Acronym gid
TOCID symbol JE*
Name great icosidodecahedron
 
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Circumradius (sqrt(5)-1)/2 = 0.618034
Vertex figure [(5/2,3)2]
General of army id
Colonel of regiment (is itself locally convex – other uniform polyhedral members: gidhid   geihid – other edge facetings)
Dihedral angles
  • between {3} and {5/2}:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
Confer
Grünbaumian relatives:
2gid   gid+geihid+gidhid  
External
links
hedrondude   wikipedia   WikiChoron   mathworld   Polyedergarten

As abstract polytope gid is isomorphic to id, thereby replacing pentagrams by pentagons.


Incidence matrix according to Dynkin symbol

o5/2x3o

.   . . | 30 |  4 |  2  2
--------+----+----+------
.   x . |  2 | 60 |  1  1
--------+----+----+------
o5/2x . |  5 |  5 | 12  *
.   x3o |  3 |  3 |  * 20

o5/3x3o

.   . . | 30 |  4 |  2  2
--------+----+----+------
.   x . |  2 | 60 |  1  1
--------+----+----+------
o5/3x . |  5 |  5 | 12  *
.   x3o |  3 |  3 |  * 20

o3/2x5/2o

.   .   . | 30 |  4 |  2  2
----------+----+----+------
.   x   . |  2 | 60 |  1  1
----------+----+----+------
o3/2x   . |  3 |  3 | 20  *
.   x5/2o |  5 |  5 |  * 12

o3/2x5/3o

.   .   . | 30 |  4 |  2  2
----------+----+----+------
.   x   . |  2 | 60 |  1  1
----------+----+----+------
o3/2x   . |  3 |  3 | 20  *
.   x5/3o |  5 |  5 |  * 12

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