Acronym hagippid
Name hexagon - great-prismated-pentachoron duoprism
Circumradius sqrt(6) = 2.449490

Incidence matrix according to Dynkin symbol

x3x x3x3x3x

o3o o3o3o3o | 720 |   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 | 360   *   *   *   *   * |   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 |   * 360   *   *   *   * |   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 |   *   * 360   *   *   * |   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 |   *   *   * 360   *   * |   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 |   *   *   *   * 360   * |   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 |   *   *   *   *   * 360 |   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
------------+-----+-------------------------+-------------------------------------------------------------+-------------------------------------------------------------+---------------------------------------------+--------------
x3x . . . . |   6 |   3   3   0   0   0   0 | 120   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  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 |   * 180   *   *   *   *   *   *   *   *   *   *   *   *   * |  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 |   *   * 180   *   *   *   *   *   *   *   *   *   *   *   * |  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 |   *   *   * 180   *   *   *   *   *   *   *   *   *   *   * |  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 |   *   *   *   * 180   *   *   *   *   *   *   *   *   *   * |  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
. x x . . . |   4 |   0   2   2   0   0   0 |   *   *   *   *   * 180   *   *   *   *   *   *   *   *   * |  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 |   *   *   *   *   *   * 180   *   *   *   *   *   *   *   * |  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 |   *   *   *   *   *   *   * 180   *   *   *   *   *   *   * |  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 |   *   *   *   *   *   *   *   * 180   *   *   *   *   *   * |  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
. . x3x . . |   6 |   0   0   3   3   0   0 |   *   *   *   *   *   *   *   *   * 120   *   *   *   *   * |  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 |   *   *   *   *   *   *   *   *   *   * 180   *   *   *   * |  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 |   *   *   *   *   *   *   *   *   *   *   * 180   *   *   * |  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 |   *   *   *   *   *   *   *   *   *   *   *   * 120   *   * |  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 |   *   *   *   *   *   *   *   *   *   *   *   *   * 180   * |  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 |   *   *   *   *   *   *   *   *   *   *   *   *   *   * 120 |  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
------------+-----+-------------------------+-------------------------------------------------------------+-------------------------------------------------------------+---------------------------------------------+--------------
x3x x . . .   12 |   6   6   6   0   0   0 |   2   3   0   0   0   3   0   0   0   0   0   0   0   0   0 | 60  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  1  1  0  0  0  0  0  0  0  0  0  0  0 0 | 1  1  1 0 0 0
x3x . x . .   12 |   6   6   0   6   0   0 |   2   0   3   0   0   0   3   0   0   0   0   0   0   0   0 |  * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  0  0  1  1  0  0  0  0  0  0  0  0  0 0 | 1  1  0 1 0 0
x3x . . x .   12 |   6   6   0   0   6   0 |   2   0   0   3   0   0   0   3   0   0   0   0   0   0   0 |  *  * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  1  0  1  0  1  0  0  0  0  0  0  0  0 0 | 1  0  1 1 0 0
x3x . . . x   12 |   6   6   0   0   0   6 |   2   0   0   0   3   0   0   0   3   0   0   0   0   0   0 |  *  *  * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  1  0  1  1  0  0  0  0  0  0  0  0 0 | 0  1  1 1 0 0
x . x3x . .   12 |   6   0   6   6   0   0 |   0   3   3   0   0   0   0   0   0   2   0   0   0   0   0 |  *  *  *  * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  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 |  *  *  *  *  * 90  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  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 |  *  *  *  *  *  * 90  *  *  *  *  *  *  *  *  *  *  *  *  * |  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 |  *  *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  *  *  *  * |  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 |  *  *  *  *  *  *  *  * 90  *  *  *  *  *  *  *  *  *  *  * |  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 |  *  *  *  *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  *  * |  0  0  0  0  0  1  0  0  1  1  0  0  0  0 0 | 0  0  1 1 1 0
. x x3x . .   12 |   0   6   6   6   0   0 |   0   0   0   0   0   3   3   0   0   2   0   0   0   0   0 |  *  *  *  *  *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  * |  1  0  0  0  0  0  0  0  0  0  1  1  0  0 0 | 1  1  0 0 0 1
. x x . x .    8 |   0   4   4   0   4   0 |   0   0   0   0   0   2   0   2   0   0   2   0   0   0   0 |  *  *  *  *  *  *  *  *  *  *  * 90  *  *  *  *  *  *  *  * |  0  1  0  0  0  0  0  0  0  0  1  0  1  0 0 | 1  0  1 0 0 1
. x x . . x    8 |   0   4   4   0   0   4 |   0   0   0   0   0   2   0   0   2   0   0   2   0   0   0 |  *  *  *  *  *  *  *  *  *  *  *  * 90  *  *  *  *  *  *  * |  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 |  *  *  *  *  *  *  *  *  *  *  *  *  * 60  *  *  *  *  *  * |  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 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 90  *  *  *  *  * |  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 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 60  *  *  *  * |  0  0  0  0  0  1  0  0  0  0  0  0  1  1 0 | 0  0  1 1 0 1
. . x3x3x .   24 |   0   0  12  12  12   0 |   0   0   0   0   0   0   0   0   0   4   6   0   4   0   0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 30  *  *  * |  0  0  0  0  0  0  1  0  0  0  1  0  0  0 1 | 1  0  0 0 1 1
. . x3x . x   12 |   0   0   6   6   0   6 |   0   0   0   0   0   0   0   0   0   2   0   3   0   3   0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 60  *  * |  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 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 60  * |  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 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 30 |  0  0  0  0  0  0  0  0  0  1  0  0  0  1 1 | 0  0  0 1 1 1
------------+-----+-------------------------+-------------------------------------------------------------+-------------------------------------------------------------+---------------------------------------------+--------------
x3x x3x . .   36 |  18  18  18  18   0   0 |   6   9   9   0   0   9   9   0   0   6   0   0   0   0   0 |  3  3  0  0  3  0  0  0  0  0  3  0  0  0  0  0  0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  *  *  * * | 1  1  0 0 0 0
x3x x . x .   24 |  12  12  12   0  12   0 |   4   6   0   6   0   6   0   6   0   0   6   0   0   0   0 |  2  0  2  0  0  3  0  0  0  0  0  3  0  0  0  0  0  0  0  0 |  * 30  *  *  *  *  *  *  *  *  *  *  *  * * | 1  0  1 0 0 0
x3x x . . x   24 |  12  12  12   0   0  12 |   4   6   0   0   6   6   0   0   6   0   0   6   0   0   0 |  2  0  0  2  0  0  3  0  0  0  0  0  3  0  0  0  0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  *  *  * * | 0  1  1 0 0 0
x3x . x3x .   36 |  18  18   0  18  18   0 |   6   0   9   9   0   0   9   9   0   0   0   0   6   0   0 |  0  3  3  0  0  0  0  3  0  0  0  0  0  3  0  0  0  0  0  0 |  *  *  * 20  *  *  *  *  *  *  *  *  *  * * | 1  0  0 1 0 0
x3x . x . x   24 |  12  12   0  12   0  12 |   4   0   6   0   6   0   6   0   6   0   0   0   0   6   0 |  0  2  0  2  0  0  0  0  3  0  0  0  0  0  3  0  0  0  0  0 |  *  *  *  * 30  *  *  *  *  *  *  *  *  * * | 0  1  0 1 0 0
x3x . . x3x   36 |  18  18   0   0  18  18 |   6   0   0   9   9   0   0   9   9   0   0   0   0   0   6 |  0  0  3  3  0  0  0  0  0  3  0  0  0  0  0  3  0  0  0  0 |  *  *  *  *  * 20  *  *  *  *  *  *  *  * * | 0  0  1 1 0 0
x . x3x3x .   48 |  24   0  24  24  24   0 |   0  12  12  12   0   0   0   0   0   8  12   0   8   0   0 |  0  0  0  0  4  6  0  4  0  0  0  0  0  0  0  0  2  0  0  0 |  *  *  *  *  *  * 15  *  *  *  *  *  *  * * | 1  0  0 0 1 0
x . x3x . x   24 |  12   0  12  12   0  12 |   0   6   6   0   6   0   0   0   0   4   0   6   0   6   0 |  0  0  0  0  2  0  3  0  3  0  0  0  0  0  0  0  0  2  0  0 |  *  *  *  *  *  *  * 30  *  *  *  *  *  * * | 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 |  *  *  *  *  *  *  *  * 30  *  *  *  *  * * | 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 |  *  *  *  *  *  *  *  *  * 15  *  *  *  * * | 0  0  0 1 1 0
. x x3x3x .   48 |   0  24  24  24  24   0 |   0   0   0   0   0  12  12  12   0   8  12   0   8   0   0 |  0  0  0  0  0  0  0  0  0  0  4  6  0  4  0  0  2  0  0  0 |  *  *  *  *  *  *  *  *  *  * 15  *  *  * * | 1  0  0 0 0 1
. x x3x . x   24 |   0  12  12  12   0  12 |   0   0   0   0   0   6   6   0   6   4   0   6   0   6   0 |  0  0  0  0  0  0  0  0  0  0  2  0  3  0  3  0  0  2  0  0 |  *  *  *  *  *  *  *  *  *  *  * 30  *  * * | 0  1  0 0 0 1
. x x . x3x   24 |   0  12  12   0  12  12 |   0   0   0   0   0   6   0   6   6   0   6   6   0   0   4 |  0  0  0  0  0  0  0  0  0  0  0  3  3  0  0  2  0  0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  * 30  * * | 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 |  *  *  *  *  *  *  *  *  *  *  *  *  * 15 * | 0  0  0 1 0 1
. . x3x3x3x  120 |   0   0  60  60  60  60 |   0   0   0   0   0   0   0   0   0  20  30  30  20  30  20 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  5 10 10  5 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 6 | 0  0  0 0 1 1
------------+-----+-------------------------+-------------------------------------------------------------+-------------------------------------------------------------+---------------------------------------------+--------------
x3x x3x3x .  144 |  72  72  72  72  72   0 |  24  36  36  36   0  36  36  36   0  24  36   0  24   0   0 | 12 12 12  0 12 18  0 12  0  0 12 18  0 12  0  0  6  0  0  0 |  4  6  0  4  0  0  3  0  0  0  3  0  0  0 0 | 5  *  * * * *
x3x x3x . x   72 |  36  36  36  36   0  36 |  12  18  18   0  18  18  18   0  18  12   0  18   0  18   0 |  6  6  0  6  6  0  9  0  9  0  6  0  9  0  9  0  0  6  0  0 |  2  0  3  0  3  0  0  3  0  0  0  3  0  0 0 | * 10  * * * *
x3x x . x3x   72 |  36  36  36   0  36  36 |  12  18   0  18  18  18   0  18  18   0  18  18   0   0  12 |  6  0  6  6  0  9  9  0  0  6  0  9  9  0  0  6  0  0  6  0 |  0  3  3  0  0  2  0  0  3  0  0  0  3  0 0 | *  * 10 * * *
x3x . x3x3x  144 |  72  72   0  72  72  72 |  24   0  36  36  36   0  36  36  36   0   0   0  24  36  24 |  0 12 12 12  0  0  0 12 18 12  0  0  0 12 18 12  0  0  0  6 |  0  0  0  4  6  4  0  0  0  3  0  0  0  3 0 | *  *  * 5 * *
x . x3x3x3x  240 | 120   0 120 120 120 120 |   0  60  60  60  60   0   0   0   0  40  60  60  40  60  40 |  0  0  0  0 20 30 30 20 30 20  0  0  0  0  0  0 10 20 20 10 |  0  0  0  0  0  0  5 10 10  5  0  0  0  0 2 | *  *  * * 3 *
. x x3x3x3x  240 |   0 120 120 120 120 120 |   0   0   0   0   0  60  60  60  60  40  60  60  40  60  40 |  0  0  0  0  0  0  0  0  0  0 20 30 30 20 30 20 10 20 20 10 |  0  0  0  0  0  0  0  0  0  0  5 10 10  5 2 | *  *  * * * 3

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