Acronym oco (old: occo)
Name octagon cuboctahedron duoprism
Circumradius sqrt[2+1/sqrt(2)] = 1.645329
Confer
more general:
n,co-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x8o o3x4o

. . . . . | 96 |  2   4 |  1   8  2  2 |  4  4  4 1 | 2 2 2
----------+----+--------+--------------+------------+------
x . . . . |  2 | 96   * |  1   4  0  0 |  4  2  2 0 | 2 2 1
. . . x . |  2 |  * 192 |  0   2  1  1 |  1  2  2 1 | 1 1 2
----------+----+--------+--------------+------------+------
x8o . . . |  8 |  8   0 | 12   *  *  * |  4  0  0 0 | 2 2 0
x . . x . |  4 |  2   2 |  * 192  *  * |  1  1  1 0 | 1 1 1
. . o3x . |  3 |  0   3 |  *   * 64  * |  0  2  0 1 | 1 0 2
. . . x4o |  4 |  0   4 |  *   *  * 48 |  0  0  2 1 | 0 1 2
----------+----+--------+--------------+------------+------
x8o . x .  16 | 16   8 |  2   8  0  0 | 24  *  * * | 1 1 0
x . o3x .   6 |  3   6 |  0   3  2  0 |  * 64  * * | 1 0 1
x . . x4o   8 |  4   8 |  0   4  0  2 |  *  * 48 * | 0 1 1
. . o3x4o  12 |  0  24 |  0   0  8  6 |  *  *  * 8 | 0 0 2
----------+----+--------+--------------+------------+------
x8o o3x .  24 | 24  24 |  3  24  8  0 |  3  8  0 0 | 8 * *
x8o . x4o  32 | 32  32 |  4  32  0  8 |  4  0  8 0 | * 6 *
x . o3x4o  24 | 12  48 |  0  24 16 12 |  0  8  6 2 | * * 8

x4x o3x4o

. . . . . | 96 |  1  1   4 |  1  4  4  2  2 |  4  2  2  2  2 1 | 2 2 1 1
----------+----+-----------+----------------+------------------+--------
x . . . . |  2 | 48  *   * |  1  4  0  0  0 |  4  2  2  0  0 0 | 2 2 1 0
. x . . . |  2 |  * 48   * |  1  0  4  0  0 |  4  0  0  2  2 0 | 2 2 0 1
. . . x . |  2 |  *  * 192 |  0  1  1  1  1 |  1  1  1  1  1 1 | 1 1 1 1
----------+----+-----------+----------------+------------------+--------
x4x . . . |  8 |  4  4   0 | 12  *  *  *  * |  4  0  0  0  0 0 | 2 2 0 0
x . . x . |  4 |  2  0   2 |  * 96  *  *  * |  1  1  1  0  0 0 | 1 1 1 0
. x . x . |  4 |  0  2   2 |  *  * 96  *  * |  1  0  0  1  1 0 | 1 1 0 1
. . o3x . |  3 |  0  0   3 |  *  *  * 64  * |  0  1  0  1  0 1 | 1 0 1 1
. . . x4o |  4 |  0  0   4 |  *  *  *  * 48 |  0  0  1  0  1 1 | 0 1 1 1
----------+----+-----------+----------------+------------------+--------
x4x . x .  16 |  8  8   8 |  2  4  4  0  0 | 24  *  *  *  * * | 1 1 0 0
x . o3x .   6 |  3  0   6 |  0  3  0  2  0 |  * 32  *  *  * * | 1 0 1 0
x . . x4o   8 |  4  0   8 |  0  4  0  0  2 |  *  * 24  *  * * | 0 1 1 0
. x o3x .   6 |  0  3   6 |  0  0  3  2  0 |  *  *  * 32  * * | 1 0 0 1
. x . x4o   8 |  0  4   8 |  0  0  4  0  2 |  *  *  *  * 24 * | 0 1 0 1
. . o3x4o  12 |  0  0  24 |  0  0  0  8  6 |  *  *  *  *  * 8 | 0 0 1 1
----------+----+-----------+----------------+------------------+--------
x4x o3x .  24 | 12 12  24 |  3 12 12  8  0 |  3  4  0  4  0 0 | 8 * * *
x4x . x4o  32 | 16 16  32 |  4 16 16  0  8 |  4  0  4  0  4 0 | * 6 * *
x . o3x4o  24 | 12  0  48 |  0 24  0 16 12 |  0  8  6  0  0 2 | * * 4 *
. x o3x4o  24 |  0 12  48 |  0  0 24 16 12 |  0  0  0  8  6 2 | * * * 4

x8o x3o3x

. . . . . | 96 |  2  2  2 |  1  4  4  1  2  1 |  2  2  2  4  2 1 | 1 2 1 2
----------+----+----------+-------------------+------------------+--------
x . . . . |  2 | 96  *  * |  1  2  2  0  0  0 |  2  2  1  2  1 0 | 1 2 1 1
. . x . . |  2 |  * 96  * |  0  2  0  1  1  0 |  1  0  2  2  0 1 | 1 1 0 2
. . . . x |  2 |  *  * 96 |  0  0  2  0  1  1 |  0  1  0  2  2 1 | 0 1 1 2
----------+----+----------+-------------------+------------------+--------
x8o . . . |  8 |  8  0  0 | 12  *  *  *  *  * |  2  2  0  0  0 0 | 1 2 1 0
x . x . . |  4 |  2  2  0 |  * 96  *  *  *  * |  1  0  1  1  0 0 | 1 1 0 1
x . . . x |  4 |  2  0  2 |  *  * 96  *  *  * |  0  1  0  1  1 0 | 0 1 1 1
. . x3o . |  3 |  0  3  0 |  *  *  * 32  *  * |  0  0  2  0  0 1 | 1 0 0 2
. . x . x |  4 |  0  2  2 |  *  *  *  * 46  * |  0  0  0  2  0 1 | 0 1 0 2
. . . o3x |  3 |  0  0  3 |  *  *  *  *  * 32 |  0  0  0  0  2 1 | 0 0 1 2
----------+----+----------+-------------------+------------------+--------
x8o x . .  16 | 16  8  0 |  2  8  0  0  0  0 | 12  *  *  *  * * | 1 1 0 0
x8o . . x  16 | 16  0  8 |  2  0  8  0  0  0 |  * 12  *  *  * * | 0 1 1 0
x . x3o .   6 |  3  6  0 |  0  3  0  2  0  0 |  *  * 32  *  * * | 1 0 0 1
x . x . x   8 |  4  4  4 |  0  2  2  0  2  0 |  *  *  * 48  * * | 0 1 0 1
x . . o3x   6 |  3  0  6 |  0  0  3  0  0  2 |  *  *  *  * 32 * | 0 0 1 1
. . x3o3x  12 |  0 12 12 |  0  0  0  4  6  4 |  *  *  *  *  * 8 | 0 0 0 2
----------+----+----------+-------------------+------------------+--------
x8o x3o .  24 | 24 24  0 |  3 24  0  8  0  0 |  3  0  8  0  0 0 | 4 * * *
x8o x . x  32 | 32 16 16 |  4 16 16  0  8  0 |  2  2  0  8  0 0 | * 6 * *
x8o . o3x  24 | 24  0 24 |  3  0 24  0  0  8 |  0  3  0  0  8 0 | * * 4 *
x . x3o3x  24 | 12 24 24 |  0 12 12  8 12  8 |  0  0  4  6  4 2 | * * * 8

x4x x3o3x

. . . . . | 96 |  1  1  2  2 |  1  2  2  2  2  1  2  1 |  2  2  1  2  1  1  2  1 1 | 1 2 1 1 1
----------+----+-------------+-------------------------+---------------------------+----------
x . . . . |  2 | 48  *  *  * |  1  2  2  0  0  0  0  0 |  2  2  1  2  1  0  0  0 0 | 1 2 1 1 0
. x . . . |  2 |  * 48  *  * |  1  0  0  2  2  0  0  0 |  2  2  0  0  0  1  2  1 0 | 1 2 1 0 1
. . x . . |  2 |  *  * 96  * |  0  1  0  1  0  1  1  0 |  1  0  1  1  0  1  1  0 1 | 1 1 0 1 1
. . . . x |  2 |  *  *  * 96 |  0  0  1  0  1  0  1  1 |  0  1  0  1  1  0  1  1 1 | 0 1 1 1 1
----------+----+-------------+-------------------------+---------------------------+----------
x4x . . . |  8 |  4  4  0  0 | 12  *  *  *  *  *  *  * |  2  2  0  0  0  0  0  0 0 | 1 2 1 0 0
x . x . . |  4 |  2  0  2  0 |  * 48  *  *  *  *  *  * |  1  0  1  1  0  0  0  0 0 | 1 1 0 1 0
x . . . x |  4 |  2  0  0  2 |  *  * 48  *  *  *  *  * |  0  1  0  1  1  0  0  0 0 | 0 1 1 1 0
. x x . . |  4 |  0  2  2  0 |  *  *  * 48  *  *  *  * |  1  0  0  0  0  1  1  0 0 | 1 1 0 0 1
. x . . x |  4 |  0  2  0  2 |  *  *  *  * 48  *  *  * |  0  1  0  0  0  0  1  1 0 | 0 1 1 0 1
. . x3o . |  3 |  0  0  3  0 |  *  *  *  *  * 32  *  * |  0  0  1  0  0  1  0  0 1 | 1 0 0 1 1
. . x . x |  4 |  0  0  2  2 |  *  *  *  *  *  * 48  * |  0  0  0  1  0  0  1  0 1 | 0 1 0 1 1
. . . o3x |  3 |  0  0  0  3 |  *  *  *  *  *  *  * 32 |  0  0  0  0  1  0  0  1 1 | 0 0 1 1 1
----------+----+-------------+-------------------------+---------------------------+----------
x4x x . .  16 |  8  8  8  0 |  2  4  0  4  0  0  0  0 | 12  *  *  *  *  *  *  * * | 1 1 0 0 0
x4x . . x  16 |  8  8  0  8 |  2  0  4  0  4  0  0  0 |  * 12  *  *  *  *  *  * * | 0 1 1 0 0
x . x3o .   6 |  3  0  6  0 |  0  3  0  0  0  2  0  0 |  *  * 16  *  *  *  *  * * | 1 0 0 1 0
x . x . x   8 |  4  0  4  4 |  0  2  2  0  0  0  2  0 |  *  *  * 24  *  *  *  * * | 0 1 0 1 0
x . . o3x   6 |  3  0  0  6 |  0  0  3  0  0  0  0  2 |  *  *  *  * 16  *  *  * * | 0 0 1 1 0
. x x3o .   6 |  0  3  6  0 |  0  0  0  3  0  2  0  0 |  *  *  *  *  * 16  *  * * | 1 0 0 0 1
. x x . x   8 |  0  4  4  4 |  0  0  0  2  2  0  2  0 |  *  *  *  *  *  * 24  * * | 0 1 0 0 1
. x . o3x   6 |  0  3  0  6 |  0  0  0  0  3  0  0  2 |  *  *  *  *  *  *  * 16 * | 0 0 1 0 1
. . x3o3x  12 |  0  0 12 12 |  0  0  0  0  0  4  6  4 |  *  *  *  *  *  *  *  * 8 | 0 0 0 1 1
----------+----+-------------+-------------------------+---------------------------+----------
x4x x3o .  24 | 12 12 24  0 |  3 12  0 12  0  8  0  0 |  3  0  4  0  0  4  0  0 0 | 4 * * * *
x4x x . x  32 | 16 16 16 16 |  4  8  8  8  8  0  8  0 |  2  2  0  4  0  0  4  0 0 | * 6 * * *
x4x . o3x  24 | 12 12  0 24 |  3  0 12  0 12  0  0  8 |  0  3  0  0  4  0  0  4 0 | * * 4 * *
x . x3o3x  24 | 12  0 24 24 |  0 12 12  0  0  8 12  8 |  0  0  4  6  4  0  0  0 2 | * * * 4 *
. x x3o3x  24 |  0 12 24 24 |  0  0  0 12 12  8 12  8 |  0  0  0  0  0  4  6  4 2 | * * * * 4

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