Acronym dohi
Name dodecahedron - hecatonicosachoron duoprism
Circumradius sqrt[(65+27 sqrt(5))/8] = 3.958754
Face vector 12000, 42000, 57600, 39000, 13460, 2190, 132
Confer
general polytopal classes:
Wythoffian polyexa  

Incidence matrix according to Dynkin symbol

o3o5x o3o3o5x

. . . . . . . | 12000 |     3     4 |    3    12     6 |   1    12    18    4 |    4   18   12  1 |   6   12  3 |   4  3
--------------+-------+-------------+------------------+----------------------+-------------------+-------------+-------
. . x . . . . |     2 | 18000     * |    2     4     0 |   1     8     6    0 |    4   12    4  0 |   6    8  1 |   4  2
. . . . . . x |     2 |     * 24000 |    0     3     3 |   0     3     9    3 |    1    9    9  1 |   3    9  3 |   3  3
--------------+-------+-------------+------------------+----------------------+-------------------+-------------+-------
. o5x . . . . |     5 |     5     0 | 7200     *     * |   1     4     0    0 |    4    6    0  0 |   6    4  0 |   4  1
. . x . . . x |     4 |     2     2 |    * 36000     * |   0     2     3    0 |    1    6    3  0 |   3    6  1 |   3  2
. . . . . o5x |     5 |     0     5 |    *     * 14400 |   0     0     3    2 |    0    3    6  1 |   1    6  3 |   2  3
--------------+-------+-------------+------------------+----------------------+-------------------+-------------+-------
o3o5x . . . .     20 |    30     0 |   12     0     0 | 600     *     *    *     4    0    0  0 |   6    0  0 |   4  0
. o5x . . . x     10 |    10     5 |    2     5     0 |   * 14400     *    * |    1    3    0  0 |   3    3  0 |   3  1
. . x . . o5x     10 |     5    10 |    0     5     2 |   *     * 21600    * |    0    2    2  0 |   1    4  1 |   2  2
. . . . o3o5x     20 |     0    30 |    0     0    12 |   *     *     * 2400 |    0    0    3  1 |   0    3  3 |   1  3
--------------+-------+-------------+------------------+----------------------+-------------------+-------------+-------
o3o5x . . . x     40 |    60    20 |   24    30     0 |   2    12     0    0 | 1200    *    *  * |   3    0  0 |   3  0
. o5x . . o5x     25 |    25    25 |    5    25     5 |   0     5     5    0 |    * 8640    *  * |   1    2  0 |   2  1
. . x . o3o5x     40 |    20    60 |    0    30    24 |   0     0    12    2 |    *    * 3600  * |   0    2  1 |   1  2
. . . o3o3o5x    600 |     0  1200 |    0     0   720 |   0     0     0  120 |    *    *    * 20 |   0    0  3 |   0  3
--------------+-------+-------------+------------------+----------------------+-------------------+-------------+-------
o3o5x . . o5x    400 |   150   100 |   60   150    20 |   5    60    30    0 |    5   12    0  0 | 720    *  * |   2  0
. o5x . o3o5x    400 |   100   150 |   20   150    60 |   0    30    60    5 |    0   12    5  0 |   * 1440  * |   1  1
. . x o3o3o5x   1200 |   600  2400 |    0  1200  1440 |   0     0   720  240 |    0    0  120  2 |   *    * 30 |   0  2
--------------+-------+-------------+------------------+----------------------+-------------------+-------------+-------
o3o5x . o3o5x    400 |   600   600 |  240   900   240 |  20   360   360   20 |   30  144   30  0 |  12   12  0 | 120  *
. o5x o3o3o5x   3000 |  3000  6000 |  600  6000  3600 |   0  1200  3600  600 |    0  720  600  5 |   0  120  5 |   * 12

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