Acronym tratac Name triangle - triacontiditeron duoprism Circumradius sqrt(4/3) = 1.154701

Incidence matrix according to Dynkin symbol

```x3o x3o3o3o4o

. . . . . . . | 30 |  2   8 |  1  16  24 |  8  48  32 | 24  64 16 | 32 16 1 | 16 2
--------------+----+--------+------------+------------+-----------+---------+-----
x . . . . . . |  2 | 30   * |  1   8   0 |  8  24   0 | 24  32  0 | 32 16 0 | 16 1
. . x . . . . |  2 |  * 120 |  0   2   6 |  1  12  12 |  6  24  8 | 12 16 1 |  8 2
--------------+----+--------+------------+------------+-----------+---------+-----
x3o . . . . . |  3 |  3   0 | 10   *   * ♦  8   0   0 | 24   0  0 | 32  0 0 | 16 0
x . x . . . . |  4 |  2   2 |  * 120   * |  1   6   0 |  6  12  0 | 12  8 0 |  8 1
. . x3o . . . |  3 |  0   3 |  *   * 240 |  0   2   4 |  1   8  4 |  4  8 1 |  4 2
--------------+----+--------+------------+------------+-----------+---------+-----
x3o x . . . . ♦  6 |  6   3 |  2   3   0 | 40   *   * ♦  6   0  0 | 12  0 0 |  8 0
x . x3o . . . ♦  6 |  3   6 |  0   3   2 |  * 240   * |  1   4  0 |  4  4 0 |  4 1
. . x3o3o . . ♦  4 |  0   6 |  0   0   4 |  *   * 240 |  0   2  2 |  1  4 1 |  2 2
--------------+----+--------+------------+------------+-----------+---------+-----
x3o x3o . . . ♦  9 |  9   9 |  3   9   3 |  3   3   0 | 80   *  * |  4  0 0 |  4 0
x . x3o3o . . ♦  8 |  4  12 |  0   6   8 |  0   4   2 |  * 240  * |  1  2 0 |  2 1
. . x3o3o3o . ♦  5 |  0  10 |  0   0  10 |  0   0   5 |  *   * 96 |  0  2 1 |  1 2
--------------+----+--------+------------+------------+-----------+---------+-----
x3o x3o3o . . ♦ 12 | 12  18 |  4  18  12 |  6  12   3 |  4   3  0 | 80  * * |  2 0
x . x3o3o3o . ♦ 10 |  5  20 |  0  10  20 |  0  10  10 |  0   5  2 |  * 96 * |  1 1
. . x3o3o3o4o ♦ 10 |  0  40 |  0   0  80 |  0   0  80 |  0   0 32 |  *  * 3 |  0 2
--------------+----+--------+------------+------------+-----------+---------+-----
x3o x3o3o3o . ♦ 15 | 15  30 |  5  30  30 | 10  30  15 | 10  15  3 |  5  3 0 | 32 *
x . x3o3o3o4o ♦ 20 | 10  80 |  0  40 160 |  0  80 160 |  0  80 64 |  0 32 2 |  * 3
```

```x3o o3o3o *d3o3x

. . . . .    . . | 30 |  2   8 |  1  16  24 |  8  48  32 | 24  64  8  8 | 32  8  8 1 |  8  8 2
-----------------+----+--------+------------+------------+--------------+------------+--------
x . . . .    . . |  2 | 30   * |  1   8   0 |  8  24   0 | 24  32  0  0 | 32  8  8 0 |  8  8 1
. . . . .    . x |  2 |  * 120 |  0   2   6 |  1  12  12 |  6  24  4  4 | 12  8  8 1 |  4  4 2
-----------------+----+--------+------------+------------+--------------+------------+--------
x3o . . .    . . |  3 |  3   0 | 10   *   * ♦  8   0   0 | 24   0  0  0 | 32  0  0 0 |  8  8 0
x . . . .    . x |  4 |  2   2 |  * 120   * |  1   6   0 |  6  12  0  0 | 12  4  4 0 |  4  4 1
. . . . .    o3x |  3 |  0   3 |  *   * 240 |  0   2   4 |  1   8  2  2 |  4  4  4 1 |  2  2 2
-----------------+----+--------+------------+------------+--------------+------------+--------
x3o . . .    . x ♦  6 |  6   3 |  2   3   0 | 40   *   * ♦  6   0  0  0 | 12  0  0 0 |  4  4 0
x . . . .    o3x ♦  6 |  3   6 |  0   3   2 |  * 240   * |  1   4  0  0 |  4  2  2 0 |  2  2 1
. . . o . *d3o3x ♦  4 |  0   6 |  0   0   4 |  *   * 240 |  0   2  1  1 |  1  2  2 1 |  1  1 2
-----------------+----+--------+------------+------------+--------------+------------+--------
x3o . . .    o3x ♦  9 |  9   9 |  3   9   3 |  3   3   0 | 80   *  *  * |  4  0  0 0 |  2  2 0
x . . o . *d3o3x ♦  8 |  4  12 |  0   6   8 |  0   4   2 |  * 240  *  * |  1  1  1 0 |  1  1 1
. . o3o . *d3o3x ♦  5 |  0  10 |  0   0  10 |  0   0   5 |  *   * 48  * |  0  2  0 1 |  1  0 2
. . . o3o *d3o3x ♦  5 |  0  10 |  0   0  10 |  0   0   5 |  *   *  * 48 |  0  0  2 1 |  0  1 2
-----------------+----+--------+------------+------------+--------------+------------+--------
x3o . o . *d3o3x ♦ 12 | 12  18 |  4  18  12 |  6  12   3 |  4   3  0  0 | 80  *  * * |  1  1 0
x . o3o . *d3o3x ♦ 10 |  5  20 |  0  10  20 |  0  10  10 |  0   5  2  0 |  * 48  * * |  1  0 1
x .   o3o *d3o3x ♦ 10 |  5  20 |  0  10  20 |  0  10  10 |  0   5  0  2 |  *  * 48 * |  0  1 1
. . o3o3o *d3o3x ♦ 10 |  0  40 |  0   0  80 |  0   0  80 |  0   0 16 16 |  *  *  * 3 |  0  0 2
-----------------+----+--------+------------+------------+--------------+------------+--------
x3o o3o . *d3o3x ♦ 15 | 15  30 |  5  30  30 | 10  30  15 | 10  15  3  0 |  5  3  0 0 | 16  * *
x3o   o3o *d3o3x ♦ 15 | 15  30 |  5  30  30 | 10  30  15 | 10  15  0  3 |  5  0  3 0 |  * 16 *
x . o3o3o *d3o3x ♦ 20 | 10  80 |  0  40 160 |  0  80 160 |  0  80 32 32 |  0 16 16 2 |  *  * 3
```