Acronym trarahi
Name triangle - rectified-hecatonicosachoron duoprism
Circumradius sqrt[(65+27 sqrt(5))/6] = 4.571175
Confer n,rahi-dip  

Incidence matrix according to Dynkin symbol

x3o o3o3x5o

. . . . . . | 3600 |    2     6 |    1    12    6    3 |    6   12    6    2   3 |    6   3    4   6 1 |   2   3 2
------------+------+------------+----------------------+-------------------------+---------------------+----------
x . . . . . |    2 | 3600     * |    1     6    0    0 |    6    6    3    0   0 |    6   3    2   3 0 |   2   3 1
. . . . x . |    2 |    * 10800 |    0     2    2    1 |    1    4    2    1   2 |    2   1    2   4 1 |   1   2 2
------------+------+------------+----------------------+-------------------------+---------------------+----------
x3o . . . . |    3 |    3     0 | 1200     *    *    *     6    0    0    0   0 |    6   3    0   0 0 |   2   3 0
x . . . x . |    4 |    2     2 |    * 10800    *    * |    1    2    1    0   0 |    2   1    1   2 0 |   1   2 1
. . . o3x . |    3 |    0     3 |    *     * 7200    * |    0    2    0    1   1 |    1   0    2   2 1 |   1   1 2
. . . . x5o |    5 |    0     5 |    *     *    * 2160 |    0    0    2    0   2 |    0   1    0   4 1 |   0   2 2
------------+------+------------+----------------------+-------------------------+---------------------+----------
x3o . . x .     6 |    6     3 |    2     3    0    0 | 3600    *    *    *   * |    2   1    0   0 0 |   1   2 0
x . . o3x .     6 |    3     6 |    0     3    2    0 |    * 7200    *    *   * |    1   0    1   1 0 |   1   1 1
x . . . x5o    10 |    5    10 |    0     5    0    2 |    *    * 2160    *   * |    0   1    0   2 0 |   0   2 1
. . o3o3x .     4 |    0     6 |    0     0    4    0 |    *    *    * 1800   * |    0   0    2   0 1 |   1   0 2
. . . o3x5o    30 |    0    60 |    0     0   20   12 |    *    *    *    * 360 |    0   0    0   2 1 |   0   1 2
------------+------+------------+----------------------+-------------------------+---------------------+----------
x3o . o3x .     9 |    9     9 |    3     9    3    0 |    3    3    0    0   0 | 2400   *    *   * * |   1   1 0
x3o . . x5o    15 |   15    15 |    5    15    0    3 |    5    0    3    0   0 |    * 720    *   * * |   0   2 0
x . o3o3x .     8 |    4    12 |    0     6    8    0 |    0    4    0    2   0 |    *   * 1800   * * |   1   0 1
x . . o3x5o    60 |   30   120 |    0    60   40   24 |    0   20   12    0   2 |    *   *    * 360 * |   0   1 1
. . o3o3x5o  1200 |    0  3600 |    0     0 2400  720 |    0    0    0  600 120 |    *   *    *   * 3 |   0   0 2
------------+------+------------+----------------------+-------------------------+---------------------+----------
x3o o3o3x .    12 |   12    18 |    4    18   12    0 |    6   12    0    3   0 |    4   0    3   0 0 | 600   * *
x3o . o3x5o    90 |   90   180 |   30   180   60   36 |   60   60   36    0   3 |   20  12    0   3 0 |   * 120 *
x . o3o3x5o  2400 | 1200  7200 |    0  3600 4800 1440 |    0 2400  720 1200 240 |    0   0 600  120 2 |   *   * 3

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