Acronym tutdip
Name truncated-tetrahedron duoprism
Circumradius sqrt(11)/2 = 1.658312
Volume 529/72 = 7.347222
Face vector 144, 432, 516, 312, 100, 16
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  

Incidence matrix according to Dynkin symbol

x3x3o x3x3o

. . . . . .    | 144 |   2   4 |  4  1   4  2   4 |  2  4  8  2  4 |  2  4  4  4  1 | 4 2
---------------+-----+---------+------------------+----------------+----------------+----
x . . . . .  & |   2 | 144   * |  2  1   2  0   0 |  1  4  4  1  0 |  2  2  4  2  0 | 4 1
. x . . . .  & |   2 |   * 288 |  1  0   1  1   2 |  1  1  4  1  3 |  1  3  2  3  1 | 3 2
---------------+-----+---------+------------------+----------------+----------------+----
x3x . . . .  & |   6 |   3   3 | 96  *   *  *   * |  1  1  2  0  0 |  1  2  2  1  0 | 3 1
x . . x . .    |   4 |   4   0 |  * 36   *  *   * |  0  4  0  0  0 |  2  0  4  0  0 | 4 0
x . . . x .  & |   4 |   2   2 |  *  * 144  *   * |  0  1  2  1  0 |  1  1  2  2  0 | 3 1
. x3o . . .  & |   3 |   0   3 |  *  *   * 96   * |  1  0  0  1  2 |  1  2  0  2  1 | 2 2
. x . . x .    |   4 |   0   4 |  *  *   *  * 144 |  0  0  2  0  2 |  0  2  1  2  1 | 2 2
---------------+-----+---------+------------------+----------------+----------------+----
x3x3o . . .  &   12 |   6  12 |  4  0   0  4   0 | 24  *  *  *  * |  1  2  0  0  0 | 2 1
x3x . x . .  &   12 |  12   6 |  2  3   3  0   0 |  * 48  *  *  * |  1  0  2  0  0 | 3 0
x3x . . x .  &   12 |   6  12 |  2  0   3  0   3 |  *  * 96  *  * |  0  1  1  1  0 | 2 1
x . . . x3o  &    6 |   3   6 |  0  0   3  2   0 |  *  *  * 48  * |  1  0  0  2  0 | 2 1
. x . . x3o  &    6 |   0   9 |  0  0   0  2   3 |  *  *  *  * 96 |  0  1  0  1  1 | 1 2
---------------+-----+---------+------------------+----------------+----------------+----
x3x3o x . .  &   24 |  24  24 |  8  6  12  8   0 |  2  4  0  4  0 | 12  *  *  *  * | 2 0
x3x3o . x .  &   24 |  12  36 |  8  0   6  8  12 |  2  0  4  0  4 |  * 24  *  *  * | 1 1
x3x . x3x .      36 |  36  36 | 12  9  18  0   9 |  0  6  6  0  0 |  *  * 16  *  * | 2 0
x3x . . x3o  &   18 |   9  27 |  3  0   9  6   9 |  0  0  3  3  3 |  *  *  * 32  * | 1 1
. x3o . x3o       9 |   0  18 |  0  0   0  6   9 |  0  0  0  0  6 |  *  *  *  * 16 | 0 2
---------------+-----+---------+------------------+----------------+----------------+----
x3x3o x3x .  &   72 |  72 108 | 36 18  54 24  36 |  6 18 24 12 12 |  3  3  4  4  0 | 8 *
x3x3o . x3o  &   36 |  18  72 | 12  0  18 24  36 |  3  0 12  6 24 |  0  3  0  4  4 | * 8

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