Acronym	duhd
Name	decahemidecachoron, copyropodichoron
Cross sections	©
Circumradius	1
Inradius wrt. tet	sqrt(5/8) = 0.790569
Inradius wrt. 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°
Face vector	20, 60, 50, 15
Confer	general polytopal classes: Wythoffian polychora   analogs: retroexpanded simplex reSn
External links

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