Acronym trahi
Name triangle - hecatonicosachoron duoprism
Circumradius sqrt[(22+9 sqrt(5))/3] = 3.747204
Confer n,hi-dip  

Incidence matrix according to Dynkin symbol

x3o o3o3o5x

. . . . . . | 1800 |    2    4 |   1    8    6 |    4   12   4 |   6   8 1 |   4 2
------------+------+-----------+---------------+---------------+-----------+------
x . . . . . |    2 | 1800    * |   1    4    0 |    4    6   0 |   6   4 0 |   4 1
. . . . . x |    2 |    * 3600 |   0    2    3 |    1    6   3 |   3   6 1 |   3 2
------------+------+-----------+---------------+---------------+-----------+------
x3o . . . . |    3 |    3    0 | 600    *    *     4    0   0 |   6   0 0 |   4 0
x . . . . x |    4 |    2    2 |   * 3600    * |    1    3   0 |   3   3 0 |   3 1
. . . . o5x |    5 |    0    5 |   *    * 2160 |    0    2   2 |   1   4 1 |   2 2
------------+------+-----------+---------------+---------------+-----------+------
x3o . . . x     6 |    6    3 |   2    3    0 | 1200    *   * |   3   0 0 |   3 0
x . . . o5x    10 |    5   10 |   0    5    2 |    * 2160   * |   1   2 0 |   2 1
. . . o3o5x    20 |    0   30 |   0    0   12 |    *    * 360 |   0   2 1 |   1 2
------------+------+-----------+---------------+---------------+-----------+------
x3o . . o5x    15 |   15   15 |   5   15    3 |    5    3   0 | 720   * * |   2 0
x . . o3o5x    40 |   20   60 |   0   30   24 |    0   12   2 |   * 360 * |   1 1
. . o3o3o5x   600 |    0 1200 |   0    0  720 |    0    0 120 |   *   * 3 |   0 2
------------+------+-----------+---------------+---------------+-----------+------
x3o . o3o5x    60 |   60   90 |  20   90   36 |   30   36   3 |  12   3 0 | 120 *
x . o3o3o5x  1200 |  600 2400 |   0 1200 1440 |    0  720 240 |   0 120 2 |   * 3

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