Acronym oti Name octagon - truncated-icosahedron duoprism Circumradius sqrt[(37+4 sqrt(2)+9 sqrt(5))/8] = 2.801372 Confer n,ti-dip Externallinks

Incidence matrix according to Dynkin symbol

```x8o x3x5o

. . . . . | 480 |   2   1   2 |  1   2   4   2  1 |  1  2   4  2 1 |  2  1 2
----------+-----+-------------+-------------------+----------------+--------
x . . . . |   2 | 480   *   * |  1   1   2   0  0 |  1  2   2  1 0 |  2  1 1
. . x . . |   2 |   * 240   * |  0   2   0   2  0 |  1  0   4  0 1 |  2  0 2
. . . x . |   2 |   *   * 480 |  0   0   2   1  1 |  0  1   2  2 1 |  1  1 2
----------+-----+-------------+-------------------+----------------+--------
x8o . . . |   8 |   8   0   0 | 60   *   *   *  * |  1  2   0  0 0 |  2  1 0
x . x . . |   4 |   2   2   0 |  * 240   *   *  * |  1  0   2  0 0 |  2  0 1
x . . x . |   4 |   2   0   2 |  *   * 480   *  * |  0  1   1  1 0 |  1  1 1
. . x3x . |   6 |   0   3   3 |  *   *   * 160  * |  0  0   2  0 1 |  1  0 2
. . . x5o |   5 |   0   0   5 |  *   *   *   * 96 |  0  0   0  2 1 |  0  1 2
----------+-----+-------------+-------------------+----------------+--------
x8o x . . ♦  16 |  16   8   0 |  2   8   0   0  0 | 30  *   *  * * |  2  0 0
x8o . x . ♦  16 |  16   0   8 |  2   0   8   0  0 |  * 60   *  * * |  1  1 0
x . x3x . ♦  12 |   6   6   6 |  0   3   3   2  0 |  *  * 160  * * |  1  0 1
x . . x5o ♦  10 |   5   0  10 |  0   0   5   0  2 |  *  *   * 96 * |  0  1 1
. . x3x5o ♦  60 |   0  30  60 |  0   0   0  20 12 |  *  *   *  * 8 |  0  0 2
----------+-----+-------------+-------------------+----------------+--------
x8o x3x . ♦  48 |  48  24  24 |  6  24  24   8  0 |  3  3   8  0 0 | 20  * *
x8o . x5o ♦  40 |  40   0  40 |  5   0  40   0  8 |  0  5   0  8 0 |  * 12 *
x . x3x5o ♦ 120 |  60  60 120 |  0  30  60  40 24 |  0  0  20 12 2 |  *  * 8
```

```x4x x3x5o

. . . . . | 480 |   1   1   1   2 |  1   1   2   1   2   2  1 |  1  2  2  1  2  1 1 |  2  1 1 1
----------+-----+-----------------+---------------------------+---------------------+----------
x . . . . |   2 | 240   *   *   * |  1   1   2   0   0   0  0 |  1  2  2  1  0  0 0 |  2  1 1 0
. x . . . |   2 |   * 240   *   * |  1   0   0   1   2   0  0 |  1  2  0  0  2  1 0 |  2  1 0 1
. . x . . |   2 |   *   * 240   * |  0   1   0   1   0   2  0 |  1  0  2  0  2  0 1 |  2  0 1 1
. . . x . |   2 |   *   *   * 480 |  0   0   1   0   1   1  1 |  0  1  1  1  1  1 1 |  1  1 1 1
----------+-----+-----------------+---------------------------+---------------------+----------
x4x . . . |   8 |   4   4   0   0 | 60   *   *   *   *   *  * |  1  2  0  0  0  0 0 |  2  1 0 0
x . x . . |   4 |   2   0   2   0 |  * 120   *   *   *   *  * |  1  0  2  0  0  0 0 |  2  0 1 0
x . . x . |   4 |   2   0   0   2 |  *   * 240   *   *   *  * |  0  1  1  1  0  0 0 |  1  1 1 0
. x x . . |   4 |   0   2   2   0 |  *   *   * 120   *   *  * |  1  0  0  0  2  0 0 |  2  0 0 1
. x . x . |   4 |   0   2   0   2 |  *   *   *   * 240   *  * |  0  1  0  0  1  1 0 |  1  1 0 1
. . x3x . |   6 |   0   0   3   3 |  *   *   *   *   * 160  * |  0  0  1  0  1  0 1 |  1  0 1 1
. . . x5o |   5 |   0   0   0   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 | 30  *  *  *  *  * * |  2  0 0 0
x4x . x . ♦  16 |   8   8   0   8 |  2   0   4   0   4   0  0 |  * 60  *  *  *  * * |  1  1 0 0
x . x3x . ♦  12 |   6   0   6   6 |  0   3   3   0   0   2  0 |  *  * 80  *  *  * * |  1  0 1 0
x . . x5o ♦  10 |   5   0   0  10 |  0   0   5   0   0   0  2 |  *  *  * 48  *  * * |  0  1 1 0
. x x3x . ♦  12 |   0   6   6   6 |  0   0   0   3   3   2  0 |  *  *  *  * 80  * * |  1  0 0 1
. x . x5o ♦  10 |   0   5   0  10 |  0   0   0   0   5   0  2 |  *  *  *  *  * 48 * |  0  1 0 1
. . x3x5o ♦  60 |   0   0  30  60 |  0   0   0   0   0  20 12 |  *  *  *  *  *  * 8 |  0  0 1 1
----------+-----+-----------------+---------------------------+---------------------+----------
x4x x3x . ♦  48 |  24  24  24  24 |  6  12  12  12  12   8  0 |  3  3  4  0  4  0 0 | 20  * * *
x4x . x5o ♦  40 |  20  20   0  40 |  5   0  20   0  20   0  8 |  0  5  0  4  0  4 0 |  * 12 * *
x . x3x5o ♦ 120 |  60   0  60 120 |  0  30  60   0   0  40 24 |  0  0 20 12  0  0 2 |  *  * 4 *
. x x3x5o ♦ 120 |   0  60  60 120 |  0   0   0  30  60  40 24 |  0  0  0  0 20 12 2 |  *  * * 4
```