    * |   2   4   0   0 |  1   4   2   2  0 |  2  3
. x3o . . .  & |   3 |    3 |   * 840    * |   1   0   1   2 |  1   2   1   0  2 |  3  1
. x . . x .    |   4 |    4 |   *   * 1260 |   0   2   0   2 |  0   2   2   1  1 |  2  2
---------------+-----+------+--------------+-----------------+-------------------+------
o3x3o . . .  &    6 |   12 |   4   4    0 | 210   *   *   * |  1   2   0   0  0 |  2  1
o3x . . x .  &    6 |    9 |   2   0    3 |   * 840   *   * |  0   1   1   1  0 |  1  2
. x3o3o . .  &    4 |    6 |   0   4    0 |   *   * 210   * |  1   0   0   0  2 |  3  0
. x3o . x .  &    6 |    9 |   0   2    3 |   *   *   * 840 |  0   1   1   0  1 |  2  1
---------------+-----+------+--------------+-----------------+-------------------+------
o3x3o3o . .  &   10 |   30 |  10  20    0 |   5   0   5   0 | 42   *   *   *  * |  2  0
o3x3o . x .  &   12 |   30 |   8   8   12 |   2   4   0   4 |  * 210   *   *  * |  1  1
o3x . o3x .  &    9 |   18 |   3   3    9 |   0   3   0   3 |  *   * 280   *  * |  1  1
o3x . . x3o       9 |   18 |   6   0    9 |   0   6   0   0 |  *   *   * 140  * |  0  2
. x3o3o3x .      20 |   60 |   0  40   30 |   0   0  10  20 |  *   *   *   * 42 |  2  0
---------------+-----+------+--------------+-----------------+-------------------+------
o3x3o3o3x .  &   60 |  270 |  60 180  180 |  30  60  45 120 |  6  15  20   0  6 | 14  *
o3x3o . x3o  &   18 |   54 |  18  12   36 |   3  24   0  12 |  0   3   4   4  0 |  * 70

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