Acronym coike
Name cuboctahedron-icosahedron duoprism
Circumradius sqrt[(13+sqrt(5))/8] = 1.380039

Incidence matrix according to Dynkin symbol

o3x4o x3o5o

. . . . . . | 144 |   4   5 |  2  2  20   5 |  1  10  10  20  1 |  5  10  10  4 |  5 2 2
------------+-----+---------+---------------+-------------------+---------------+-------
. x . . . . |   2 | 288   * |  1  1   5   0 |  1   5   5   5  0 |  5   5   5  1 |  5 1 1
. . . x . . |   2 |   * 360 |  0  0   4   2 |  0   2   2   8  1 |  1   4   4  4 |  2 2 2
------------+-----+---------+---------------+-------------------+---------------+-------
o3x . . . . |   3 |   3   0 | 96  *   *   * |  1   5   0   0  0 |  5   5   0  0 |  5 1 0
. x4o . . . |   4 |   4   0 |  * 72   *   * |  1   0   5   0  0 |  5   0   5  0 |  5 0 1
. x . x . . |   4 |   2   2 |  *  * 720   * |  0   1   1   2  0 |  1   2   2  1 |  2 1 1
. . . x3o . |   3 |   0   3 |  *  *   * 240 |  0   0   0   4  1 |  0   2   2  4 |  1 2 2
------------+-----+---------+---------------+-------------------+---------------+-------
o3x4o . . .   12 |  24   0 |  8  6   0   0 | 12   *   *   *  * |  5   0   0  0 |  5 0 0
o3x . x . .    6 |   6   3 |  2  0   3   0 |  * 240   *   *  * |  1   2   0  0 |  2 1 0
. x4o x . .    8 |   8   4 |  0  2   4   0 |  *   * 180   *  * |  1   0   2  0 |  2 0 1
. x . x3o .    6 |   3   6 |  0  0   3   2 |  *   *   * 480  * |  0   1   1  1 |  1 1 1
. . . x3o5o   12 |   0  30 |  0  0   0  20 |  *   *   *   * 12 |  0   0   0  4 |  0 2 2
------------+-----+---------+---------------+-------------------+---------------+-------
o3x4o x . .   24 |  48  12 | 16 12  24   0 |  2   8   6   0  0 | 30   *   *  * |  2 0 0
o3x . x3o .    9 |   9   9 |  3  0   9   3 |  0   3   0   3  0 |  * 160   *  * |  1 1 0
. x4o x3o .   12 |  12  12 |  0  3  12   4 |  0   0   3   4  0 |  *   * 120  * |  1 0 1
. x . x3o5o   24 |  12  60 |  0  0  30  40 |  0   0   0  20  2 |  *   *   * 24 |  0 1 1
------------+-----+---------+---------------+-------------------+---------------+-------
o3x4o x3o .   36 |  72  36 | 24 18  72  12 |  3  24  18  24  0 |  3   8   6  0 | 20 * *
o3x . x3o5o   36 |  36  90 | 12  0  90  60 |  0  30   0  60  3 |  0  20   0  3 |  * 8 *
. x4o x3o5o   48 |  48 120 |  0 12 120  80 |  0   0  30  80  4 |  0   0  20  4 |  * * 6

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