Acronym trahex dafup
Name triangular-hexadecachoral duoantifastegiaprism,
trahex atop dual-gyrated trahex
Circumradius sqrt(7/8) = 0.935414
Face vector 48, 384, 1120, 1472, 934, 276, 32
Confer
uniform relative:
hesa  
general polytopal classes:
scaliform   segmentoexa  

Incidence matrix according to Dynkin symbol

xo3ox xo3oo3ox *d3oo&#x   → height = 1/sqrt(6) = 0.408248
(trahex || dual-gyro trahex)

o.3o. o.3o.3o. *d3o.    & | 48 |  2   6   8 |  1  12  12  12  36 |  6  24  4  4  4  30  24  32  12 | 12  8  8 1 18  28  18  20  8 10 |  4  4 2 16  6 12  9  6 2 | 1 4  5 3
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x. .. .. .. ..    ..    & |  2 | 48   *   * |  1   6   0   4   0 |  6  12  0  0  4  12   6   0   0 | 12  4  4 0 18  12   6   4  0  0 |  4  4 1 16  6  4  4  1 0 | 1 4  5 1
.. .. x. .. ..    ..    & |  2 |  * 144   * |  0   2   4   0   4 |  1   8  2  2  0   4   2   8   2 |  4  4  4 1  2   8   3   4  4  4 |  2  2 2  4  1  6  4  2 2 | 1 2  2 3
oo3oo oo3oo3oo *d3oo&#x   |  2 |  *   * 192 |  0   0   0   2   6 |  0   0  0  0  1   6   6   6   3 |  0  0  0 0  6   6   6   6  3  2 |  0  0 0  6  3  6  2  2 1 | 0 3  2 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. .. .. ..    ..    & |  3 |  3   0   0 | 16   *   *   *   * |  6   0  0  0  4   0   0   0   0 | 12  0  0 0 18   0   0   0  0  0 |  4  4 0 16  6  0  0  0 0 | 1 4  5 0
x. .. x. .. ..    ..    & |  4 |  2   2   0 |  * 144   *   *   * |  1   4  0  0  0   2   0   0   0 |  4  2  2 0  2   4   1   0  0  0 |  2  2 1  4  1  2  2  0 0 | 1 2  2 1
.. .. x.3o. ..    ..    & |  3 |  0   3   0 |  *   * 192   *   * |  0   2  1  1  0   0   0   2   0 |  1  2  2 1  0   2   0   1  2  2 |  1  1 2  1  0  3  2  1 2 | 1 1  1 3
xo .. .. .. ..    ..&#x & |  3 |  1   0   2 |  *   *   * 192   * |  0   0  0  0  1   3   3   0   0 |  0  0  0 0  6   3   3   3  0  0 |  0  0 0  6  3  3  1  1 0 | 0 3  2 1
.. .. xo .. ..    ..&#x & |  3 |  0   1   2 |  *   *   *   * 576 |  0   0  0  0  0   1   1   2   1 |  0  0  0 0  1   2   2   2  2  1 |  0  0 0  2  1  4  1  1 1 | 0 2  1 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. x. .. ..    ..    &   6 |  6   3   0 |  2   3   0   0   0 | 48   *  *  *  *   *   *   *   * |  4  0  0 0  2   0   0   0  0  0 |  2  2 0  4  1  0  0  0 0 | 1 2  2 0
x. .. x.3o. ..    ..    &   6 |  3   6   0 |  0   3   2   0   0 |  * 192  *  *  *   *   *   *   * |  1  1  1 0  0   1   0   0  0  0 |  1  1 1  1  0  1  1  0 0 | 1 1  1 1
.. .. x.3o.3o.    ..    &   4 |  0   6   0 |  0   0   4   0   0 |  *   * 48  *  *   *   *   *   * |  0  2  0 1  0   0   0   0  2  0 |  1  0 2  0  0  3  0  0 2 | 1 1  0 3
.. .. x.3o. .. *d3o.    &   4 |  0   6   0 |  0   0   4   0   0 |  *   *  * 48  *   *   *   *   * |  0  0  2 1  0   0   0   0  0  2 |  0  1 2  0  0  0  2  1 2 | 1 0  1 3
xo3ox .. .. ..    ..&#x     6 |  6   0   6 |  2   0   0   6   0 |  *   *  *  * 32   *   *   *   * |  0  0  0 0  6   0   0   0  0  0 |  0  0 0  6  3  0  0  0 0 | 0 3  2 0
xo .. xo .. ..    ..&#x &   5 |  2   2   4 |  0   1   0   2   2 |  *   *  *  *  * 288   *   *   * |  0  0  0 0  1   2   1   0  0  0 |  0  0 0  2  1  2  1  0 0 | 0 2  1 1
xo .. .. .. ox    ..&#x &   4 |  1   1   4 |  0   0   0   2   2 |  *   *  *  *  *   * 288   *   * |  0  0  0 0  1   0   1   2  0  0 |  0  0 0  2  1  2  0  1 0 | 0 2  1 1
.. .. xo3oo ..    ..&#x &   4 |  0   3   3 |  0   0   1   0   3 |  *   *  *  *  *   *   * 384   * |  0  0  0 0  0   1   0   1  1  1 |  0  0 0  1  0  2  1  1 1 | 0 1  1 2
.. .. xo .. ox    ..&#x     4 |  0   2   4 |  0   0   0   0   4 |  *   *  *  *  *   *   *   * 144   0  0  0 0  0   0   2   0  2  0 |  0  0 0  0  1  4  0  0 1 | 0 2  0 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. x.3o. ..    ..    &   9 |  9   9   0 |  3   9   3   0   0 |  3   3  0  0  0   0   0   0   0 | 64  *  * *  *   *   *   *  *  * |  1  1 0  1  0  0  0  0 0 | 1 1  1 0
x. .. x.3o.3o.    ..    &   8 |  4  12   0 |  0   6   8   0   0 |  0   4  2  0  0   0   0   0   0 |  * 48  * *  *   *   *   *  *  * |  1  0 1  0  0  1  0  0 0 | 1 1  0 1
x. .. x.3o. .. *d3o.    &   8 |  4  12   0 |  0   6   8   0   0 |  0   4  0  2  0   0   0   0   0 |  *  * 48 *  *   *   *   *  *  * |  0  1 1  0  0  0  1  0 0 | 1 0  1 1
.. .. x.3o.3o. *d3o.    &   8 |  0  24   0 |  0   0  32   0   0 |  0   0  8  8  0   0   0   0   0 |  *  *  * 6  *   *   *   *  *  * |  0  0 2  0  0  0  0  0 2 | 1 0  0 3
xo3ox xo .. ..    ..&#x &   9 |  9   3  12 |  3   3   0  12   6 |  1   0  0  0  2   3   3   0   0 |  *  *  * * 96   *   *   *  *  * |  0  0 0  2  1  0  0  0 0 | 0 2  1 0
xo .. xo3oo ..    ..&#x &   7 |  3   6   6 |  0   3   2   3   6 |  0   1  0  0  0   3   0   2   0 |  *  *  * *  * 192   *   *  *  * |  0  0 0  1  0  1  1  0 0 | 0 1  1 1
xo .. xo .. ox    ..&#x &   6 |  2   3   8 |  0   1   0   4   8 |  0   0  0  0  0   2   2   0   2 |  *  *  * *  *   * 144   *  *  * |  0  0 0  0  1  2  0  0 0 | 0 2  0 1
xo .. .. oo3ox    ..&#x &   5 |  1   3   6 |  0   0   1   3   6 |  0   0  0  0  0   0   3   2   0 |  *  *  * *  *   *   * 192  *  * |  0  0 0  1  0  1  0  1 0 | 0 1  1 1
.. .. xo3oo3ox    ..&#x     8 |  0  12  12 |  0   0   8   0  24 |  0   0  2  0  0   0   0   8   6 |  *  *  * *  *   *   *   * 48  * |  0  0 0  0  0  2  0  0 1 | 0 1  0 2
.. .. xo3oo .. *d3oo&#x &   5 |  0   6   4 |  0   0   4   0   6 |  0   0  0  1  0   0   0   4   0 |  *  *  * *  *   *   *   *  * 96 |  0  0 0  0  0  0  1  1 1 | 0 0  1 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. x.3o.3o.    ..    &  12 | 12  18   0 |  4  18  12   0   0 |  6  12  3  0  0   0   0   0   0 |  4  3  0 0  0   0   0   0  0  0 | 16  * *  *  *  *  *  * * | 1 1  0 0
x.3o. x.3o. .. *d3o.    &  12 | 12  18   0 |  4  18  12   0   0 |  6  12  0  3  0   0   0   0   0 |  4  0  3 0  0   0   0   0  0  0 |  * 16 *  *  *  *  *  * * | 1 0  1 0
x. .. x.3o.3o. *d3o.    &  16 |  8  48   0 |  0  24  64   0   0 |  0  32 16 16  0   0   0   0   0 |  0  8  8 2  0   0   0   0  0  0 |  *  * 6  *  *  *  *  * * | 1 0  0 1
xo3ox xo3oo ..    ..&#x &  12 | 12   9  18 |  4   9   3  18  18 |  3   3  0  0  3   9   9   6   0 |  1  0  0 0  3   3   0   3  0  0 |  *  * * 64  *  *  *  * * | 0 1  1 0
xo3ox xo .. ox    ..&#x    12 | 12   6  24 |  4   6   0  24  24 |  2   0  0  0  4  12  12   0   6 |  0  0  0 0  4   0   6   0  0  0 |  *  * *  * 24  *  *  * * | 0 2  0 0
xo .. xo3oo3ox    ..&#x &  12 |  4  18  24 |  0   6  12  12  48 |  0   4  3  0  0  12  12  16  12 |  0  1  0 0  0   4   6   4  2  0 |  *  * *  *  * 48  *  * * | 0 1  0 1
xo .. xo3oo .. *d3oo&#x &   9 |  4  12   8 |  0   6   8   4  12 |  0   4  0  2  0   6   0   8   0 |  0  0  1 0  0   4   0   0  0  2 |  *  * *  *  *  * 48  * * | 0 0  1 1
xo .. .. oo3ox *d3oo&#x &   6 |  1   6   8 |  0   0   4   4  12 |  0   0  0  1  0   0   6   8   0 |  0  0  0 0  0   0   0   4  0  2 |  *  * *  *  *  *  * 48 * | 0 0  1 1
.. .. xo3oo3ox *d3oo&#x    16 |  0  48  32 |  0   0  64   0  96 |  0   0 16 16  0   0   0  64  24 |  0  0  0 2  0   0   0   0  8 16 |  *  * *  *  *  *  *  * 6 | 0 0  0 2
--------------------------+----+------------+--------------------+---------------------------------+---------------------------------+--------------------------+---------
x.3o. x.3o.3o. *d3o.    &  24 | 24  72   0 |  8  72  96   0   0 | 24  96 24 24  0   0   0   0   0 | 32 24 24 3  0   0   0   0  0  0 |  8  8 3  0  0  0  0  0 0 | 2 *  * *
xo3ox xo3oo3ox    ..&#x    24 | 24  36  72 |  8  36  24  72 144 | 12  24  6  0 12  72  72  48  36 |  8  6  0 0 24  24  36  24  6  0 |  2  0 0  8  6  6  0  0 0 | * 8  * *
xo3ox xo3oo .. *d3oo&#x &  15 | 15  18  24 |  5  18  12  24  36 |  6  12  0  3  4  18  18  24   0 |  4  0  3 0  6  12   0  12  0  6 |  0  1 0  4  0  0  3  3 0 | * * 16 *
xo .. xo3oo3ox *d3oo&#x &  24 |  8  72  64 |  0  24  96  32 192 |  0  32 24 24  0  48  48 128  48 |  0  8  8 3  0  32  24  32 16 32 |  0  0 1  0  0  8  8  8 2 | * *  * 6

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