Acronym gippiccup
Name great-prismatotetracontoctachoron prism,
omnitruncated-icositetrachoron prism
Circumradius sqrt[57+36 sqrt(2)]/2 = 5.194028
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x x3x4x3x

. . . . .    | 2304 |    1    2    2 |    2    2   2    2   1   1 |   2   2   1   1  2   2 |  2   2 1
-------------+------+----------------+----------------------------+------------------------+---------
x . . . .    |    2 | 1152    *    * |    2    2   0    0   0   0 |   2   2   1   1  0   0 |  2   2 0
. x . . .  & |    2 |    * 2304    * |    1    0   1    1   1   0 |   1   1   1   0  1   2 |  1   2 1
. . x . .  & |    2 |    *    * 2304 |    0    1   1    1   0   1 |   1   1   0   1  2   1 |  2   1 1
-------------+------+----------------+----------------------------+------------------------+---------
x x . . .  & |    4 |    2    2    0 | 1152    *   *    *   *   * |   1   1   1   0  0   0 |  1   2 0
x . x . .  & |    4 |    2    0    2 |    * 1152   *    *   *   * |   1   1   0   1  0   0 |  2   1 0
. x3x . .  & |    6 |    0    3    3 |    *    * 768    *   *   * |   1   0   0   0  1   1 |  1   1 1
. x . x .  & |    4 |    0    2    2 |    *    *   * 1152   *   * |   0   1   0   0  1   1 |  1   1 1
. x . . x    |    4 |    0    4    0 |    *    *   *    * 576   * |   0   0   1   0  0   2 |  0   2 1
. . x4x .    |    8 |    0    0    8 |    *    *   *    *   * 288 |   0   0   0   1  2   0 |  2   0 1
-------------+------+----------------+----------------------------+------------------------+---------
x x3x . .  &    12 |    6    6    6 |    3    3   2    0   0   0 | 384   *   *   *  *   * |  1   1 0
x x . x .  &     8 |    4    4    4 |    2    2   0    2   0   0 |   * 576   *   *  *   * |  1   1 0
x x . . x        8 |    4    8    0 |    4    0   0    0   2   0 |   *   * 288   *  *   * |  0   2 0
x . x4x .       16 |    8    0   16 |    0    8   0    0   0   2 |   *   *   * 144  *   * |  2   0 0
. x3x4x .  &    48 |    0   24   48 |    0    0   8   12   0   6 |   *   *   *   * 96   * |  1   0 1
. x3x . x  &    12 |    0   12    6 |    0    0   2    3   3   0 |   *   *   *   *  * 384 |  0   1 1
-------------+------+----------------+----------------------------+------------------------+---------
x x3x4x .  &    96 |   48   48   96 |   24   48  16   24   0  12 |   8  12   0   6  2   0 | 48   * *
x x3x . x  &    24 |   12   24   12 |   12    6   4    6   6   0 |   2   3   3   0  0   2 |  * 192 *
. x3x4x3x     1152 |    0 1152 1152 |    0    0 384  576 288 144 |   0   0   0   0 48 192 |  *   * 2

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