Acronym	siid
TOCID symbol	iID*
Name	small icosicosidodecahedron
VRML	⭳ ©
Circumradius	sqrt[(17+3 sqrt(5))/8] = 1.721489
Vertex figure	[5/2,6,3,6]
Snub derivation / VRML	⭳
General of army	f3o5x
Dihedral angles	between {5/2} and {6}:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632° between {3} and {6}:   arccos(-sqrt(5)/3) = 138.189685°
Colonel of regiment	(is itself locally convex – other uniform polyhedral members: sidditdid   siddy – other edge facetings)
Face vector	60, 120, 52
Confer	general polytopal classes: Wythoffian polyhedra
External links

As abstract polytope siid is isomorphic to giid, thereby replacing pentagrams by pentagons and prograde triangles by retrograde ones.

Incidence matrix according to Dynkin symbol

     x    
  3 / \ 3 
   x---o  
    5/2   

x5/2o3x3*a

.   . .    | 60 |  2  2 |  1  2  1
-----------+----+-------+---------
x   . .    |  2 | 60  * |  1  1  0
.   . x    |  2 |  * 60 |  0  1  1
-----------+----+-------+---------
x5/2o .    |  5 |  5  0 | 12  *  *
x   . x3*a |  6 |  3  3 |  * 20  *
.   o3x    |  3 |  0  3 |  *  * 20

     x     
  3 / \ 3/2
   x---o   
    5/3    

x3/2o5/3x3*a

.   .   .    | 60 |  2  2 |  1  2  1
-------------+----+-------+---------
x   .   .    |  2 | 60  * |  1  1  0
.   .   x    |  2 |  * 60 |  0  1  1
-------------+----+-------+---------
x3/2o   .    |  3 |  3  0 | 20  *  *
x   .   x3*a |  6 |  3  3 |  * 20  *
.   o5/3x    |  5 |  0  5 |  *  * 12

β5o3x

both( . . . ) | 60 |  2  2 |  1  1  2
--------------+----+-------+---------
both( . . x ) |  2 | 60  * |  0  1  1
sefa( β5o . ) |  2 |  * 60 |  1  0  1
--------------+----+-------+---------
      β5o .   ♦  5 |  0  5 | 12  *  *
both( . o3x ) |  3 |  3  0 |  * 20  *
sefa( β5o3x ) |  6 |  3  3 |  *  * 20

starting figure: x5o3x