Acronym  se 
Name 
small icosiicosahedron, compound of 5 oct 
Coxeter symbol  [5{3,4}]2{3,5} 
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Circumradius  1/sqrt(2) = 0.707107 
Inradius  1/sqrt(6) = 0.408248 
Vertex figure  [3^{4}] 
General of army  id 
Colonel of regiment  (is itself locally convex) 
Dihedral angles
(at margins) 

Confer  dissit (hidsit) addasi 
External links 
The common intersection of se is a (scaled) ike.
It occurs in 2 different forms because of pairwise coincident face planes, thus those triangles can be counted nontheless separately (type A), or they are considered combined as a (nonregular) 2trianglecompound (type B).
(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
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