Acronym siid
TOCID symbol iID*
Name small icosicosidodecahedron
 
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Circumradius sqrt[(17+3 sqrt(5))/8] = 1.721489
Vertex figure [5/2,6,3,6]
Snub derivation
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)
External
links
hedrondude   wikipedia   WikiChoron   mathworld   Polyedergarten

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

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

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

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