Acronym sco
Name small cellated octaexon,
stericated octaexon
Circumradius sqrt(7)/2 = 1.322876
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Incidence matrix according to Dynkin symbol

x3o3o3o3x3o3o

. . . . . . . | 280 |   4   12 |   6   36   18   12 |   4   36   36   36  12  18   4 |  1  12  18   36  12  36  12   2  12   6 |  3  12  18  12  12  12  3  4 | 3  4  6  4 1
--------------+-----+----------+--------------------+--------------------------------+-----------------------------------------+------------------------------+-------------
x . . . . . . |   2 | 560    * |   3    9    0    0 |   3   18    9    9   0   0   0 |  1   9   9   18   3   9   3   0   0   0 |  3   9   9   6   3   3  0  0 | 3  3  3  1 0
. . . . x . . |   2 |   * 1680 |   0    3    3    2 |   0    3    6    6   3   6   1 |  0   1   3    6   3  12   3   1   6   3 |  1   2   6   3   6   6  2  3 | 2  1  3  3 1
--------------+-----+----------+--------------------+--------------------------------+-----------------------------------------+------------------------------+-------------
x3o . . . . . |   3 |   3    0 | 560    *    *    * |   2    6    0    0   0   0   0 |  1   6   3    6   0   0   0   0   0   0 |  3   6   3   2   0   0  0  0 | 3  2  1  0 0
x . . . x . . |   4 |   2    2 |   * 2520    *    * |   0    2    2    2   0   0   0 |  0   1   2    4   1   4   1   0   0   0 |  1   2   4   2   2   2  0  0 | 2  1  2  1 0
. . . o3x . . |   3 |   0    3 |   *    * 1680    * |   0    0    2    0   2   2   0 |  0   0   1    0   2   4   0   1   4   1 |  1   0   2   0   4   2  2  2 | 2  0  1  2 1
. . . . x3o . |   3 |   0    3 |   *    *    * 1120 |   0    0    0    3   0   3   1 |  0   0   0    3   0   6   3   0   3   3 |  0   1   3   3   3   6  1  3 | 1  1  3  3 1
--------------+-----+----------+--------------------+--------------------------------+-----------------------------------------+------------------------------+-------------
x3o3o . . . .    4 |   6    0 |   4    0    0    0 | 280    *    *    *   *   *   * |  1   3   0    0   0   0   0   0   0   0 |  3   3   0   0   0   0  0  0 | 3  1  0  0 0
x3o . . x . .    6 |   6    3 |   2    3    0    0 |   * 1680    *    *   *   *   * |  0   1   1    2   0   0   0   0   0   0 |  1   2   2   1   0   0  0  0 | 2  1  1  0 0
x . . o3x . .    6 |   3    6 |   0    3    2    0 |   *    * 1680    *   *   *   * |  0   0   1    0   1   2   0   0   0   0 |  1   0   2   0   2   1  0  0 | 2  0  1  1 0
x . . . x3o .    6 |   3    6 |   0    3    0    2 |   *    *    * 1680   *   *   * |  0   0   0    2   0   2   1   0   0   0 |  0   1   2   2   1   2  0  0 | 1  1  2  1 0
. . o3o3x . .    4 |   0    6 |   0    0    4    0 |   *    *    *    * 840   *   * |  0   0   0    0   1   0   0   1   2   0 |  1   0   0   0   2   0  2  1 | 2  0  0  1 1
. . . o3x3o .    6 |   0   12 |   0    0    4    4 |   *    *    *    *   * 840   * |  0   0   0    0   0   2   0   0   2   1 |  0   0   1   0   2   2  1  2 | 1  0  1  2 1
. . . . x3o3o    4 |   0    6 |   0    0    0    4 |   *    *    *    *   *   * 280 |  0   0   0    0   0   0   3   0   0   3 |  0   0   0   3   0   6  0  3 | 0  1  3  3 1
--------------+-----+----------+--------------------+--------------------------------+-----------------------------------------+------------------------------+-------------
x3o3o3o . . .    5 |  10    0 |  10    0    0    0 |   5    0    0    0   0   0   0 | 56   *   *    *   *   *   *   *   *   * |  3   0   0   0   0   0  0  0 | 3  0  0  0 0
x3o3o . x . .    8 |  12    4 |   8    6    0    0 |   2    4    0    0   0   0   0 |  * 420   *    *   *   *   *   *   *   * |  1   2   0   0   0   0  0  0 | 2  1  0  0 0
x3o . o3x . .    9 |   9    9 |   3    9    3    0 |   0    3    3    0   0   0   0 |  *   * 560    *   *   *   *   *   *   * |  1   0   2   0   0   0  0  0 | 2  0  1  0 0
x3o . . x3o .    9 |   9    9 |   3    9    0    3 |   0    3    0    3   0   0   0 |  *   *   * 1120   *   *   *   *   *   * |  0   1   1   1   0   0  0  0 | 1  1  1  0 0
x . o3o3x . .    8 |   4   12 |   0    6    8    0 |   0    0    4    0   2   0   0 |  *   *   *    * 420   *   *   *   *   * |  1   0   0   0   2   0  0  0 | 2  0  0  1 0
x . . o3x3o .   12 |   6   24 |   0   12    8    8 |   0    0    4    4   0   2   0 |  *   *   *    *   * 840   *   *   *   * |  0   0   1   0   1   1  0  0 | 1  0  1  1 0
x . . . x3o3o    8 |   4   12 |   0    6    0    8 |   0    0    0    4   0   0   2 |  *   *   *    *   *   * 420   *   *   * |  0   0   0   2   0   2  0  0 | 0  1  2  1 0
. o3o3o3x . .    5 |   0   10 |   0    0   10    0 |   0    0    0    0   5   0   0 |  *   *   *    *   *   *   * 168   *   * |  1   0   0   0   0   0  2  0 | 2  0  0  0 1
. . o3o3x3o .   10 |   0   30 |   0    0   20   10 |   0    0    0    0   5   5   0 |  *   *   *    *   *   *   *   * 336   * |  0   0   0   0   1   0  1  1 | 1  0  0  1 1
. . . o3x3o3o   10 |   0   30 |   0    0   10   20 |   0    0    0    0   0   5   5 |  *   *   *    *   *   *   *   *   * 168 |  0   0   0   0   0   2  0  2 | 0  0  1  2 1
--------------+-----+----------+--------------------+--------------------------------+-----------------------------------------+------------------------------+-------------
x3o3o3o3x . .   30 |  60   60 |  60   90   60    0 |  30   60   60    0  30   0   0 |  6  15  20    0  15   0   0   6   0   0 | 28   *   *   *   *   *  *  * | 2  0  0  0 0
x3o3o . x3o .   12 |  18   12 |  12   18    0    4 |   3   12    0    6   0   0   0 |  0   3   0    4   0   0   0   0   0   0 |  * 280   *   *   *   *  *  * | 1  1  0  0 0
x3o . o3x3o .   18 |  18   36 |   6   36   12   12 |   0   12   12   12   0   3   0 |  0   0   4    4   0   3   0   0   0   0 |  *   * 280   *   *   *  *  * | 1  0  1  0 0
x3o . . x3o3o   12 |  12   18 |   4   18    0   12 |   0    6    0   12   0   0   3 |  0   0   0    4   0   0   3   0   0   0 |  *   *   * 280   *   *  *  * | 0  1  1  0 0
x . o3o3x3o .   20 |  10   60 |   0   30   40   20 |   0    0   20   10  10  10   0 |  0   0   0    0   5   5   0   0   2   0 |  *   *   *   * 168   *  *  * | 1  0  0  1 0
x . . o3x3o3o   20 |  10   60 |   0   30   20   40 |   0    0   10   20   0  10  10 |  0   0   0    0   0   5   5   0   0   2 |  *   *   *   *   * 168  *  * | 0  0  1  1 0
. o3o3o3x3o .   15 |   0   60 |   0    0   60   20 |   0    0    0    0  30  15   0 |  0   0   0    0   0   0   0   6   6   0 |  *   *   *   *   *   * 56  * | 1  0  0  0 1
. . o3o3x3o3o   20 |   0   90 |   0    0   60   60 |   0    0    0    0  15  30  15 |  0   0   0    0   0   0   0   0   6   6 |  *   *   *   *   *   *  * 56 | 0  0  0  1 1
--------------+-----+----------+--------------------+--------------------------------+-----------------------------------------+------------------------------+-------------
x3o3o3o3x3o .  105 | 210  420 | 210  630  420  140 | 105  420  420  210 210 105   0 | 21 105 140  140 105 105   0  42  42   0 |  7  35  35   0  21   0  7  0 | 8  *  *  * *
x3o3o . x3o3o   16 |  24   24 |  16   36    0   16 |   4   24    0   24   0   0   4 |  0   6   0   16   0   0   6   0   0   0 |  0   4   0   4   0   0  0  0 | * 70  *  * *
x3o . o3x3o3o   30 |  30   90 |  10   90   30   60 |   0   30   30   60   0  15  15 |  0   0  10   20   0  15  15   0   0   3 |  0   0   5   5   0   3  0  0 | *  * 56  * *
x . o3o3x3o3o   40 |  20  180 |   0   90  120  120 |   0    0   60   60  30  60  30 |  0   0   0    0  15  30  15   0  12  12 |  0   0   0   0   6   6  0  2 | *  *  * 28 *
. o3o3o3x3o3o   35 |   0  210 |   0    0  210  140 |   0    0    0    0 105 105  35 |  0   0   0    0   0   0   0  21  42  21 |  0   0   0   0   0   0  7  7 | *  *  *  * 8

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