Acronym sted
Name stellated decachoron,
compound of 2 pen
Coxeter symbol [2{3,3,3}]{3;3;3}
Circumradius sqrt(2/5) = 0.632456
Inradius 1/sqrt(40) = 0.158114
General of army o3m3m3o
Colonel of regiment (is itself locally convex – no other uniform polychoral members)
External
links
wikipedia

The kernel of sted is deca, hence sted is its stellation.

The convex hull of this compound happens to be o3m3m3o, the dual of deca.


Incidence matrix according to Dynkin symbol

xo3oo3oo3ox

o.3o.3o.3o.  & | 10   4 |  6 |  4 || 1
---------------+----+----+----+----++--
x. .. .. ..  & |  2 | 20 |  3 |  3 || 1
---------------+----+----+----+----++--
x.3o. .. ..  & |  3 |  3 | 20 |  2 || 1
---------------+----+----+----+----++--
x.3o.3o. ..  &   4 |  6 |  4 | 10 || 1
---------------+----+----+----+----++--
x.3o.3o.3o.  &   5 | 10 | 10 |  5 || 2

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