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)  
Confer 

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
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