Acronym contip
Name tetracontoctachoron prism,
bitruncated-icositetrachoron prism
Circumradius sqrt[25+16 sqrt(2)]/2 = 3.450631
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x o3x4x3o

. . . . . | 576 |   1   2   2 |   2   2   1   4   1 |  1   4  1  2  2 |  2  2 1
----------+-----+-------------+---------------------+-----------------+--------
x . . . . |   2 | 288   *   * |   2   2   0   0   0 |  1   4  1  0  0 |  2  2 0
. . x . . |   2 |   * 576   * |   1   0   1   2   0 |  1   2  0  2  1 |  2  1 1
. . . x . |   2 |   *   * 576 |   0   1   0   2   1 |  0   2  1  1  2 |  1  2 1
----------+-----+-------------+---------------------+-----------------+--------
x . x . . |   4 |   2   2   0 | 288   *   *   *   * |  1   2  0  0  0 |  2  1 0
x . . x . |   4 |   2   0   2 |   * 288   *   *   * |  0   2  1  0  0 |  1  2 0
. o3x . . |   3 |   0   3   0 |   *   * 192   *   * |  1   0  0  2  0 |  2  0 1
. . x4x . |   8 |   0   4   4 |   *   *   * 288   * |  0   1  0  1  1 |  1  1 1
. . . x3o |   3 |   0   0   3 |   *   *   *   * 192 |  0   0  1  0  2 |  0  2 1
----------+-----+-------------+---------------------+-----------------+--------
x o3x . .    6 |   3   6   0 |   3   0   2   0   0 | 96   *  *  *  * |  2  0 0
x . x4x .   16 |   8   8   8 |   4   4   0   2   0 |  * 144  *  *  * |  1  1 0
x . . x3o    6 |   3   0   6 |   0   3   0   0   2 |  *   * 96  *  * |  0  2 0
. o3x4x .   24 |   0  24  12 |   0   0   8   6   0 |  *   *  * 48  * |  1  0 1
. . x4x3o   24 |   0  12  24 |   0   0   0   6   8 |  *   *  *  * 48 |  0  1 1
----------+-----+-------------+---------------------+-----------------+--------
x o3x4x .   48 |  24  48  24 |  24  12  16  12   0 |  8   6  0  2  0 | 24  * *
x . x4x3o   48 |  24  24  48 |  12  24   0  12  16 |  0   6  8  0  2 |  * 24 *
. o3x4x3o  288 |   0 288 288 |   0   0  96 144  96 |  0   0  0 24 24 |  *  * 2
or
. . . . .    | 576 |   1    4 |   4   2   4 |   2   4  4 |  4 1
-------------+-----+----------+-------------+------------+-----
x . . . .    |   2 | 288    * |   4   0   0 |   2   4  0 |  4 0
. . x . .  & |   2 |   * 1152 |   1   1   2 |   1   2  3 |  3 1
-------------+-----+----------+-------------+------------+-----
x . x . .  & |   4 |   2    2 | 576   *   * |   1   2  0 |  3 0
. o3x . .  & |   3 |   0    3 |   * 384   * |   1   0  2 |  2 1
. . x4x .    |   8 |   0    8 |   *   * 288 |   0   1  2 |  2 1
-------------+-----+----------+-------------+------------+-----
x o3x . .  &    6 |   3    6 |   3   2   0 | 192   *  * |  2 0
x . x4x .      16 |   8   16 |   8   0   2 |   * 144  * |  2 0
. o3x4x .  &   24 |   0   36 |   0   8   6 |   *   * 96 |  1 1
-------------+-----+----------+-------------+------------+-----
x o3x4x .  &   48 |  24   72 |  36  16  12 |   8   6  2 | 48 *
. o3x4x3o     288 |   0  576 |   0 192 144 |   0   0 48 |  * 2

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