Acronym tratut Name triangle truncated-tetrahedron duoprism Circumradius sqrt(41/24) = 1.307032 Confer n,tut-dip

Incidence matrix according to Dynkin symbol

```x3o x3x3o

. . . . . | 36 |  2  1  2 |  1  2  4  2  1 | 1  2  4  2 1 | 2 1 2
----------+----+----------+----------------+--------------+------
x . . . . |  2 | 36  *  * |  1  1  2  0  0 | 1  2  2  1 0 | 2 1 1
. . x . . |  2 |  * 18  * |  0  2  0  2  0 | 1  0  4  0 1 | 2 0 2
. . . x . |  2 |  *  * 36 |  0  0  2  1  1 | 0  1  2  2 1 | 1 1 2
----------+----+----------+----------------+--------------+------
x3o . . . |  3 |  3  0  0 | 12  *  *  *  * | 1  2  0  0 0 | 2 1 0
x . x . . |  4 |  2  2  0 |  * 18  *  *  * | 1  0  2  0 0 | 2 0 1
x . . x . |  4 |  2  0  2 |  *  * 36  *  * | 0  1  1  1 0 | 1 1 1
. . x3x . |  6 |  0  3  3 |  *  *  * 12  * | 0  0  2  0 1 | 1 0 2
. . . x3o |  3 |  0  0  3 |  *  *  *  * 12 | 0  0  0  2 1 | 0 1 2
----------+----+----------+----------------+--------------+------
x3o x . . ♦  6 |  6  3  0 |  2  3  0  0  0 | 6  *  *  * * | 2 0 0
x3o . x . ♦  6 |  6  0  3 |  2  0  3  0  0 | * 12  *  * * | 1 1 0
x . x3x . ♦ 12 |  6  6  6 |  0  3  3  2  0 | *  * 12  * * | 1 0 1
x . . x3o ♦  6 |  3  0  6 |  0  0  3  0  2 | *  *  * 12 * | 0 1 1
. . x3x3o ♦ 12 |  0  6 12 |  0  0  0  4  4 | *  *  *  * 3 | 0 0 2
----------+----+----------+----------------+--------------+------
x3o x3x . ♦ 18 | 18  9  9 |  6  9  9  3  0 | 3  3  3  0 0 | 4 * *
x3o . x3o ♦  9 |  9  0  9 |  3  0  9  0  3 | 0  3  0  3 0 | * 4 *
x . x3x3o ♦ 24 | 12 12 24 |  0  6 12  8  8 | 0  0  4  4 2 | * * 3
```