Acronym tetpen Name tetrahedron-pentachoron duoprism,vertex figure of trene Circumradius sqrt(31/40) = 0.880341 Volume sqrt(10)/1152 = 0.0027450

Incidence matrix according to Dynkin symbol

```x3o3o x3o3o3o

. . . . . . . | 20 |  3  4 |  3 12  6 | 1 12 18  4 |  4 18 12 1 |  6 12 3 | 4 3
--------------+----+-------+----------+------------+------------+---------+----
x . . . . . . |  2 | 30  * |  2  4  0 | 1  8  6  0 |  4 12  4 0 |  6  8 1 | 4 2
. . . x . . . |  2 |  * 40 |  0  3  3 | 0  3  9  3 |  1  9  9 1 |  3  9 3 | 3 3
--------------+----+-------+----------+------------+------------+---------+----
x3o . . . . . |  3 |  3  0 | 20  *  * | 1  4  0  0 |  4  6  0 0 |  6  4 0 | 4 1
x . . x . . . |  4 |  2  2 |  * 60  * | 0  2  3  0 |  1  6  3 0 |  3  6 1 | 3 2
. . . x3o . . |  3 |  0  3 |  *  * 40 | 0  0  3  2 |  0  3  6 1 |  1  6 3 | 2 3
--------------+----+-------+----------+------------+------------+---------+----
x3o3o . . . . ♦  4 |  6  0 |  4  0  0 | 5  *  *  * ♦  4  0  0 0 |  6  0 0 | 4 0
x3o . x . . . ♦  6 |  6  3 |  2  3  0 | * 40  *  * |  1  3  0 0 |  3  3 0 | 3 1
x . . x3o . . ♦  6 |  3  6 |  0  3  2 | *  * 60  * |  0  2  2 0 |  1  4 1 | 2 2
. . . x3o3o . ♦  4 |  0  6 |  0  0  4 | *  *  * 20 |  0  0  3 1 |  0  3 3 | 1 3
--------------+----+-------+----------+------------+------------+---------+----
x3o3o x . . . ♦  8 | 12  4 |  8  6  0 | 2  4  0  0 | 10  *  * * |  3  0 0 | 3 0
x3o . x3o . . ♦  9 |  9  9 |  3  9  3 | 0  3  3  0 |  * 40  * * |  1  2 0 | 2 1
x . . x3o3o . ♦  8 |  4 12 |  0  6  8 | 0  0  4  2 |  *  * 30 * |  0  2 1 | 1 2
. . . x3o3o3o ♦  5 |  0 10 |  0  0 10 | 0  0  0  5 |  *  *  * 4 |  0  0 3 | 0 3
--------------+----+-------+----------+------------+------------+---------+----
x3o3o x3o . . ♦ 12 | 18 12 | 12 18  4 | 3 12  6  0 |  3  4  0 0 | 10  * * | 2 0
x3o . x3o3o . ♦ 12 | 12 18 |  4 18 12 | 0  6 12  3 |  0  4  3 0 |  * 20 * | 1 1
x . . x3o3o3o ♦ 10 |  5 20 |  0 10 20 | 0  0 10 10 |  0  0  5 2 |  *  * 6 | 0 2
--------------+----+-------+----------+------------+------------+---------+----
x3o3o x3o3o . ♦ 16 | 24 24 | 16 36 16 | 4 24 24  4 |  6 16  6 0 |  4  4 0 | 5 *
x3o . x3o3o3o ♦ 15 | 15 30 |  5 30 30 | 0 10 30 15 |  0 10 15 3 |  0  5 3 | * 4
```