Acronym squex
Name square-hexacosachoron duoprism
Circumradius sqrt[(4+sqrt(5))/2] = 1.765796
Face vector 480, 3360, 7800, 7920, 3604, 604
Confer
more general:
n,ex-dip  
general polytopal classes:
Wythoffian polypeta  

Incidence matrix according to Dynkin symbol

x4o x3o3o5o

. . . . . . | 480 |   2   12 |   1   24   30 |  12   60   20 |   30   40 1 |  20 2
------------+-----+----------+---------------+---------------+-------------+------
x . . . . . |   2 | 480    * |   1   12    0 |  12   30    0 |   30   20 0 |  20 1
. . x . . . |   2 |   * 2880 |   0    2    5 |   1   10    5 |    5   10 1 |   5 2
------------+-----+----------+---------------+---------------+-------------+------
x4o . . . . |   4 |   4    0 | 120    *    *   12    0    0 |   30    0 0 |  20 0
x . x . . . |   4 |   2    2 |   * 2880    * |   1    5    0 |    5    5 0 |   5 1
. . x3o . . |   3 |   0    3 |   *    * 4800 |   0    2    2 |    1    4 1 |   2 2
------------+-----+----------+---------------+---------------+-------------+------
x4o x . . .    8 |   8    4 |   2    4    0 | 720    *    * |    5    0 0 |   5 0
x . x3o . .    6 |   3    6 |   0    3    2 |   * 4800    * |    1    2 0 |   2 1
. . x3o3o .    4 |   0    6 |   0    0    4 |   *    * 2400 |    0    2 1 |   1 2
------------+-----+----------+---------------+---------------+-------------+------
x4o x3o . .   12 |  12   12 |   3   12    4 |   3    4    0 | 1200    * * |   2 0
x . x3o3o .    8 |   4   12 |   0    6    8 |   0    4    2 |    * 2400 * |   1 1
. . x3o3o5o  120 |   0  720 |   0    0 1200 |   0    0  600 |    *    * 4 |   0 2
------------+-----+----------+---------------+---------------+-------------+------
x4o x3o3o .   16 |  16   24 |   4   24   16 |   6   16    4 |    4    4 0 | 600 *
x . x3o3o5o  240 | 120 1440 |   0  720 2400 |   0 1200 1200 |    0  600 2 |   * 4

x x x3o3o5o

. . . . . . | 480 |   1   1   12 |   1   12   12   30 |  12   30   30   20 |   30   20   20 1 |  20 1 1
------------+-----+--------------+--------------------+--------------------+------------------+--------
x . . . . . |   2 | 240   *    * |   1   12    0    0 |  12   30    0    0 |   30   20    0 0 |  20 1 0
. x . . . . |   2 |   * 240    * |   1    0   12    0 |  12    0   30    0 |   30    0   20 0 |  20 0 1
. . x . . . |   2 |   *   * 2880 |   0    1    1    5 |   1    5    5    5 |    5    5    5 1 |   5 1 1
------------+-----+--------------+--------------------+--------------------+------------------+--------
x x . . . . |   4 |   2   2    0 | 120    *    *    *   12    0    0    0 |   30    0    0 0 |  20 0 0
x . x . . . |   4 |   2   0    2 |   * 1440    *    * |   1    5    0    0 |    5    5    0 0 |   5 1 0
. x x . . . |   4 |   0   2    2 |   *    * 1440    * |   1    0    5    0 |    5    0    5 0 |   5 0 1
. . x3o . . |   3 |   0   0    3 |   *    *    * 4800 |   0    1    1    2 |    1    2    2 1 |   2 1 1
------------+-----+--------------+--------------------+--------------------+------------------+--------
x x x . . .    8 |   4   4    4 |   2    2    2    0 | 720    *    *    * |    5    0    0 0 |   5 0 0
x . x3o . .    6 |   3   0    6 |   0    3    0    2 |   * 2400    *    * |    1    2    0 0 |   2 1 0
. x x3o . .    6 |   0   3    6 |   0    0    3    2 |   *    * 2400    * |    1    0    2 0 |   2 0 1
. . x3o3o .    4 |   0   0    6 |   0    0    0    4 |   *    *    * 2400 |    0    1    1 1 |   1 1 1
------------+-----+--------------+--------------------+--------------------+------------------+--------
x x x3o . .   12 |   6   6   12 |   3    6    6    4 |   3    2    2    0 | 1200    *    * * |   2 0 0
x . x3o3o .    8 |   4   0   12 |   0    6    0    8 |   0    4    0    2 |    * 1200    * * |   1 1 0
. x x3o3o .    8 |   0   4   12 |   0    0    6    8 |   0    0    4    2 |    *    * 1200 * |   1 0 1
. . x3o3o5o  120 |   0   0  720 |   0    0    0 1200 |   0    0    0  600 |    *    *    * 4 |   0 1 1
------------+-----+--------------+--------------------+--------------------+------------------+--------
x x x3o3o .   16 |   8   8   24 |   4   12   12   16 |   6    8    8    4 |    4    2    2 0 | 600 * *
x . x3o3o5o  240 | 120   0 1440 |   0  720    0 2400 |   0 1200    0 1200 |    0  600    0 2 |   * 2 *
. x x3o3o5o  240 |   0 120 1440 |   0    0  720 2400 |   0    0 1200 1200 |    0    0  600 2 |   * * 2

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