Acronym	se
Name	small icosiicosahedron, compound of 5 oct
Coxeter symbol	[5{3,4}]2{3,5}
	© ©
Circumradius	1/sqrt(2) = 0.707107
Inradius	1/sqrt(6) = 0.408248
Vertex figure	[34]
General of army	id
Colonel of regiment	(is itself locally convex)
Admiral of fleet	ike
Dihedral angles (at margins)	between {3} and {3}:   arccos(-1/3) = 109.471221°
Confer	dissit (hidsit)   addasi
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It occurs in 2 different forms because of pairwise coincident face planes, thus those triangles can be counted non-the-less separately (type A), or they are considered combined as a (non-regular) 2-triangle-compound (type B).

Incidence matrix

(Type A)

 30 |  4 |  4 || 1
----+----+----++--
  2 | 60 |  2 || 1
----+----+----++--
  3 |  3 | 40 || 1
----+----+----++--
♦ 6 | 12 |  8 || 5

(Type B)

 30 |  4 |  4 || 1
----+----+----++--
  2 | 60 |  2 || 1
----+----+----++--
  6 |  6 | 20 || 2
----+----+----++--
♦ 6 | 12 |  8 || 5