Acronym dehad Name dodecahemidodecateron Field of sections ` ©` Circumradius 1 Inradiuswrt. pen sqrt(3/5) = 0.774597 Inradiuswrt. duhd 0 Vertex figure ` ©` General of army scad Colonel of regiment scad Volume 0 Surface 31 sqrt(5)/8 = 8.664763 Dihedral angles (at margins) at oho between duhd and duhd:   arccos(1/5) = 78.463041° at tet between duhd and pen:   arccos(1/5) = 78.463041° Confer analogs: retroexpanded simplex reSn Externallinks

Incidence matrix according to Dynkin symbol

```o3o3o3x3x3/2*c

. . . . .      | 30 |  4  4 |  6  6  4 |  4  4  6 | 1 1 4
---------------+----+-------+----------+----------+------
. . . x .      |  2 | 60  * |  3  0  1 |  3  0  3 | 1 0 3
. . . . x      |  2 |  * 60 |  0  3  1 |  0  3  3 | 0 1 3
---------------+----+-------+----------+----------+------
. . o3x .      |  3 |  3  0 | 60  *  * |  2  0  1 | 1 0 2
. . o . x3/2*c |  3 |  0  3 |  * 60  * |  0  2  1 | 0 1 2
. . . x3x      |  6 |  3  3 |  *  * 20 |  0  0  3 | 0 0 3
---------------+----+-------+----------+----------+------
. o3o3x .      ♦  4 |  6  0 |  4  0  0 | 30  *  * | 1 0 1
. o3o . x3/2*c ♦  4 |  0  6 |  0  4  0 |  * 30  * | 0 1 1
. . o3x3x3/2*c ♦ 12 | 12 12 |  4  4  4 |  *  * 15 | 0 0 2
---------------+----+-------+----------+----------+------
o3o3o3x .      ♦  5 | 10  0 | 10  0  0 |  5  0  0 | 6 * *
o3o3o . x3/2*c ♦  5 |  0 10 |  0 10  0 |  0  5  0 | * 6 *
. o3o3x3x3/2*c ♦ 20 | 30 30 | 20 20 10 |  5  5  5 | * * 6
```