Acronym gird
TOCID symbol re|JE*
Name great rhombidodecahedron
 
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Circumradius sqrt[-sqrt(5)+11/4] = 0.716891
Vertex figure [4/3,10/7,4,10/3]/0
General of army f3x5o
Colonel of regiment gaddid
Dihedral angles
  • between {4} and {10/3} (at pseudo {5/2}):   arccos(sqrt[(5-sqrt(5))/10]) = 58.282526°
  • between {4} and {10/3} (at pseudo {3}):   arccos(sqrt[(5+sqrt(5))/10]) = 31.717474°
Confer
Grünbaumian relatives:
gird+12{10/4}   gird+20{6/2}  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope gird is isomorphic to sird, thereby replacing decagrams by decagons.

The great rhombidodecahedron is an edge-faceting of the great dodekicosidodecahedron (gaddid).


Incidence matrix according to Dynkin symbol

reduced( x3/2x5/3x , by 20{6/2} )
or
reduced( x5/4x5/3x , by 12{10/4} )

60 |   4 |  2  2
---+-----+------
 2 | 120 |  1  1
---+-----+------
 4 |   4 | 30  *
10 |  10 |  * 12

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