Acronym	sabro
Name	small birhombated octaexon, bicantellated octaexon
Circumradius	sqrt(11)/2 = 1.658312
Face vector	420, 2520, 4480, 3850, 1960, 560, 72
Confer	general polytopal classes: Wythoffian polyexa
External links

Incidence matrix according to Dynkin symbol

o3x3o3x3o3o3o

. . . . . . . | 420 |   4    8 |   2   2   16   4   12 |  1   8   8   24   6   8 |  4  12  12  16   4   2 |  6   8  8   4  1 | 3  2 2
--------------+-----+----------+-----------------------+-------------------------+------------------------+------------------+-------
. x . . . . . |   2 | 840    * |   1   1    4   0    0 |  1   4   4    6   0   0 |  4   6   6   4   0   0 |  6   4  4   1  0 | 4  1 1
. . . x . . . |   2 |   * 1680 |   0   0    2   1    3 |  0   1   2    6   3   3 |  1   3   6   6   3   1 |  3   3  6   2  1 | 3  1 2
--------------+-----+----------+-----------------------+-------------------------+------------------------+------------------+-------
o3x . . . . . |   3 |   3    0 | 280   *    *   *    * |  1   4   0    0   0   0 |  4   6   0   0   0   0 |  6   4  0   0  0 | 4  1 0
. x3o . . . . |   3 |   3    0 |   * 280    *   *    * |  1   0   4    0   0   0 |  4   0   6   0   0   0 |  6   0  4   0  0 | 4  0 1
. x . x . . . |   4 |   2    2 |   *   * 1680   *    * |  0   1   1    3   0   0 |  1   3   3   3   0   0 |  3   3  3   1  0 | 3  1 1
. . o3x . . . |   3 |   0    3 |   *   *    * 560    * |  0   0   2    0   3   0 |  1   0   6   0   3   0 |  3   0  6   0  1 | 3  0 2
. . . x3o . . |   3 |   0    3 |   *   *    *   * 1680 |  0   0   0    2   1   2 |  0   1   2   4   2   1 |  1   2  4   2  1 | 2  1 2
--------------+-----+----------+-----------------------+-------------------------+------------------------+------------------+-------
o3x3o . . . . ♦   6 |  12    0 |   4   4    0   0    0 | 70   *   *    *   *   * ♦  4   0   0   0   0   0 |  6   0  0   0  0 | 4  0 0
o3x . x . . . ♦   6 |   6    3 |   2   0    3   0    0 |  * 560   *    *   *   * |  1   3   0   0   0   0 |  3   3  0   0  0 | 3  1 0
. x3o3x . . . ♦  12 |  12   12 |   0   4    6   4    0 |  *   * 280    *   *   * |  1   0   3   0   0   0 |  3   0  3   0  0 | 3  0 1
. x . x3o . . ♦   6 |   3    6 |   0   0    3   0    2 |  *   *   * 1680   *   * |  0   1   1   2   0   0 |  1   2  2   1  0 | 2  1 1
. . o3x3o . . ♦   6 |   0   12 |   0   0    0   4    4 |  *   *   *    * 420   * |  0   0   2   0   2   0 |  1   0  4   0  1 | 2  0 2
. . . x3o3o . ♦   4 |   0    6 |   0   0    0   0    4 |  *   *   *    *   * 840 |  0   0   0   2   1   1 |  0   1  2   2  1 | 1  1 2
--------------+-----+----------+-----------------------+-------------------------+------------------------+------------------+-------
o3x3o3x . . . ♦  30 |  60   30 |  20  20   30  10    0 |  5  10   5    0   0   0 | 56   *   *   *   *   * |  3   0  0   0  0 | 3  0 0
o3x . x3o . . ♦   9 |   9    9 |   3   0    9   0    3 |  0   3   0    3   0   0 |  * 560   *   *   *   * |  1   2  0   0  0 | 2  1 0
. x3o3x3o . . ♦  30 |  30   60 |   0  10   30  20   20 |  0   0   5   10   5   0 |  *   * 168   *   *   * |  1   0  2   0  0 | 2  0 1
. x . x3o3o . ♦   8 |   4   12 |   0   0    6   0    8 |  0   0   0    4   0   2 |  *   *   * 840   *   * |  0   1  1   1  0 | 1  1 1
. . o3x3o3o . ♦  10 |   0   30 |   0   0    0  10   20 |  0   0   0    0   5   5 |  *   *   *   * 168   * |  0   0  2   0  1 | 1  0 2
. . . x3o3o3o ♦   5 |   0   10 |   0   0    0   0   10 |  0   0   0    0   0   5 |  *   *   *   *   * 168 |  0   0  0   2  1 | 0  1 2
--------------+-----+----------+-----------------------+-------------------------+------------------------+------------------+-------
o3x3o3x3o . . ♦  90 | 180  180 |  60  60  180  60   60 | 15  60  30   60  15   0 |  6  20   6   0   0   0 | 28   *  *   *  * | 2  0 0
o3x . x3o3o . ♦  12 |  12   18 |   4   0   18   0   12 |  0   6   0   12   0   3 |  0   4   0   3   0   0 |  * 280  *   *  * | 1  1 0
. x3o3x3o3o . ♦  60 |  60  180 |   0  20   90  60  120 |  0   0  15   60  30  30 |  0   0   6  15   6   0 |  *   * 56   *  * | 1  0 1
. x . x3o3o3o ♦  10 |   5   20 |   0   0   10   0   20 |  0   0   0   10   0  10 |  0   0   0   5   0   2 |  *   *  * 168  * | 0  1 1
. . o3x3o3o3o ♦  15 |   0   60 |   0   0    0  20   60 |  0   0   0    0  15  30 |  0   0   0   0   6   6 |  *   *  *   * 28 | 0  0 2
--------------+-----+----------+-----------------------+-------------------------+------------------------+------------------+-------
o3x3o3x3o3o . ♦ 210 | 420  630 | 140 140  630 210  420 | 35 210 105  420 105 105 | 21 140  42 105  21   0 |  7  35  7   0  0 | 8  * *
o3x . x3o3o3o ♦  15 |  15   30 |   5   0   30   0   30 |  0  10   0   30   0  15 |  0  10   0  15   0   3 |  0   5  0   3  0 | * 56 *
. x3o3x3o3o3o ♦ 105 | 105  420 |   0  35  210 140  420 |  0   0  35  210 105 210 |  0   0  21 105  42  42 |  0   0  7  21  7 | *  * 8