Acronym hatope Name hexagon - truncated-octahedron duoprismatic prism Circumradius sqrt(15)/2 = 1.936492

Incidence matrix according to Dynkin symbol

```x x3x x3x3x

o o3o o3o3o | 288 |   1   1   1   1   1   1 |  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 |  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 |  1  1  1  1  1  1  1  1  1 1 1  1 1 1 1 | 1 1 1 1 1 1
------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------
x . . . . . |   2 | 144   *   *   *   *   * |  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0 |  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0 |  1  1  1  1  1  1  1  1  1 1 0  0 0 0 0 | 1 1 1 1 1 0
. x . . . . |   2 |   * 144   *   *   *   * |  1  0  0  0  0  1  1  1  1  0  0  0  0  0  0 |  1  1  1  1  0  0  0  0  0  0  1  1  1  1  1  1  0  0  0  0 |  1  1  1  1  1  1  0  0  0 0 1  1 1 1 0 | 1 1 1 1 0 1
. . x . . . |   2 |   *   * 144   *   *   * |  0  1  0  0  0  1  0  0  0  1  1  1  0  0  0 |  1  0  0  0  1  1  1  0  0  0  1  1  1  0  0  0  1  1  1  0 |  1  1  1  0  0  0  1  1  1 0 1  1 1 0 1 | 1 1 1 0 1 1
. . . x . . |   2 |   *   *   * 144   *   * |  0  0  1  0  0  0  1  0  0  1  0  0  1  1  0 |  0  1  0  0  1  0  0  1  1  0  1  0  0  1  1  0  1  1  0  1 |  1  0  0  1  1  0  1  1  0 1 1  1 0 1 1 | 1 1 0 1 1 1
. . . . x . |   2 |   *   *   *   * 144   * |  0  0  0  1  0  0  0  1  0  0  1  0  1  0  1 |  0  0  1  0  0  1  0  1  0  1  0  1  0  1  0  1  1  0  1  1 |  0  1  0  1  0  1  1  0  1 1 1  0 1 1 1 | 1 0 1 1 1 1
. . . . . x |   2 |   *   *   *   *   * 144 |  0  0  0  0  1  0  0  0  1  0  0  1  0  1  1 |  0  0  0  1  0  0  1  0  1  1  0  0  1  0  1  1  0  1  1  1 |  0  0  1  0  1  1  0  1  1 1 0  1 1 1 1 | 0 1 1 1 1 1
------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------
x x . . . . |   4 |   2   2   0   0   0   0 | 72  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  1  1  1  1  1  1  0  0  0 0 0  0 0 0 0 | 1 1 1 1 0 0
x . x . . . |   4 |   2   0   2   0   0   0 |  * 72  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  0  0  0  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0 |  1  1  1  0  0  0  1  1  1 0 0  0 0 0 0 | 1 1 1 0 1 0
x . . x . . |   4 |   2   0   0   2   0   0 |  *  * 72  *  *  *  *  *  *  *  *  *  *  *  * |  0  1  0  0  1  0  0  1  1  0  0  0  0  0  0  0  0  0  0  0 |  1  0  0  1  1  0  1  1  0 1 0  0 0 0 0 | 1 1 0 1 1 0
x . . . x . |   4 |   2   0   0   0   2   0 |  *  *  * 72  *  *  *  *  *  *  *  *  *  *  * |  0  0  1  0  0  1  0  1  0  1  0  0  0  0  0  0  0  0  0  0 |  0  1  0  1  0  1  1  0  1 1 0  0 0 0 0 | 1 0 1 1 1 0
x . . . . x |   4 |   2   0   0   0   0   2 |  *  *  *  * 72  *  *  *  *  *  *  *  *  *  * |  0  0  0  1  0  0  1  0  1  1  0  0  0  0  0  0  0  0  0  0 |  0  0  1  0  1  1  0  1  1 1 0  0 0 0 0 | 0 1 1 1 1 0
. x3x . . . |   6 |   0   3   3   0   0   0 |  *  *  *  *  * 48  *  *  *  *  *  *  *  *  * |  1  0  0  0  0  0  0  0  0  0  1  1  1  0  0  0  0  0  0  0 |  1  1  1  0  0  0  0  0  0 0 1  1 1 0 0 | 1 1 1 0 0 1
. x . x . . |   4 |   0   2   0   2   0   0 |  *  *  *  *  *  * 72  *  *  *  *  *  *  *  * |  0  1  0  0  0  0  0  0  0  0  1  0  0  1  1  0  0  0  0  0 |  1  0  0  1  1  0  0  0  0 0 1  1 0 1 0 | 1 1 0 1 0 1
. x . . x . |   4 |   0   2   0   0   2   0 |  *  *  *  *  *  *  * 72  *  *  *  *  *  *  * |  0  0  1  0  0  0  0  0  0  0  0  1  0  1  0  1  0  0  0  0 |  0  1  0  1  0  1  0  0  0 0 1  0 1 1 0 | 1 0 1 1 0 1
. x . . . x |   4 |   0   2   0   0   0   2 |  *  *  *  *  *  *  *  * 72  *  *  *  *  *  * |  0  0  0  1  0  0  0  0  0  0  0  0  1  0  1  1  0  0  0  0 |  0  0  1  0  1  1  0  0  0 0 0  1 1 1 0 | 0 1 1 1 0 1
. . x x . . |   4 |   0   0   2   2   0   0 |  *  *  *  *  *  *  *  *  * 72  *  *  *  *  * |  0  0  0  0  1  0  0  0  0  0  1  0  0  0  0  0  1  1  0  0 |  1  0  0  0  0  0  1  1  0 0 1  1 0 0 1 | 1 1 0 0 1 1
. . x . x . |   4 |   0   0   2   0   2   0 |  *  *  *  *  *  *  *  *  *  * 72  *  *  *  * |  0  0  0  0  0  1  0  0  0  0  0  1  0  0  0  0  1  0  1  0 |  0  1  0  0  0  0  1  0  1 0 1  0 1 0 1 | 1 0 1 0 1 1
. . x . . x |   4 |   0   0   2   0   0   2 |  *  *  *  *  *  *  *  *  *  *  * 72  *  *  * |  0  0  0  0  0  0  1  0  0  0  0  0  1  0  0  0  0  1  1  0 |  0  0  1  0  0  0  0  1  1 0 0  1 1 0 1 | 0 1 1 0 1 1
. . . x3x . |   6 |   0   0   0   3   3   0 |  *  *  *  *  *  *  *  *  *  *  *  * 48  *  * |  0  0  0  0  0  0  0  1  0  0  0  0  0  1  0  0  1  0  0  1 |  0  0  0  1  0  0  1  0  0 1 1  0 0 1 1 | 1 0 0 1 1 1
. . . x . x |   4 |   0   0   0   2   0   2 |  *  *  *  *  *  *  *  *  *  *  *  *  * 72  * |  0  0  0  0  0  0  0  0  1  0  0  0  0  0  1  0  0  1  0  1 |  0  0  0  0  1  0  0  1  0 1 0  1 0 1 1 | 0 1 0 1 1 1
. . . . x3x |   6 |   0   0   0   0   3   3 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48 |  0  0  0  0  0  0  0  0  0  1  0  0  0  0  0  1  0  0  1  1 |  0  0  0  0  0  1  0  0  1 1 0  0 1 1 1 | 0 0 1 1 1 1
------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------
x x3x . . . ♦  12 |   6   6   6   0   0   0 |  3  3  0  0  0  2  0  0  0  0  0  0  0  0  0 | 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  1  1  0  0  0  0  0  0 0 0  0 0 0 0 | 1 1 1 0 0 0
x x . x . . ♦   8 |   4   4   0   4   0   0 |  2  0  2  0  0  0  2  0  0  0  0  0  0  0  0 |  * 36  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  0  0  1  1  0  0  0  0 0 0  0 0 0 0 | 1 1 0 1 0 0
x x . . x . ♦   8 |   4   4   0   0   4   0 |  2  0  0  2  0  0  0  2  0  0  0  0  0  0  0 |  *  * 36  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  1  0  1  0  1  0  0  0 0 0  0 0 0 0 | 1 0 1 1 0 0
x x . . . x ♦   8 |   4   4   0   0   0   4 |  2  0  0  0  2  0  0  0  2  0  0  0  0  0  0 |  *  *  * 36  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  1  0  1  1  0  0  0 0 0  0 0 0 0 | 0 1 1 1 0 0
x . x x . . ♦   8 |   4   0   4   4   0   0 |  0  2  2  0  0  0  0  0  0  2  0  0  0  0  0 |  *  *  *  * 36  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  0  0  0  0  0  1  1  0 0 0  0 0 0 0 | 1 1 0 0 1 0
x . x . x . ♦   8 |   4   0   4   0   4   0 |  0  2  0  2  0  0  0  0  0  0  2  0  0  0  0 |  *  *  *  *  * 36  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  1  0  0  0  0  1  0  1 0 0  0 0 0 0 | 1 0 1 0 1 0
x . x . . x ♦   8 |   4   0   4   0   0   4 |  0  2  0  0  2  0  0  0  0  0  0  2  0  0  0 |  *  *  *  *  *  * 36  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  1  0  0  0  0  1  1 0 0  0 0 0 0 | 0 1 1 0 1 0
x . . x3x . ♦  12 |   6   0   0   6   6   0 |  0  0  3  3  0  0  0  0  0  0  0  0  2  0  0 |  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  0  1  0  0  1  0  0 1 0  0 0 0 0 | 1 0 0 1 1 0
x . . x . x ♦   8 |   4   0   0   4   0   4 |  0  0  2  0  2  0  0  0  0  0  0  0  0  2  0 |  *  *  *  *  *  *  *  * 36  *  *  *  *  *  *  *  *  *  *  * |  0  0  0  0  1  0  0  1  0 1 0  0 0 0 0 | 0 1 0 1 1 0
x . . . x3x ♦  12 |   6   0   0   0   6   6 |  0  0  0  3  3  0  0  0  0  0  0  0  0  0  2 |  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  * |  0  0  0  0  0  1  0  0  1 1 0  0 0 0 0 | 0 0 1 1 1 0
. x3x x . . ♦  12 |   0   6   6   6   0   0 |  0  0  0  0  0  2  3  0  0  3  0  0  0  0  0 |  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  * |  1  0  0  0  0  0  0  0  0 0 1  1 0 0 0 | 1 1 0 0 0 1
. x3x . x . ♦  12 |   0   6   6   0   6   0 |  0  0  0  0  0  2  0  3  0  0  3  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  * |  0  1  0  0  0  0  0  0  0 0 1  0 1 0 0 | 1 0 1 0 0 1
. x3x . . x ♦  12 |   0   6   6   0   0   6 |  0  0  0  0  0  2  0  0  3  0  0  3  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  * |  0  0  1  0  0  0  0  0  0 0 0  1 1 0 0 | 0 1 1 0 0 1
. x . x3x . ♦  12 |   0   6   0   6   6   0 |  0  0  0  0  0  0  3  3  0  0  0  0  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  * |  0  0  0  1  0  0  0  0  0 0 1  0 0 1 0 | 1 0 0 1 0 1
. x . x . x ♦   8 |   0   4   0   4   0   4 |  0  0  0  0  0  0  2  0  2  0  0  0  0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 36  *  *  *  *  * |  0  0  0  0  1  0  0  0  0 0 0  1 0 1 0 | 0 1 0 1 0 1
. x . . x3x ♦  12 |   0   6   0   0   6   6 |  0  0  0  0  0  0  0  3  3  0  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  * |  0  0  0  0  0  1  0  0  0 0 0  0 1 1 0 | 0 0 1 1 0 1
. . x x3x . ♦  12 |   0   0   6   6   6   0 |  0  0  0  0  0  0  0  0  0  3  3  0  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  * |  0  0  0  0  0  0  1  0  0 0 1  0 0 0 1 | 1 0 0 0 1 1
. . x x . x ♦   8 |   0   0   4   4   0   4 |  0  0  0  0  0  0  0  0  0  2  0  2  0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 36  *  * |  0  0  0  0  0  0  0  1  0 0 0  1 0 0 1 | 0 1 0 0 1 1
. . x . x3x ♦  12 |   0   0   6   0   6   6 |  0  0  0  0  0  0  0  0  0  0  3  3  0  0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  * |  0  0  0  0  0  0  0  0  1 0 0  0 1 0 1 | 0 0 1 0 1 1
. . . x3x3x ♦  24 |   0   0   0  12  12  12 |  0  0  0  0  0  0  0  0  0  0  0  0  4  6  4 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 12 |  0  0  0  0  0  0  0  0  0 1 0  0 0 1 1 | 0 0 0 1 1 1
------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------
x x3x x . . ♦  24 |  12  12  12  12   0   0 |  6  6  6  0  0  4  6  0  0  6  0  0  0  0  0 |  2  3  0  0  3  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0 | 12  *  *  *  *  *  *  *  * * *  * * * * | 1 1 0 0 0 0
x x3x . x . ♦  24 |  12  12  12   0  12   0 |  6  6  0  6  0  4  0  6  0  0  6  0  0  0  0 |  2  0  3  0  0  3  0  0  0  0  0  2  0  0  0  0  0  0  0  0 |  * 12  *  *  *  *  *  *  * * *  * * * * | 1 0 1 0 0 0
x x3x . . x ♦  24 |  12  12  12   0   0  12 |  6  6  0  0  6  4  0  0  6  0  0  6  0  0  0 |  2  0  0  3  0  0  3  0  0  0  0  0  2  0  0  0  0  0  0  0 |  *  * 12  *  *  *  *  *  * * *  * * * * | 0 1 1 0 0 0
x x . x3x . ♦  24 |  12  12   0  12  12   0 |  6  0  6  6  0  0  6  6  0  0  0  0  4  0  0 |  0  3  3  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  0 |  *  *  * 12  *  *  *  *  * * *  * * * * | 1 0 0 1 0 0
x x . x . x ♦  16 |   8   8   0   8   0   8 |  4  0  4  0  4  0  4  0  4  0  0  0  0  4  0 |  0  2  0  2  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0 |  *  *  *  * 18  *  *  *  * * *  * * * * | 0 1 0 1 0 0
x x . . x3x ♦  24 |  12  12   0   0  12  12 |  6  0  0  6  6  0  0  6  6  0  0  0  0  0  4 |  0  0  3  3  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0 |  *  *  *  *  * 12  *  *  * * *  * * * * | 0 0 1 1 0 0
x . x x3x . ♦  24 |  12   0  12  12  12   0 |  0  6  6  6  0  0  0  0  0  6  6  0  4  0  0 |  0  0  0  0  3  3  0  2  0  0  0  0  0  0  0  0  2  0  0  0 |  *  *  *  *  *  * 12  *  * * *  * * * * | 1 0 0 0 1 0
x . x x . x ♦  16 |   8   0   8   8   0   8 |  0  4  4  0  4  0  0  0  0  4  0  4  0  4  0 |  0  0  0  0  2  0  2  0  2  0  0  0  0  0  0  0  0  2  0  0 |  *  *  *  *  *  *  * 18  * * *  * * * * | 0 1 0 0 1 0
x . x . x3x ♦  24 |  12   0  12   0  12  12 |  0  6  0  6  6  0  0  0  0  0  6  6  0  0  4 |  0  0  0  0  0  3  3  0  0  2  0  0  0  0  0  0  0  0  2  0 |  *  *  *  *  *  *  *  * 12 * *  * * * * | 0 0 1 0 1 0
x . . x3x3x ♦  48 |  24   0   0  24  24  24 |  0  0 12 12 12  0  0  0  0  0  0  0  8 12  8 |  0  0  0  0  0  0  0  4  6  4  0  0  0  0  0  0  0  0  0  2 |  *  *  *  *  *  *  *  *  * 6 *  * * * * | 0 0 0 1 1 0
. x3x x3x . ♦  36 |   0  18  18  18  18   0 |  0  0  0  0  0  6  9  9  0  9  9  0  6  0  0 |  0  0  0  0  0  0  0  0  0  0  3  3  0  3  0  0  3  0  0  0 |  *  *  *  *  *  *  *  *  * * 8  * * * * | 1 0 0 0 0 1
. x3x x . x ♦  24 |   0  12  12  12   0  12 |  0  0  0  0  0  4  6  0  6  6  0  6  0  6  0 |  0  0  0  0  0  0  0  0  0  0  2  0  2  0  3  0  0  3  0  0 |  *  *  *  *  *  *  *  *  * * * 12 * * * | 0 1 0 0 0 1
. x3x . x3x ♦  36 |   0  18  18   0  18  18 |  0  0  0  0  0  6  0  9  9  0  9  9  0  0  6 |  0  0  0  0  0  0  0  0  0  0  0  3  3  0  0  3  0  0  3  0 |  *  *  *  *  *  *  *  *  * * *  * 8 * * | 0 0 1 0 0 1
. x . x3x3x ♦  48 |   0  24   0  24  24  24 |  0  0  0  0  0  0 12 12 12  0  0  0  8 12  8 |  0  0  0  0  0  0  0  0  0  0  0  0  0  4  6  4  0  0  0  2 |  *  *  *  *  *  *  *  *  * * *  * * 6 * | 0 0 0 1 0 1
. . x x3x3x ♦  48 |   0   0  24  24  24  24 |  0  0  0  0  0  0  0  0  0 12 12 12  8 12  8 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  6  4  2 |  *  *  *  *  *  *  *  *  * * *  * * * 6 | 0 0 0 0 1 1
------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------
x x3x x3x . ♦  72 |  36  36  36  36  36   0 | 18 18 18 18  0 12 18 18  0 18 18  0 12  0  0 |  6  9  9  0  9  9  0  6  0  0  6  6  0  6  0  0  6  0  0  0 |  3  3  0  3  0  0  3  0  0 0 2  0 0 0 0 | 4 * * * * *
x x3x x . x ♦  48 |  24  24  24  24   0  24 | 12 12 12  0 12  8 12  0 12 12  0 12  0 12  0 |  4  6  0  6  6  0  6  0  6  0  4  0  4  0  6  0  0  6  0  0 |  2  0  2  0  3  0  0  3  0 0 0  2 0 0 0 | * 6 * * * *
x x3x . x3x ♦  72 |  36  36  36   0  36  36 | 18 18  0 18 18 12  0 18 18  0 18 18  0  0 12 |  6  0  9  9  0  9  9  0  0  6  0  6  6  0  0  6  0  0  6  0 |  0  3  3  0  0  3  0  0  3 0 0  0 2 0 0 | * * 4 * * *
x x . x3x3x ♦  96 |  48  48   0  48  48  48 | 24  0 24 24 24  0 24 24 24  0  0  0 16 24 16 |  0 12 12 12  0  0  0  8 12  8  0  0  0  8 12  8  0  0  0  4 |  0  0  0  4  6  4  0  0  0 2 0  0 0 2 0 | * * * 3 * *
x . x x3x3x ♦  96 |  48   0  48  48  48  48 |  0 24 24 24 24  0  0  0  0 24 24 24 16 24 16 |  0  0  0  0 12 12 12  8 12  8  0  0  0  0  0  0  8 12  8  4 |  0  0  0  0  0  0  4  6  4 2 0  0 0 0 2 | * * * * 3 *
. x3x x3x3x ♦ 144 |   0  72  72  72  72  72 |  0  0  0  0  0 24 36 36 36 36 36 36 24 36 24 |  0  0  0  0  0  0  0  0  0  0 12 12 12 12 18 12 12 18 12  6 |  0  0  0  0  0  0  0  0  0 0 4  6 4 3 3 | * * * * * 2
```