Acronym mix
Name medial hexacosachoron,
mete-star,
compound of 120 pen
Coxeter symbol {5,3,3}[120{3,3,3}]{3,3,5}
Circumradius sqrt(2/5) = 0.632456
Inradius 1/sqrt(40) = 0.158114
General of army hi
Colonel of regiment (is itself locally convex)
Confer regular  

Incidence matrix

600     4 |    6 |   4 ||   1
----+------+------+-----++----
  2 | 1200 |    3 |   3 ||   1
----+------+------+-----++----
  3 |    3 | 1200 |   2 ||   1
----+------+------+-----++----
 4 |    6 |    4 | 600 ||   1
----+------+------+-----++----
 5 |   10 |   10 |   5 || 120

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