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)
Admiral of fleet	ex
Confer	regular
External links

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