Acronym gidhei
TOCID symbol E|D*
Name great dodecahemicosahedron,
small dodecahemiicosahedron (but not sidhei)
 
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Circumradius 1
Vertex figure [5/4,6,5,6]
General of army id
Colonel of regiment did
Dihedral angles
  • between {5} and {6}:   arccos(sqrt[(5+2 sqrt(5))/15]) = 37.377368°
Face vector 30, 60, 22
Confer
Grünbaumian relatives:
2gidhei   did+sidhei+gidhei  
External
links
hedrondude   wikipedia   polytopewiki   mathworld

As abstract polytope gidhei is isomorphic to sidhei, thereby replacing pentagons by pentagrams.

This polyhedron is an edge-faceting of the dodecadodecahedron (did).


Incidence matrix according to Dynkin symbol

hemi( o5/4x3x5*a )

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

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