Acronym iddoe
Name icosidodecahedron-dodecahedron duoprism
Circumradius sqrt[(21+7 sqrt(5))/8] = 2.140458

Incidence matrix according to Dynkin symbol

o3x5o o3o5x

. . . . . . | 600 |    4   3 |   2   2   12   3 |  1   6   6  12  1 |  3   6   6  4 |  3  2  2
------------+-----+----------+------------------+-------------------+---------------+---------
. x . . . . |   2 | 1200   * |   1   1    3   0 |  1   3   3   3  0 |  3   3   3  1 |  3  1  1
. . . . . x |   2 |    * 900 |   0   0    4   2 |  0   2   2   8  1 |  1   4   4  4 |  2  2  2
------------+-----+----------+------------------+-------------------+---------------+---------
o3x . . . . |   3 |    3   0 | 400   *    *   * |  1   3   0   0  0 |  3   3   0  0 |  3  1  0
. x5o . . . |   5 |    5   0 |   * 240    *   * |  1   0   3   0  0 |  3   0   3  0 |  3  0  1
. x . . . x |   4 |    2   2 |   *   * 1800   * |  0   1   1   2  0 |  1   2   2  1 |  2  1  1
. . . . o5x |   5 |    0   5 |   *   *    * 360 |  0   0   0   4  1 |  0   2   2  4 |  1  2  2
------------+-----+----------+------------------+-------------------+---------------+---------
o3x5o . . .   30 |   60   0 |  20  12    0   0 | 20   *   *   *  * |  3   0   0  0 |  3  0  0
o3x . . . x    6 |    6   3 |   2   0    3   0 |  * 600   *   *  * |  1   2   0  0 |  2  1  0
. x5o . . x   10 |   10   5 |   0   2    5   0 |  *   * 360   *  * |  1   0   2  0 |  2  0  1
. x . . o5x   10 |    5  10 |   0   0    5   2 |  *   *   * 720  * |  0   1   1  1 |  1  1  1
. . . o3o5x   20 |    0  30 |   0   0    0  12 |  *   *   *   * 30 |  0   0   0  4 |  0  2  2
------------+-----+----------+------------------+-------------------+---------------+---------
o3x5o . . x   60 |  120  30 |  40  24   60   0 |  2  20  12   0  0 | 30   *   *  * |  2  0  0
o3x . . o5x   15 |   15  15 |   5   0   15   3 |  0   5   0   3  0 |  * 240   *  * |  1  1  0
. x5o . o5x   25 |   25  25 |   0   5   25   5 |  0   0   5   5  0 |  *   * 144  * |  1  0  1
. x . o3o5x   40 |   20  60 |   0   0   30  24 |  0   0   0  12  2 |  *   *   * 60 |  0  1  1
------------+-----+----------+------------------+-------------------+---------------+---------
o3x5o . o5x  150 |  300 150 | 100  60  300  30 |  5 100  60  60  0 |  5  20  12  0 | 12  *  *
o3x . o3o5x   60 |   60  90 |  20   0   90  36 |  0  30   0  36  3 |  0  12   0  3 |  * 20  *
. x5o o3o5x  100 |  100 150 |   0  20  150  60 |  0   0  30  60  5 |  0   0  12  5 |  *  * 12

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