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°
Confer
analogs:
retroexpanded simplex reSn  
External
links
hedrondude   polytopewiki   WikiChoron

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

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