Acronym gidhid
TOCID symbol E*|J
Name great dodecahemidodecahedron
 
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Circumradius (sqrt(5)-1)/2 = 0.618034
Vertex figure [5/3,10/3,5/2,10/3]
General of army id
Colonel of regiment gid
Dihedral angles
  • between {5/2} and {10/3}:   arccos(1/sqrt(5)) = 63.434949°
Face vector 30, 60, 18
Confer
Grünbaumian relatives:
2gidhid   gid+geihid+gidhid  
External
links
hedrondude   wikipedia   polytopewiki   mathworld

As abstract polytope gidhid is isomorphic to sidhid, thereby replacing pentagrams by pentagons and decagrams by decagons.

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


Incidence matrix according to Dynkin symbol

hemi( x5/3x5/3o5/2*a )

30 |  4 |  2 2
---+----+-----
 2 | 60 |  1 1
---+----+-----
 5 |  5 | 12 *
10 | 10 |  * 6

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