Acronym | gidtid |
TOCID symbol | JE |
Name |
great ditrigonary icosidodecahedron, vertex figure of gidtixhi |
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Circumradius | sqrt(3)/2 = 0.866025 |
Vertex figure | [(3,5)3]/2 |
General of army | doe |
Colonel of regiment | sidtid |
Dual | gatai |
Dihedral angles |
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Face vector | 20, 60, 32 |
Confer |
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External links |
As abstract polytope gidtid is isomorphic to sidtid, thereby replacing pentagons by pentagrams. – As such gidtid is a lieutenant.
Gidtid also can be obtained as a blend of sidtid with ditdid, blending out the pentagrams.
This polyhedron is an edge-faceting of the small ditrigonary icosidodecahedron (sidtid).
Incidence matrix according to Dynkin symbol
x3/2o3o5*a . . . | 20 | 6 | 3 3 -----------+----+----+------ x . . | 2 | 60 | 1 1 -----------+----+----+------ x3/2o . | 3 | 3 | 20 * x . o5*a | 5 | 5 | * 12
o3/2o3x5*a . . . | 20 | 6 | 3 3 -----------+----+----+------ . . x | 2 | 60 | 1 1 -----------+----+----+------ . o3x | 3 | 3 | 20 * o . x5*a | 5 | 5 | * 12
x5/4o3o3*a . . . | 20 | 6 | 3 3 -----------+----+----+------ x . . | 2 | 60 | 1 1 -----------+----+----+------ x5/4o . | 5 | 5 | 12 * x . o3*a | 3 | 3 | * 20
x5/4o3/2o3/2*a . . . | 20 | 6 | 3 3 ---------------+----+----+------ x . . | 2 | 60 | 1 1 ---------------+----+----+------ x5/4o . | 5 | 5 | 12 * x . o3/2*a | 3 | 3 | * 20
β5/2o3o both( . . . ) | 20 | 6 | 3 3 ----------------+----+----+------ sefa( β5/2o . ) | 2 | 60 | 1 1 ----------------+----+----+------ β5/2o . ♦ 5 | 5 | 12 * sefa( β5/2o3o ) | 3 | 3 | * 20 starting figure: x5/2o3o
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