Acronym duhd Name decahemidecachoron,copyropodichoron Cross sections ` ©` Circumradius 1 Inradiuswrt. tet sqrt(5/8) = 0.790569 Inradiuswrt. oho 0 General of army spid Colonel of regiment spid Volume 5 sqrt(5)/8 = 0.232924 Surface 5 sqrt(2)/6 = 1.178511 Dihedral angles (at margins) at {3} between oho and tet:   arccos(1/4) = 75.522488° at {6} between oho and oho:   arccos(1/4) = 75.522488° Confer analogs: retroexpanded simplex reSn Externallinks

When introducing a further vertex at the center and making face intersections into true edges, duhd would become an edge connected shape from 10 pentachora, just as oho itself became thus an edge connected shape from 8 tetrahedra in turn.

Incidence matrix according to Dynkin symbol

```o3o3x3x3/2*b

. . . .      | 20 |  3  3 |  3  3  3 | 1 1 3
-------------+----+-------+----------+------
. . x .      |  2 | 30  * |  2  0  1 | 1 0 2
. . . x      |  2 |  * 30 |  0  2  1 | 0 1 2
-------------+----+-------+----------+------
. o3x .      |  3 |  3  0 | 20  *  * | 1 0 1
. o . x3/2*b |  3 |  0  3 |  * 20  * | 0 1 1
. . x3x      |  6 |  3  3 |  *  * 10 | 0 0 2
-------------+----+-------+----------+------
o3o3x .      ♦  4 |  6  0 |  4  0  0 | 5 * *
o3o . x3/2*b ♦  4 |  0  6 |  0  4  0 | * 5 *
. o3x3x3/2*b ♦ 12 | 12 12 |  4  4  4 | * * 5
```

```o3/2o3x3x3/2*b

.   . . .      | 20 |  3  3 |  3  3  3 | 1 1 3
---------------+----+-------+----------+------
.   . x .      |  2 | 30  * |  2  0  1 | 1 0 2
.   . . x      |  2 |  * 30 |  0  2  1 | 0 1 2
---------------+----+-------+----------+------
.   o3x .      |  3 |  3  0 | 20  *  * | 1 0 1
.   o . x3/2*b |  3 |  0  3 |  * 20  * | 0 1 1
.   . x3x      |  6 |  3  3 |  *  * 10 | 0 0 2
---------------+----+-------+----------+------
o3/2o3x .      ♦  4 |  6  0 |  4  0  0 | 5 * *
o3/2o . x3/2*b ♦  4 |  0  6 |  0  4  0 | * 5 *
.   o3x3x3/2*b ♦ 12 | 12 12 |  4  4  4 | * * 5
```