Acronym squoc
Name square - octaexon duoprism,
vertex figure of brade
Circumradius sqrt(15)/4 = 0.968246
Volume 1/20160 = 0.000049603
Face vector 32, 144, 344, 532, 560, 406, 200, 64, 12
Confer
general polytopal classes:
Wythoffian polyyotta   segmentoyotta  

Incidence matrix according to Dynkin symbol

x4o x3o3o3o3o3o3o

o4o o3o3o3o3o3o3o | 32 |  2   7 | 1  14  21 |  7  42  35 | 21  70  35 | 35  70  21 | 35  42  7 | 21 14 1 | 7 2
------------------+----+--------+-----------+------------+------------+------------+-----------+---------+----
x . . . . . . . . |  2 | 32   * | 1   7   0 |  7  21   0 | 21  35   0 | 35  35   0 | 35  21  0 | 21  7 0 | 7 1
. . x . . . . . . |  2 |  * 112 | 0   2   6 |  1  12  15 |  6  30  20 | 15  40  15 | 20  30  6 | 15 12 1 | 6 2
------------------+----+--------+-----------+------------+------------+------------+-----------+---------+----
x4o . . . . . . . |  4 |  4   0 | 8   *   *   7   0   0 | 21   0   0 | 35   0   0 | 35   0  0 | 21  0 0 | 7 0
x . x . . . . . . |  4 |  2   2 | * 112   * |  1   6   0 |  6  15   0 | 15  20   0 | 20  15  0 | 15  6 0 | 6 1
. . x3o . . . . . |  3 |  0   3 | *   * 224 |  0   2   5 |  1  10  10 |  5  20  10 | 10  20  5 | 10 10 1 | 5 2
------------------+----+--------+-----------+------------+------------+------------+-----------+---------+----
x4o x . . . . . .   8 |  8   4 | 2   4   0 | 28   *   *   6   0   0 | 15   0   0 | 20   0  0 | 15  0 0 | 6 0
x . x3o . . . . .   6 |  3   6 | 0   3   2 |  * 224   * |  1   5   0 |  5  10   0 | 10  10  0 | 10  5 0 | 5 1
. . x3o3o . . . .   4 |  0   6 | 0   0   4 |  *   * 280 |  0   2   4 |  1   8   6 |  4  12  4 |  6  8 1 | 4 2
------------------+----+--------+-----------+------------+------------+------------+-----------+---------+----
x4o x3o . . . . .  12 | 12  12 | 3  12   4 |  3   4   0 | 56   *   *   5   0   0 | 10   0  0 | 10  0 0 | 5 0
x . x3o3o . . . .   8 |  4  12 | 0   6   8 |  0   4   2 |  * 280   * |  1   4   0 |  4   6  0 |  6  4 0 | 4 1
. . x3o3o3o . . .   5 |  0  10 | 0   0  10 |  0   0   5 |  *   * 224 |  0   2   3 |  1   6  3 |  3  6 1 | 3 2
------------------+----+--------+-----------+------------+------------+------------+-----------+---------+----
x4o x3o3o . . . .  16 | 16  24 | 4  24  16 |  6  16   4 |  4   4   0 | 70   *   *   4   0  0 |  6  0 0 | 4 0
x . x3o3o3o . . .  10 |  5  20 | 0  10  20 |  0  10  10 |  0   5   2 |  * 224   * |  1   3  0 |  3  3 0 | 3 1
. . x3o3o3o3o . .   6 |  0  15 | 0   0  20 |  0   0  15 |  0   0   6 |  *   * 112 |  0   2  2 |  1  4 1 | 2 2
------------------+----+--------+-----------+------------+------------+------------+-----------+---------+----
x4o x3o3o3o . . .  20 | 20  40 | 5  40  40 | 10  40  20 | 10  20   4 |  5   4   0 | 56   *  * |  3  0 0 | 3 0
x . x3o3o3o3o . .  12 |  6  30 | 0  15  40 |  0  20  30 |  0  15  12 |  0   6   2 |  * 112  * |  1  2 0 | 2 1
. . x3o3o3o3o3o .   7 |  0  21 | 0   0  35 |  0   0  35 |  0   0  21 |  0   0   7 |  *   * 32 |  0  2 1 | 1 2
------------------+----+--------+-----------+------------+------------+------------+-----------+---------+----
x4o x3o3o3o3o . .  24 | 24  60 | 6  60  80 | 15  80  60 | 20  60  24 | 15  24   4 |  6   4  0 | 28  * * | 2 0
x . x3o3o3o3o3o .  14 |  7  42 | 0  21  70 |  0  35  70 |  0  35  42 |  0  21  14 |  0   7  2 |  * 32 * | 1 1
. . x3o3o3o3o3o3o   8 |  0  28 | 0   0  56 |  0   0  70 |  0   0  56 |  0   0  28 |  0   0  8 |  *  * 4 | 0 2
------------------+----+--------+-----------+------------+------------+------------+-----------+---------+----
x4o x3o3o3o3o3o .  28 | 28  84 | 7  84 140 | 21 140 140 | 35 140  84 | 35  84  28 | 21  28  4 |  7  4 0 | 8 *
x . x3o3o3o3o3o3o  16 |  8  56 | 0  28 112 |  0  56 140 |  0  70 112 |  0  56  56 |  0  28 16 |  0  8 2 | * 4

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