Acronym trex Name triangle - hexacosachoron duoprism Circumradius sqrt[(11+3 sqrt(5))/6] = 1.717954 Confer n,ex-dip

Incidence matrix according to Dynkin symbol

```x3o x3o3o5o

. . . . . . | 360 |   2   12 |   1   24   30 |  12   60   20 |   30   40 1 |  20 2
------------+-----+----------+---------------+---------------+-------------+------
x . . . . . |   2 | 360    * |   1   12    0 |  12   30    0 |   30   20 0 |  20 1
. . x . . . |   2 |   * 2160 |   0    2    5 |   1   10    5 |    5   10 1 |   5 2
------------+-----+----------+---------------+---------------+-------------+------
x3o . . . . |   3 |   3    0 | 120    *    * ♦  12    0    0 |   30    0 0 |  20 0
x . x . . . |   4 |   2    2 |   * 2160    * |   1    5    0 |    5    5 0 |   5 1
. . x3o . . |   3 |   0    3 |   *    * 3600 |   0    2    2 |    1    4 1 |   2 2
------------+-----+----------+---------------+---------------+-------------+------
x3o x . . . ♦   6 |   6    3 |   2    3    0 | 720    *    * |    5    0 0 |   5 0
x . x3o . . ♦   6 |   3    6 |   0    3    2 |   * 3600    * |    1    2 0 |   2 1
. . x3o3o . ♦   4 |   0    6 |   0    0    4 |   *    * 1800 |    0    2 1 |   1 2
------------+-----+----------+---------------+---------------+-------------+------
x3o x3o . . ♦   9 |   9    9 |   3    9    3 |   3    3    0 | 1200    * * |   2 0
x . x3o3o . ♦   8 |   4   12 |   0    6    8 |   0    4    2 |    * 1800 * |   1 1
. . x3o3o5o ♦ 120 |   0  720 |   0    0 1200 |   0    0  600 |    *    * 3 |   0 2
------------+-----+----------+---------------+---------------+-------------+------
x3o x3o3o . ♦  12 |  12   18 |   4   18   12 |   6   12    3 |    4    3 0 | 600 *
x . x3o3o5o ♦ 240 | 120 1440 |   0  720 2400 |   0 1200 1200 |    0  600 2 |   * 3
```