Acronym cotoe
Name cuboctahedron - truncated-octahedron duoprism
Circumradius sqrt(7/2) = 1.870829
Volume 80/3 = 26.666667

Incidence matrix according to Dynkin symbol

o3x4o x3x4o

o3o4o o3o4o | 288 |   4   1   2 |   2   2   4   8  2  1 |  1  2   4  2   4   8   4  1 |  1  2  4  2  4  2  4 | 2 1 2 2
------------+-----+-------------+-----------------------+-----------------------------+----------------------+--------
. x . . . . |   2 | 576   *   * |   1   1   1   2  0  0 |  1  1   2  1   2   2   1  0 |  1  2  2  1  2  1  1 | 2 1 1 1
. . . x . . |   2 |   * 144   * |   0   0   4   0  2  0 |  0  2   0  2   0   8   0  1 |  1  0  4  0  4  0  4 | 2 0 2 2
. . . . x . |   2 |   *   * 288 |   0   0   0   4  1  1 |  0  0   2  0   2   4   4  1 |  0  1  2  2  2  2  4 | 1 1 2 2
------------+-----+-------------+-----------------------+-----------------------------+----------------------+--------
o3x . . . . |   3 |   3   0   0 | 192   *   *   *  *  * |  1  1   2  0   0   0   0  0 |  1  2  2  1  0  0  0 | 2 1 1 0
. x4o . . . |   4 |   4   0   0 |   * 144   *   *  *  * |  1  0   0  1   2   0   0  0 |  1  2  0  0  2  1  0 | 2 1 0 1
. x . x . . |   4 |   2   2   0 |   *   * 288   *  *  * |  0  1   0  1   0   2   0  0 |  1  0  2  0  2  0  1 | 2 0 1 1
. x . . x . |   4 |   2   0   2 |   *   *   * 576  *  * |  0  0   1  0   1   1   1  0 |  0  1  1  1  1  1  1 | 1 1 1 1
. . . x3x . |   6 |   0   3   3 |   *   *   *   * 96  * |  0  0   0  0   0   4   0  1 |  0  0  2  0  2  0  4 | 1 0 2 2
. . . . x4o |   4 |   0   0   4 |   *   *   *   *  * 72 |  0  0   0  0   0   0   4  1 |  0  0  0  2  0  2  4 | 0 1 2 2
------------+-----+-------------+-----------------------+-----------------------------+----------------------+--------
o3x4o . . .   12 |  24   0   0 |   8   6   0   0  0  0 | 24  *   *  *   *   *   *  * |  1  2  0  0  0  0  0 | 2 1 0 0
o3x . x . .    6 |   6   3   0 |   2   0   3   0  0  0 |  * 96   *  *   *   *   *  * |  1  0  2  0  0  0  0 | 2 0 1 0
o3x . . x .    6 |   6   0   3 |   2   0   0   3  0  0 |  *  * 192  *   *   *   *  * |  0  1  1  1  0  0  0 | 1 1 1 0
. x4o x . .    8 |   8   4   0 |   0   2   4   0  0  0 |  *  *   * 72   *   *   *  * |  1  0  0  0  2  0  0 | 2 0 0 1
. x4o . x .    8 |   8   0   4 |   0   2   0   4  0  0 |  *  *   *  * 144   *   *  * |  0  1  0  0  1  1  0 | 1 1 0 1
. x . x3x .   12 |   6   6   6 |   0   0   3   3  2  0 |  *  *   *  *   * 192   *  * |  0  0  1  0  1  0  1 | 1 0 1 1
. x . . x4o    8 |   4   0   8 |   0   0   0   4  0  2 |  *  *   *  *   *   * 144  * |  0  0  0  1  0  1  1 | 0 1 1 1
. . . x3x4o   24 |   0  12  24 |   0   0   0   0  8  6 |  *  *   *  *   *   *   * 12 |  0  0  0  0  0  0  4 | 0 0 2 2
------------+-----+-------------+-----------------------+-----------------------------+----------------------+--------
o3x4o x . .   24 |  48  12   0 |  16  12  24   0  0  0 |  2  8   0  6   0   0   0  0 | 12  *  *  *  *  *  * | 2 0 0 0
o3x4o . x .   24 |  48   0  12 |  16  12   0  24  0  0 |  2  0   8  0   6   0   0  0 |  * 24  *  *  *  *  * | 1 1 0 0
o3x . x3x .   18 |  18   9   9 |   6   0   9   9  3  0 |  0  3   3  0   0   3   0  0 |  *  * 64  *  *  *  * | 1 0 1 0
o3x . . x4o   12 |  12   0  12 |   4   0   0  12  0  3 |  0  0   4  0   0   0   3  0 |  *  *  * 48  *  *  * | 0 1 1 0
. x4o x3x .   24 |  24  12  12 |   0   6  12  12  4  0 |  0  0   0  3   3   4   0  0 |  *  *  *  * 48  *  * | 1 0 0 1
. x4o . x4o   16 |  16   0  16 |   0   4   0  16  0  4 |  0  0   0  0   4   0   4  0 |  *  *  *  *  * 36  * | 0 1 0 1
. x . x3x4o   48 |  24  24  48 |   0   0  12  24 16 12 |  0  0   0  0   0   8   6  2 |  *  *  *  *  *  * 24 | 0 0 1 1
------------+-----+-------------+-----------------------+-----------------------------+----------------------+--------
o3x4o x3x .   72 | 144  36  36 |  48  36  72  72 12  0 |  6 24  24 18  18  24   0  0 |  3  3  8  0  6  0  0 | 8 * * *
o3x4o . x4o   48 |  96   0  48 |  32  24   0  96  0 12 |  4  0  32  0  24   0  24  0 |  0  4  0  8  0  6  0 | * 6 * *
o3x . x3x4o   72 |  72  36  72 |  24   0  36  72 24 18 |  0 12  24  0   0  24  18  3 |  0  0  8  6  0  0  3 | * * 8 *
. x4o x3x4o   96 |  96  48  96 |   0  24  48  96 32 24 |  0  0   0 12  24  32  24  4 |  0  0  0  0  8  6  4 | * * * 6

© 2004-2021
top of page