Acronym osirco
Name octagon small-rhombicuboctahedron duoprism
Circumradius sqrt(2) + 1/2 = 1.914214

Incidence matrix according to Dynkin symbol

x8o x3o4x

. . . . . | 192 |   2   2   2 |  1   4   4  1  2  1 |  2  2  2  4  2 1 | 1 2  1 2
----------+-----+-------------+---------------------+------------------+---------
x . . . . |   2 | 192   *   * |  1   2   2  0  0  0 |  2  2  1  2  1 0 | 1 2  1 1
. . x . . |   2 |   * 192   * |  0   2   0  1  1  0 |  1  0  2  2  0 1 | 1 1  0 2
. . . . x |   2 |   *   * 192 |  0   0   2  0  1  1 |  0  1  0  2  2 1 | 0 1  1 2
----------+-----+-------------+---------------------+------------------+---------
x8o . . . |   8 |   8   0   0 | 24   *   *  *  *  * |  2  2  0  0  0 0 | 1 2  1 0
x . x . . |   4 |   2   2   0 |  * 192   *  *  *  * |  1  0  1  1  0 0 | 1 1  0 1
x . . . x |   4 |   2   0   2 |  *   * 192  *  *  * |  0  1  0  1  1 0 | 0 1  1 1
. . x3o . |   3 |   0   3   0 |  *   *   * 64  *  * |  0  0  2  0  0 1 | 1 0  0 2
. . x . x |   4 |   0   2   2 |  *   *   *  * 96  * |  0  0  0  2  0 1 | 0 1  0 2
. . . o4x |   4 |   0   0   4 |  *   *   *  *  * 48 |  0  0  0  0  2 1 | 0 0  1 2
----------+-----+-------------+---------------------+------------------+---------
x8o x . .   16 |  16   8   0 |  2   8   0  0  0  0 | 24  *  *  *  * * | 1 1  0 0
x8o . . x   16 |  16   0   8 |  2   0   8  0  0  0 |  * 24  *  *  * * | 0 1  1 0
x . x3o .    6 |   3   6   0 |  0   3   0  2  0  0 |  *  * 64  *  * * | 1 0  0 1
x . x . x    8 |   4   4   4 |  0   2   2  0  2  0 |  *  *  * 96  * * | 0 1  0 1
x . . o4x    8 |   4   0   8 |  0   0   4  0  0  2 |  *  *  *  * 48 * | 0 0  1 1
. . x3o4x   24 |   0  24  24 |  0   0   0  8 12  6 |  *  *  *  *  * 8 | 0 0  0 2
----------+-----+-------------+---------------------+------------------+---------
x8o x3o .   24 |  24  24   0 |  3  24   0  8  0  0 |  3  0  8  0  0 0 | 8 *  * *
x8o x . x   32 |  32  16  16 |  4  16  16  0  8  0 |  2  2  0  8  0 0 | * 12 * *
x8o . o4x   32 |  32   0  32 |  4   0  32  0  0  8 |  0  4  0  0  8 0 | *  * 6 *
x . x3o4x   48 |  24  48  48 |  0  24  24 16 24 12 |  0  0  8 12  6 2 | *  * * 8

x4x x3o4x

. . . . . | 192 |  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 | 96  *   *   * |  1  2  2  0  0  0  0  0 |  2  2  1  2  1  0  0  0 0 | 1  2 1 1 0
. x . . . |   2 |  * 96   *   * |  1  0  0  2  2  0  0  0 |  2  2  0  0  0  1  2  1 0 | 1  2 1 0 1
. . x . . |   2 |  *  * 192   * |  0  1  0  1  0  1  1  0 |  1  0  1  1  0  1  1  0 1 | 1  1 0 1 1
. . . . x |   2 |  *  *   * 192 |  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 | 24  *  *  *  *  *  *  * |  2  2  0  0  0  0  0  0 0 | 1  2 1 0 0
x . x . . |   4 |  2  0   2   0 |  * 96  *  *  *  *  *  * |  1  0  1  1  0  0  0  0 0 | 1  1 0 1 0
x . . . x |   4 |  2  0   0   2 |  *  * 96  *  *  *  *  * |  0  1  0  1  1  0  0  0 0 | 0  1 1 1 0
. x x . . |   4 |  0  2   2   0 |  *  *  * 96  *  *  *  * |  1  0  0  0  0  1  1  0 0 | 1  1 0 0 1
. x . . x |   4 |  0  2   0   2 |  *  *  *  * 96  *  *  * |  0  1  0  0  0  0  1  1 0 | 0  1 1 0 1
. . x3o . |   3 |  0  0   3   0 |  *  *  *  *  * 64  *  * |  0  0  1  0  0  1  0  0 1 | 1  0 0 1 1
. . x . x |   4 |  0  0   2   2 |  *  *  *  *  *  * 96  * |  0  0  0  1  0  0  1  0 1 | 0  1 0 1 1
. . . o4x |   4 |  0  0   0   4 |  *  *  *  *  *  *  * 48 |  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 | 24  *  *  *  *  *  *  * * | 1  1 0 0 0
x4x . . x   16 |  8  8   0   8 |  2  0  4  0  4  0  0  0 |  * 24  *  *  *  *  *  * * | 0  1 1 0 0
x . x3o .    6 |  3  0   6   0 |  0  3  0  0  0  2  0  0 |  *  * 32  *  *  *  *  * * | 1  0 0 1 0
x . x . x    8 |  4  0   4   4 |  0  2  2  0  0  0  2  0 |  *  *  * 48  *  *  *  * * | 0  1 0 1 0
x . . o4x    8 |  4  0   0   8 |  0  0  4  0  0  0  0  2 |  *  *  *  * 24  *  *  * * | 0  0 1 1 0
. x x3o .    6 |  0  3   6   0 |  0  0  0  3  0  2  0  0 |  *  *  *  *  * 32  *  * * | 1  0 0 0 1
. x x . x    8 |  0  4   4   4 |  0  0  0  2  2  0  2  0 |  *  *  *  *  *  * 48  * * | 0  1 0 0 1
. x . o4x    8 |  0  4   0   8 |  0  0  0  0  4  0  0  2 |  *  *  *  *  *  *  * 24 * | 0  0 1 0 1
. . x3o4x   24 |  0  0  24  24 |  0  0  0  0  0  8 12  6 |  *  *  *  *  *  *  *  * 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 | 8  * * * *
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 | * 12 * * *
x4x . o4x   32 | 16 16   0  32 |  4  0 16  0 16  0  0  8 |  0  4  0  0  4  0  0  4 0 | *  * 6 * *
x . x3o4x   48 | 24  0  48  48 |  0 24 24  0  0 16 24 12 |  0  0  8 12  6  0  0  0 2 | *  * * 4 *
. x x3o4x   48 |  0 24  48  48 |  0  0  0 24 24 16 24 12 |  0  0  0  0  0  8 12  6 2 | *  * * * 4

© 2004-2019
top of page