Acronym coid
Name cuboctahedron-icosidodecahedron duoprism
Circumradius sqrt[(5+sqrt(5))/2] = 1.902113

Incidence matrix according to Dynkin symbol

o3x4o o3x5o

. . . . . . | 360 |   4   4 |   2   2   16   2   2 |  1   8   8   8   8  1 |  4   4  4   4  4  4 |  2  2 2 2
------------+-----+---------+----------------------+-----------------------+---------------------+----------
. x . . . . |   2 | 720   * |   1   1    4   0   0 |  1   4   4   2   2  0 |  4   2  2   2  2  1 |  2  2 1 1
. . . . x . |   2 |   * 720 |   0   0    4   1   1 |  0   2   2   4   4  1 |  1   2  2   2  2  4 |  1  1 2 2
------------+-----+---------+----------------------+-----------------------+---------------------+----------
o3x . . . . |   3 |   3   0 | 240   *    *   *   * |  1   4   0   0   0  0 |  4   2  2   0  0  0 |  2  2 1 0
. x4o . . . |   4 |   4   0 |   * 180    *   *   * |  1   0   4   0   0  0 |  4   0  0   2  2  0 |  2  2 0 1
. x . . x . |   4 |   2   2 |   *   * 1440   *   * |  0   1   1   1   1  0 |  1   1  1   1  1  1 |  1  1 1 1
. . . o3x . |   3 |   0   3 |   *   *    * 240   * |  0   0   0   4   0  1 |  0   2  0   2  0  4 |  1  0 2 2
. . . . x5o |   5 |   0   5 |   *   *    *   * 144 |  0   0   0   0   4  1 |  0   0  2   0  2  4 |  0  1 2 2
------------+-----+---------+----------------------+-----------------------+---------------------+----------
o3x4o . . .   12 |  24   0 |   8   6    0   0   0 | 30   *   *   *   *  * |  4   0  0   0  0  0 |  2  2 0 0
o3x . . x .    6 |   6   3 |   2   0    3   0   0 |  * 480   *   *   *  * |  1   1  1   0  0  0 |  1  1 1 0
. x4o . x .    8 |   8   4 |   0   2    4   0   0 |  *   * 360   *   *  * |  1   0  0   1  1  0 |  1  1 0 1
. x . o3x .    6 |   3   6 |   0   0    3   2   0 |  *   *   * 480   *  * |  0   1  0   1  0  1 |  1  0 1 1
. x . . x5o   10 |   5  10 |   0   0    5   0   2 |  *   *   *   * 288  * |  0   0  1   0  1  1 |  0  1 1 1
. . . o3x5o   30 |   0  60 |   0   0    0  20  12 |  *   *   *   *   * 12 |  0   0  0   0  0  4 |  0  0 2 2
------------+-----+---------+----------------------+-----------------------+---------------------+----------
o3x4o . x .   24 |  48  12 |  16  12   24   0   0 |  2   8   6   0   0  0 | 60   *  *   *  *  * |  1  1 0 0
o3x . o3x .    9 |   9   9 |   3   0    9   3   0 |  0   3   0   3   0  0 |  * 160  *   *  *  * |  1  0 1 0
o3x . . x5o   15 |  15  15 |   5   0   15   0   3 |  0   5   0   0   3  0 |  *   * 96   *  *  * |  0  1 1 0
. x4o o3x .   12 |  12  12 |   0   3   12   4   0 |  0   0   3   4   0  0 |  *   *  * 120  *  * |  1  0 0 1
. x4o . x5o   20 |  20  20 |   0   5   20   0   4 |  0   0   5   0   4  0 |  *   *  *   * 72  * |  0  1 0 1
. x . o3x5o   60 |  30 120 |   0   0   60  40  24 |  0   0   0  20  12  2 |  *   *  *   *  * 24 |  0  0 1 1
------------+-----+---------+----------------------+-----------------------+---------------------+----------
o3x4o o3x .   36 |  72  36 |  24  18   72  12   0 |  3  24  18  24   0  0 |  3   8  0   6  0  0 | 20  * * *
o3x4o . x5o   60 | 120  60 |  40  30  120   0  12 |  5  40  30   0  24  0 |  5   0  8   0  6  0 |  * 12 * *
o3x . o3x5o   90 |  90 180 |  30   0  180  60  36 |  0  60   0  60  36  3 |  0  20 12   0  0  3 |  *  * 8 *
. x4o o3x5o  120 | 120 240 |   0  30  240  80  48 |  0   0  60  80  48  4 |  0   0  0  20 12  4 |  *  * * 6

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