Acronym	geihid
TOCID symbol	J|E*
Name	great icosihemidodecahedron
Circumradius	(sqrt(5)-1)/2 = 0.618034
	© ©
Vertex figure	[3/2,10/3,3,10/3]
General of army	id
Colonel of regiment	gid
Dihedral angles	between {3} and {10/3}:   arccos(sqrt[(5+2 sqrt(5))/15]) = 37.377368°
Face vector	30, 60, 26
Confer	Grünbaumian relatives: 2geihid   gid+geihid+gidhid
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As abstract polytope geihid is isomorphic to seihid, thereby replacing decagrams by decagons.

This polyhedron is an edge-faceting of the great icosidodecahedron (gid).

Incidence matrix according to Dynkin symbol

hemi( o3/2x5/3x3*a )

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