Acronym hatic (old: hittic)
Name hexagon truncated-cube duoprism
Circumradius sqrt[sqrt(2)+11/4] = 2.040640
Confer n,tic-dip  

Incidence matrix according to Dynkin symbol

x6o o3x4x

. . . . . | 144 |   2   2  1 |  1   4  2  1  2 |  2  1  2  4 1 | 1 2 2
----------+-----+------------+-----------------+---------------+------
x . . . . |   2 | 144   *  * |  1   2  1  0  0 |  2  1  1  2 0 | 1 2 1
. . . x . |   2 |   * 144  * |  0   2  0  1  1 |  1  0  2  2 1 | 1 1 2
. . . . x |   2 |   *   * 72 |  0   0  2  0  2 |  0  1  0  4 1 | 0 2 2
----------+-----+------------+-----------------+---------------+------
x6o . . . |   6 |   6   0  0 | 24   *  *  *  * |  2  1  0  0 0 | 1 2 0
x . . x . |   4 |   2   2  0 |  * 144  *  *  * |  1  0  1  1 0 | 1 1 1
x . . . x |   4 |   2   0  2 |  *   * 72  *  * |  0  1  0  2 0 | 0 2 1
. . o3x . |   3 |   0   3  0 |  *   *  * 48  * |  0  0  2  0 1 | 1 0 2
. . . x4x |   8 |   0   4  4 |  *   *  *  * 36 |  0  0  0  2 1 | 0 1 2
----------+-----+------------+-----------------+---------------+------
x6o . x .   12 |  12   6  0 |  2   6  0  0  0 | 24  *  *  * * | 1 1 0
x6o . . x   12 |  12   0  6 |  2   0  6  0  0 |  * 12  *  * * | 0 2 0
x . o3x .    6 |   3   6  0 |  0   3  0  2  0 |  *  * 48  * * | 1 0 1
x . . x4x   16 |   8   8  8 |  0   4  4  0  2 |  *  *  * 36 * | 0 1 1
. . o3x4x   24 |   0  24 12 |  0   0  0  8  6 |  *  *  *  * 6 | 0 0 2
----------+-----+------------+-----------------+---------------+------
x6o o3x .   18 |  18  18  0 |  3  18  0  6  0 |  3  0  6  0 0 | 8 * *
x6o . x4x   48 |  48  24 24 |  8  24 24  0  6 |  4  4  0  6 0 | * 6 *
x . o3x4x   48 |  24  48 24 |  0  24 12 16 12 |  0  0  8  6 2 | * * 6

x3x o3x4x

. . . . . | 144 |  1  1   2  1 |  1  2  1  2  1  1  2 |  2  1  1  2  1  2 1 | 1 2 1 1
----------+-----+--------------+----------------------+---------------------+--------
x . . . . |   2 | 72  *   *  * |  1  2  1  0  0  0  0 |  2  1  1  2  0  0 0 | 1 2 1 0
. x . . . |   2 |  * 72   *  * |  1  0  0  2  1  0  0 |  2  1  0  0  1  2 0 | 1 2 0 1
. . . x . |   2 |  *  * 144  * |  0  1  0  1  0  1  1 |  1  0  1  1  1  1 1 | 1 1 1 1
. . . . x |   2 |  *  *   * 72 |  0  0  1  0  1  0  2 |  0  1  0  2  0  2 1 | 0 2 1 1
----------+-----+--------------+----------------------+---------------------+--------
x3x . . . |   6 |  3  3   0  0 | 24  *  *  *  *  *  * |  2  1  0  0  0  0 0 | 1 2 0 0
x . . x . |   4 |  2  0   2  0 |  * 72  *  *  *  *  * |  1  0  1  1  0  0 0 | 1 1 1 0
x . . . x |   4 |  2  0   0  2 |  *  * 36  *  *  *  * |  0  1  0  2  0  0 0 | 0 2 1 0
. x . x . |   4 |  0  2   2  0 |  *  *  * 72  *  *  * |  1  0  0  0  1  1 0 | 1 1 0 1
. x . . x |   4 |  0  2   0  2 |  *  *  *  * 36  *  * |  0  1  0  0  0  2 0 | 0 2 0 1
. . o3x . |   3 |  0  0   3  0 |  *  *  *  *  * 48  * |  0  0  1  0  1  0 1 | 1 0 1 1
. . . x4x |   8 |  0  0   4  4 |  *  *  *  *  *  * 36 |  0  0  0  1  0  1 1 | 0 1 1 1
----------+-----+--------------+----------------------+---------------------+--------
x3x . x .   12 |  6  6   6  0 |  2  3  0  3  0  0  0 | 24  *  *  *  *  * * | 1 1 0 0
x3x . . x   12 |  6  6   0  6 |  2  0  3  0  3  0  0 |  * 12  *  *  *  * * | 0 2 0 0
x . o3x .    6 |  3  0   6  0 |  0  3  0  0  0  2  0 |  *  * 24  *  *  * * | 1 0 1 0
x . . x4x   16 |  8  0   8  8 |  0  4  4  0  0  0  2 |  *  *  * 18  *  * * | 0 1 1 0
. x o3x .    6 |  0  3   6  0 |  0  0  0  3  0  2  0 |  *  *  *  * 24  * * | 1 0 0 1
. x . x4x   16 |  0  8   8  8 |  0  0  0  4  4  0  2 |  *  *  *  *  * 18 * | 0 1 0 1
. . o3x4x   24 |  0  0  24 12 |  0  0  0  0  0  8  6 |  *  *  *  *  *  * 6 | 0 0 1 1
----------+-----+--------------+----------------------+---------------------+--------
x3x o3x .   18 |  9  9  18  0 |  3  9  0  9  0  6  0 |  3  0  3  0  3  0 0 | 8 * * *
x3x . x4x   48 | 24 24  24 24 |  8 12 12 12 12  0  6 |  4  4  0  3  0  3 0 | * 6 * *
x . o3x4x   48 | 24  0  48 24 |  0 24 12  0  0 16 12 |  0  0  8  6  0  0 2 | * * 3 *
. x o3x4x   48 |  0 24  48 24 |  0  0  0 24 12 16 12 |  0  0  0  0  8  6 2 | * * * 3

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