Acronym otic (old: ottic)
Name octagon - truncated-cube duoprism
Circumradius sqrt[11+6 sqrt(2)]/2 = 2.207107
Volume 14[7+5 sqrt(2)]/3 = 65.664983
Face vector 192, 480, 424, 156, 22
Confer
more general:
n,tic-dip  
general polytopal classes:
Wythoffian polytera  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x8o o3x4x

. . . . . | 192 |   2   2  1 |  1   4  2  1  2 |  2  1  2  4 1 | 1 2 2
----------+-----+------------+-----------------+---------------+------
x . . . . |   2 | 192   *  * |  1   2  1  0  0 |  2  1  1  2 0 | 1 2 1
. . . x . |   2 |   * 192  * |  0   2  0  1  1 |  1  0  2  2 1 | 1 1 2
. . . . x |   2 |   *   * 96 |  0   0  2  0  2 |  0  1  0  4 1 | 0 2 2
----------+-----+------------+-----------------+---------------+------
x8o . . . |   8 |   8   0  0 | 24   *  *  *  * |  2  1  0  0 0 | 1 2 0
x . . x . |   4 |   2   2  0 |  * 192  *  *  * |  1  0  1  1 0 | 1 1 1
x . . . x |   4 |   2   0  2 |  *   * 96  *  * |  0  1  0  2 0 | 0 2 1
. . o3x . |   3 |   0   3  0 |  *   *  * 64  * |  0  0  2  0 1 | 1 0 2
. . . x4x |   8 |   0   4  4 |  *   *  *  * 48 |  0  0  0  2 1 | 0 1 2
----------+-----+------------+-----------------+---------------+------
x8o . x .   16 |  16   8  0 |  2   8  0  0  0 | 24  *  *  * * | 1 1 0
x8o . . x   16 |  16   0  8 |  2   0  8  0  0 |  * 12  *  * * | 0 2 0
x . o3x .    6 |   3   6  0 |  0   3  0  2  0 |  *  * 64  * * | 1 0 1
x . . x4x   16 |   8   8  8 |  0   4  4  0  2 |  *  *  * 48 * | 0 1 1
. . o3x4x   24 |   0  24 12 |  0   0  0  8  6 |  *  *  *  * 8 | 0 0 2
----------+-----+------------+-----------------+---------------+------
x8o o3x .   24 |  24  24  0 |  3  24  0  8  0 |  3  0  8  0 0 | 8 * *
x8o . x4x   64 |  64  32 32 |  8  32 32  0  8 |  4  4  0  8 0 | * 6 *
x . o3x4x   48 |  24  48 24 |  0  24 12 16 12 |  0  0  8  6 2 | * * 8

x4x o3x4x

. . . . . | 192 |  1  1   2  1 |  1  2  1  2  1  1  2 |  2  1  1  2  1  2 1 | 1 2 1 1
----------+-----+--------------+----------------------+---------------------+--------
x . . . . |   2 | 96  *   *  * |  1  2  1  0  0  0  0 |  2  1  1  2  0  0 0 | 1 2 1 0
. x . . . |   2 |  * 96   *  * |  1  0  0  2  1  0  0 |  2  1  0  0  1  2 0 | 1 2 0 1
. . . x . |   2 |  *  * 192  * |  0  1  0  1  0  1  1 |  1  0  1  1  1  1 1 | 1 1 1 1
. . . . x |   2 |  *  *   * 96 |  0  0  1  0  1  0  2 |  0  1  0  2  0  2 1 | 0 2 1 1
----------+-----+--------------+----------------------+---------------------+--------
x4x . . . |   8 |  4  4   0  0 | 24  *  *  *  *  *  * |  2  1  0  0  0  0 0 | 1 2 0 0
x . . x . |   4 |  2  0   2  0 |  * 96  *  *  *  *  * |  1  0  1  1  0  0 0 | 1 1 1 0
x . . . x |   4 |  2  0   0  2 |  *  * 48  *  *  *  * |  0  1  0  2  0  0 0 | 0 2 1 0
. x . x . |   4 |  0  2   2  0 |  *  *  * 96  *  *  * |  1  0  0  0  1  1 0 | 1 1 0 1
. x . . x |   4 |  0  2   0  2 |  *  *  *  * 48  *  * |  0  1  0  0  0  2 0 | 0 2 0 1
. . o3x . |   3 |  0  0   3  0 |  *  *  *  *  * 64  * |  0  0  1  0  1  0 1 | 1 0 1 1
. . . x4x |   8 |  0  0   4  4 |  *  *  *  *  *  * 48 |  0  0  0  1  0  1 1 | 0 1 1 1
----------+-----+--------------+----------------------+---------------------+--------
x4x . x .   16 |  8  8   8  0 |  2  4  0  4  0  0  0 | 24  *  *  *  *  * * | 1 1 0 0
x4x . . x   16 |  8  8   0  8 |  2  0  4  0  4  0  0 |  * 12  *  *  *  * * | 0 2 0 0
x . o3x .    6 |  3  0   6  0 |  0  3  0  0  0  2  0 |  *  * 32  *  *  * * | 1 0 1 0
x . . x4x   16 |  8  0   8  8 |  0  4  4  0  0  0  2 |  *  *  * 24  *  * * | 0 1 1 0
. x o3x .    6 |  0  3   6  0 |  0  0  0  3  0  2  0 |  *  *  *  * 32  * * | 1 0 0 1
. x . x4x   16 |  0  8   8  8 |  0  0  0  4  4  0  2 |  *  *  *  *  * 24 * | 0 1 0 1
. . o3x4x   24 |  0  0  24 12 |  0  0  0  0  0  8  6 |  *  *  *  *  *  * 8 | 0 0 1 1
----------+-----+--------------+----------------------+---------------------+--------
x4x o3x .   24 | 12 12  24  0 |  3 12  0 12  0  8  0 |  3  0  4  0  4  0 0 | 8 * * *
x4x . x4x   64 | 32 32  32 32 |  8 16 16 16 16  0  8 |  4  4  0  4  0  4 0 | * 6 * *
x . o3x4x   48 | 24  0  48 24 |  0 24 12  0  0 16 12 |  0  0  8  6  0  0 2 | * * 4 *
. x o3x4x   48 |  0 24  48 24 |  0  0  0 24 12 16 12 |  0  0  0  0  8  6 2 | * * * 4

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