Acronym seihid
TOCID symbol I|D
Name small icosihemidodecahedron
 
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Circumradius (1+sqrt(5))/2 = 1.618034
Vertex figure [3/2,10,3,10]
General of army id
Colonel of regiment id
Dihedral angles
  • between {3} and {10}:   arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683°
Confer
Grünbaumian relatives:
2seihid   id+seihid+sidhid  
External
links
hedrondude   wikipedia   mathworld

As abstract polytope seihid is isomorphic to geihid, thereby replacing decagons by decagrams.

The small icosihemidodecahedron is an edge-faceting of the icosidodecahedron (id).


Incidence matrix according to Dynkin symbol

hemi( x3/2o3x5*a )

30 |  4 |  2 2
---+----+-----
 2 | 60 |  1 1
---+----+-----
 3 |  3 | 20 *
10 | 10 |  * 6

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