Acronym otid
Name octagon - truncated-dodecahedron duoprism
Circumradius sqrt[(45+4 sqrt(2)+15 sqrt(5))/8] = 3.244185
Confer n,tid-dip  

Incidence matrix according to Dynkin symbol

x8o o3x5x

. . . . . | 480 |   2   2   1 |  1   4   2   1  2 |  2  1   2  4 1 |  1  2 2
----------+-----+-------------+-------------------+----------------+--------
x . . . . |   2 | 480   *   * |  1   2   1   0  0 |  2  1   1  2 0 |  1  2 1
. . . x . |   2 |   * 480   * |  0   2   0   1  1 |  1  0   2  2 1 |  1  1 2
. . . . x |   2 |   *   * 240 |  0   0   2   0  2 |  0  1   0  4 1 |  0  2 2
----------+-----+-------------+-------------------+----------------+--------
x8o . . . |   8 |   8   0   0 | 60   *   *   *  * |  2  1   0  0 0 |  1  2 0
x . . x . |   4 |   2   2   0 |  * 480   *   *  * |  1  0   1  1 0 |  1  1 1
x . . . x |   4 |   2   0   2 |  *   * 240   *  * |  0  1   0  2 0 |  0  2 1
. . o3x . |   3 |   0   3   0 |  *   *   * 160  * |  0  0   2  0 1 |  1  0 2
. . . x5x |  10 |   0   5   5 |  *   *   *   * 96 |  0  0   0  2 1 |  0  1 2
----------+-----+-------------+-------------------+----------------+--------
x8o . x .   16 |  16   8   0 |  2   8   0   0  0 | 60  *   *  * * |  1  1 0
x8o . . x   16 |  16   0   8 |  2   0   8   0  0 |  * 30   *  * * |  0  2 0
x . o3x .    6 |   3   6   0 |  0   3   0   2  0 |  *  * 160  * * |  1  0 1
x . . x5x   20 |  10  10  10 |  0   5   5   0  2 |  *  *   * 96 * |  0  1 1
. . o3x5x   60 |   0  60  30 |  0   0   0  20 12 |  *  *   *  * 8 |  0  0 2
----------+-----+-------------+-------------------+----------------+--------
x8o o3x .   24 |  24  24   0 |  3  24   0   8  0 |  3  0   8  0 0 | 20  * *
x8o . x5x   80 |  80  40  40 | 10  40  40   0  8 |  5  5   0  8 0 |  * 12 *
x . o3x5x  120 |  60 120  60 |  0  60  30  40 24 |  0  0  20 12 2 |  *  * 8

x4x o3x5x

. . . . . | 480 |   1   1   2   1 |  1   2   1   2   1   1  2 |  2  1  1  2  1  2 1 |  1  2 1 1
----------+-----+-----------------+---------------------------+---------------------+----------
x . . . . |   2 | 240   *   *   * |  1   2   1   0   0   0  0 |  2  1  1  2  0  0 0 |  1  2 1 0
. x . . . |   2 |   * 240   *   * |  1   0   0   2   1   0  0 |  2  1  0  0  1  2 0 |  1  2 0 1
. . . x . |   2 |   *   * 480   * |  0   1   0   1   0   1  1 |  1  0  1  1  1  1 1 |  1  1 1 1
. . . . x |   2 |   *   *   * 240 |  0   0   1   0   1   0  2 |  0  1  0  2  0  2 1 |  0  2 1 1
----------+-----+-----------------+---------------------------+---------------------+----------
x4x . . . |   8 |   4   4   0   0 | 60   *   *   *   *   *  * |  2  1  0  0  0  0 0 |  1  2 0 0
x . . x . |   4 |   2   0   2   0 |  * 240   *   *   *   *  * |  1  0  1  1  0  0 0 |  1  1 1 0
x . . . x |   4 |   2   0   0   2 |  *   * 120   *   *   *  * |  0  1  0  2  0  0 0 |  0  2 1 0
. x . x . |   4 |   0   2   2   0 |  *   *   * 240   *   *  * |  1  0  0  0  1  1 0 |  1  1 0 1
. x . . x |   4 |   0   2   0   2 |  *   *   *   * 120   *  * |  0  1  0  0  0  2 0 |  0  2 0 1
. . o3x . |   3 |   0   0   3   0 |  *   *   *   *   * 160  * |  0  0  1  0  1  0 1 |  1  0 1 1
. . . x5x |  10 |   0   0   5   5 |  *   *   *   *   *   * 96 |  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 | 60  *  *  *  *  * * |  1  1 0 0
x4x . . x   16 |   8   8   0   8 |  2   0   4   0   4   0  0 |  * 30  *  *  *  * * |  0  2 0 0
x . o3x .    6 |   3   0   6   0 |  0   3   0   0   0   2  0 |  *  * 80  *  *  * * |  1  0 1 0
x . . x5x   20 |  10   0  10  10 |  0   5   5   0   0   0  2 |  *  *  * 48  *  * * |  0  1 1 0
. x o3x .    6 |   0   3   6   0 |  0   0   0   3   0   2  0 |  *  *  *  * 80  * * |  1  0 0 1
. x . x5x   20 |   0  10  10  10 |  0   0   0   5   5   0  2 |  *  *  *  *  * 48 * |  0  1 0 1
. . o3x5x   60 |   0   0  60  30 |  0   0   0   0   0  20 12 |  *  *  *  *  *  * 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 | 20  * * *
x4x . x5x   80 |  40  40  40  40 | 10  20  20  20  20   0  8 |  5  5  0  4  0  4 0 |  * 12 * *
x . o3x5x  120 |  60   0 120  60 |  0  60  30   0   0  40 24 |  0  0 20 12  0  0 2 |  *  * 4 *
. x o3x5x  120 |   0  60 120  60 |  0   0   0  60  30  40 24 |  0  0  0  0 20 12 2 |  *  * * 4

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