Acronym ikid
Name icosahedron-icosidodecahedron duoprism
Circumradius sqrt[(17+5 sqrt(5))/8] = 1.876844

Incidence matrix according to Dynkin symbol

x3o5o o3x5o

. . . . . . | 360 |   5   4 |   5   20   2   2 |  1   20  10  10  1 |  4  10  10  5 |  2  2  5
------------+-----+---------+------------------+--------------------+---------------+---------
x . . . . . |   2 | 900   * |   2    4   0   0 |  1    8   2   2  0 |  4   4   4  1 |  2  2  2
. . . . x . |   2 |   * 720 |   0    5   1   1 |  0    5   5   5  1 |  1   5   5  5 |  1  1  5
------------+-----+---------+------------------+--------------------+---------------+---------
x3o . . . . |   3 |   3   0 | 600    *   *   * |  1    4   0   0  0 |  4   2   2  0 |  2  2  1
x . . . x . |   4 |   2   2 |   * 1800   *   * |  0    2   1   1  0 |  1   2   2  1 |  1  1  2
. . . o3x . |   3 |   0   3 |   *    * 240   * |  0    0   5   0  1 |  0   5   0  5 |  1  0  5
. . . . x5o |   5 |   0   5 |   *    *   * 144 |  0    0   0   5  1 |  0   0   5  5 |  0  1  5
------------+-----+---------+------------------+--------------------+---------------+---------
x3o5o . . .   12 |  30   0 |  20    0   0   0 | 30    *   *   *  * |  4   0   0  0 |  2  2  0
x3o . . x .    6 |   6   3 |   2    3   0   0 |  * 1200   *   *  * |  1   1   1  0 |  1  1  1
x . . o3x .    6 |   3   6 |   0    3   2   0 |  *    * 600   *  * |  0   2   0  1 |  1  0  2
x . . . x5o   10 |   5  10 |   0    5   0   2 |  *    *   * 360  * |  0   0   2  1 |  0  1  2
. . . o3x5o   30 |   0  60 |   0    0  20  12 |  *    *   *   * 12 |  0   0   0  5 |  0  0  5
------------+-----+---------+------------------+--------------------+---------------+---------
x3o5o . x .   24 |  60  12 |  40   30   0   0 |  2   20   0   0  0 | 60   *   *  * |  1  1  0
x3o . o3x .    9 |   9   9 |   3    9   3   0 |  0    3   3   0  0 |  * 400   *  * |  1  0  1
x3o . . x5o   15 |  15  15 |   5   15   0   3 |  0    5   0   3  0 |  *   * 240  * |  0  1  1
x . . o3x5o   60 |  30 120 |   0   60  40  24 |  0    0  20  12  2 |  *   *   * 30 |  0  0  2
------------+-----+---------+------------------+--------------------+---------------+---------
x3o5o o3x .   36 |  90  36 |  60   90  12   0 |  3   60  30   0  0 |  3  20   0  0 | 20  *  *
x3o5o . x5o   60 | 150  60 | 100  150   0  12 |  5  100   0  30  0 |  5   0  20  0 |  * 12  *
x3o . o3x5o   90 |  90 180 |  30  180  60  36 |  0   60  60  36  3 |  0  20  12  3 |  *  * 20

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