Acronym pricoalprico
Name prismatorhombated-icositetrachoron atop alternate prismatorhombated-icositetrachoron
Circumradius sqrt[27+16 sqrt(2)]/2 = 3.522336
Confer
general polytopal classes:
segmentotera   scaliform  

Incidence matrix according to Dynkin symbol

xx3xo4ox3xx&#x   → height = sqrt[4 sqrt(2)-5] = 0.810465
(prico || alt. prico)

o.3o.4o.3o.    & | 1152 |   1    2    2    2 |   2   2   1   2   1    4    3 |  1   2   1  1   3   3   2   1 | 1  2   3
-----------------+------+--------------------+-------------------------------+-------------------------------+---------
x. .. .. ..    & |    2 | 576    *    *    * |   2   2   0   0   0    2    0 |  1   2   1  0   2   1   2   0 | 1  1   3
.. x. .. ..    & |    2 |   * 1152    *    * |   1   0   1   1   0    0    1 |  1   1   0  1   1   1   0   1 | 1  2   1
.. .. .. x.    & |    2 |   *    * 1152    * |   0   1   0   1   1    1    0 |  0   1   1  1   1   1   1   0 | 1  1   2
oo3oo4oo3oo&#x   |    2 |   *    *    * 1152 |   0   0   0   0   0    2    2 |  0   0   0  0   2   2   1   1 | 0  2   2
-----------------+------+--------------------+-------------------------------+-------------------------------+---------
x.3x. .. ..    & |    6 |   3    3    0    0 | 384   *   *   *   *    *    * |  1   1   0  0   1   0   0   0 | 1  1   1
x. .. .. x.    & |    4 |   2    0    2    0 |   * 576   *   *   *    *    * |  0   1   1  0   0   0   1   0 | 1  0   2
.. x.4o. ..    & |    4 |   0    4    0    0 |   *   * 288   *   *    *    * |  1   0   0  1   0   0   0   1 | 1  2   0
.. x. .. x.    & |    4 |   0    2    2    0 |   *   *   * 576   *    *    * |  0   1   0  1   0   1   0   0 | 1  1   1
.. .. o.3x.    & |    3 |   0    0    3    0 |   *   *   *   * 384    *    * |  0   0   1  1   1   0   0   0 | 1  1   1
xx .. .. ..&#x & |    4 |   1    0    1    2 |   *   *   *   *   * 1152    * |  0   0   0  0   1   1   1   0 | 0  1   2
.. xo .. ..&#x & |    3 |   0    1    0    2 |   *   *   *   *   *    * 1152 |  0   0   0  0   1   1   0   1 | 0  2   1
-----------------+------+--------------------+-------------------------------+-------------------------------+---------
x.3x.4o. ..    &    24 |  12   24    0    0 |   8   0   6   0   0    0    0 | 48   *   *  *   *   *   *   * | 1  1   0
x.3x. .. x.    &    12 |   6    6    6    0 |   2   3   0   3   0    0    0 |  * 192   *  *   *   *   *   * | 1  0   1
x. .. o.3x.    &     6 |   3    0    6    0 |   0   3   0   0   2    0    0 |  *   * 192  *   *   *   *   * | 1  0   1
.. x.4o.3x.    &    24 |   0   24   24    0 |   0   0   6  12   8    0    0 |  *   *   * 48   *   *   *   * | 1  1   0
xx3xo .. ..&#x &     9 |   3    3    3    6 |   1   0   0   0   1    3    3 |  *   *   *  * 384   *   *   * | 0  1   1
xx .. ox ..&#x &     6 |   1    2    2    4 |   0   0   0   1   0    2    2 |  *   *   *  *   * 576   *   * | 0  1   1
xx .. .. xx&#x       8 |   4    0    4    4 |   0   2   0   0   0    4    0 |  *   *   *  *   *   * 288   * | 0  0   2
.. xo4ox ..&#x       8 |   0    8    0    8 |   0   0   2   0   0    0    8 |  *   *   *  *   *   *   * 144 | 0  2   0
-----------------+------+--------------------+-------------------------------+-------------------------------+---------
x.3x.4o.3x.    &   576 | 288  576  576    0 | 192 288 144 288 192    0    0 | 24  96  96 24   0   0   0   0 | 2  *   *
xx3xo4ox ..&#x &    48 |  12   48   24   48 |   8   0  12  12   8   24   48 |  1   0   0  1   8  12   0   6 | * 48   *
xx3xo .. xx&#x &    18 |   9    6   12   12 |   2   6   0   3   2   12    6 |  0   1   1  0   2   3   3   0 | *  * 192

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