Acronym octco
Name octahedron-cuboctahedron duoprism
Circumradius sqrt(3/2) = 1.224745

Incidence matrix according to Dynkin symbol

x3o4o o3x4o

. . . . . . | 72 |   4   4 |  4  16  2  2 |  1  16  8  8 1 |  4  8  8  4 | 2 2 4
------------+----+---------+--------------+----------------+-------------+------
x . . . . . |  2 | 144   * |  2   4  0  0 |  1   8  2  2 0 |  4  4  4  1 | 2 2 2
. . . . x . |  2 |   * 144 |  0   4  1  1 |  0   4  4  4 1 |  1  4  4  4 | 1 1 4
------------+----+---------+--------------+----------------+-------------+------
x3o . . . . |  3 |   3   0 | 96   *  *  * |  1   4  0  0 0 |  4  2  2  0 | 2 2 1
x . . . x . |  4 |   2   2 |  * 288  *  * |  0   2  1  1 0 |  1  2  2  1 | 1 1 2
. . . o3x . |  3 |   0   3 |  *   * 48  * |  0   0  4  0 1 |  0  4  0  4 | 1 0 4
. . . . x4o |  4 |   0   4 |  *   *  * 36 |  0   0  0  4 1 |  0  0  4  4 | 0 1 4
------------+----+---------+--------------+----------------+-------------+------
x3o4o . . .   6 |  12   0 |  8   0  0  0 | 12   *  *  * * |  4  0  0  0 | 2 2 0
x3o . . x .   6 |   6   3 |  2   3  0  0 |  * 192  *  * * |  1  1  1  0 | 1 1 1
x . . o3x .   6 |   3   6 |  0   3  2  0 |  *   * 96  * * |  0  2  0  1 | 1 0 2
x . . . x4o   8 |   4   8 |  0   4  0  2 |  *   *  * 72 * |  0  0  2  1 | 0 1 2
. . . o3x4o  12 |   0  24 |  0   0  8  6 |  *   *  *  * 6 |  0  0  0  4 | 0 0 4
------------+----+---------+--------------+----------------+-------------+------
x3o4o . x .  12 |  24   6 | 16  12  0  0 |  2   8  0  0 0 | 24  *  *  * | 1 1 0
x3o . o3x .   9 |   9   9 |  3   9  3  0 |  0   3  3  0 0 |  * 64  *  * | 1 0 1
x3o . . x4o  12 |  12  12 |  4  12  0  3 |  0   4  0  3 0 |  *  * 48  * | 0 1 1
x . . o3x4o  24 |  12  48 |  0  24 16 12 |  0   0  8  6 2 |  *  *  * 12 | 0 0 2
------------+----+---------+--------------+----------------+-------------+------
x3o4o o3x .  18 |  36  18 | 24  36  6  0 |  3  24 12  0 0 |  3  8  0  0 | 8 * *
x3o4o . x4o  24 |  48  24 | 32  48  0  6 |  4  32  0 12 0 |  4  0  8  0 | * 6 *
x3o . o3x4o  36 |  36  72 | 12  72 24 18 |  0  24 24 18 3 |  0  8  6  3 | * * 8

o3x3o o3x4o

. . . . . . | 72 |   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 | 144   * |  1  1   4  0  0 |  1  4  4  2  2 0 |  4  2  2  2  2  1 | 2 2 1 1
. . . . x . |  2 |   * 144 |  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 | 48  *   *  *  * |  1  4  0  0  0 0 |  4  2  2  0  0  0 | 2 2 1 0
. x3o . . . |  3 |   3   0 |  * 48   *  *  * |  1  0  4  0  0 0 |  4  0  0  2  2  0 | 2 2 0 1
. x . . x . |  4 |   2   2 |  *  * 288  *  * |  0  1  1  1  1 0 |  1  1  1  1  1  1 | 1 1 1 1
. . . o3x . |  3 |   0   3 |  *  *   * 48  * |  0  0  0  4  0 1 |  0  2  0  2  0  4 | 1 0 2 2
. . . . x4o |  4 |   0   4 |  *  *   *  * 36 |  0  0  0  0  4 1 |  0  0  2  0  2  4 | 0 1 2 2
------------+----+---------+-----------------+------------------+-------------------+--------
o3x3o . . .   6 |  12   0 |  4  4   0  0  0 | 12  *  *  *  * * |  4  0  0  0  0  0 | 2 2 0 0
o3x . . x .   6 |   6   3 |  2  0   3  0  0 |  * 96  *  *  * * |  1  1  1  0  0  0 | 1 1 1 0
. x3o . x .   6 |   6   3 |  0  2   3  0  0 |  *  * 96  *  * * |  1  0  0  1  1  0 | 1 1 0 1
. x . o3x .   6 |   3   6 |  0  0   3  2  0 |  *  *  * 96  * * |  0  1  0  1  0  1 | 1 0 1 1
. x . . x4o   8 |   4   8 |  0  0   4  0  2 |  *  *  *  * 72 * |  0  0  1  0  1  1 | 0 1 1 1
. . . o3x4o  12 |   0  24 |  0  0   0  8  6 |  *  *  *  *  * 6 |  0  0  0  0  0  4 | 0 0 2 2
------------+----+---------+-----------------+------------------+-------------------+--------
o3x3o . x .  12 |  24   6 |  8  8  12  0  0 |  2  4  4  0  0 0 | 24  *  *  *  *  * | 1 1 0 0
o3x . o3x .   9 |   9   9 |  3  0   9  3  0 |  0  3  0  3  0 0 |  * 32  *  *  *  * | 1 0 1 0
o3x . . x4o  12 |  12  12 |  4  0  12  0  3 |  0  4  0  0  3 0 |  *  * 24  *  *  * | 0 1 1 0
. x3o o3x .   9 |   9   9 |  0  3   9  3  0 |  0  0  3  3  0 0 |  *  *  * 32  *  * | 1 0 0 1
. x3o . x4o  12 |  12  12 |  0  4  12  0  3 |  0  0  4  0  3 0 |  *  *  *  * 24  * | 0 1 0 1
. x . o3x4o  24 |  12  48 |  0  0  24 16 12 |  0  0  0  8  6 2 |  *  *  *  *  * 12 | 0 0 1 1
------------+----+---------+-----------------+------------------+-------------------+--------
o3x3o o3x .  18 |  36  18 | 12 12  36  6  0 |  3 12 12 12  0 0 |  3  4  0  4  0  0 | 8 * * *
o3x3o . x4o  24 |  48  24 | 16 16  48  0  6 |  4 16 16  0 12 0 |  4  0  4  0  4  0 | * 6 * *
o3x . o3x4o  36 |  36  72 | 12  0  72 24 18 |  0 24  0 24 18 3 |  0  8  6  0  0  3 | * * 4 *
. x3o o3x4o  36 |  36  72 |  0 12  72 24 18 |  0  0 24 24 18 3 |  0  0  0  8  6  3 | * * * 4

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