Acronym | qrid |
TOCID symbol | rJE* |
Name |
quasi rhombicosidodecahedron, great (non-convex) rhombicosidodecahedron (i.e. not grid) |
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Circumradius | sqrt[-sqrt(5)+11/4] = 0.716891 |
Vertex figure | [5/3,4,3,4] |
General of army | f3x5o |
Colonel of regiment | gaddid |
Dihedral angles |
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Face vector | 60, 120, 62 |
Confer |
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External links |
As abstract polytope qrid is isomorphic to srid, thereby replacing retrograde pentagrams by prograde pentagons. – As such qrid is a lieutenant.
Just as the lunes of srid had been reused in bilbiro and thawro, the more folded lunes of this conjugate polyhedron are being reused in their conjugates as well, i.e. in gibil biro and githawro.
This polyhedron is an edge-faceting of the great dodekicosidodecahedron (gaddid).
Incidence matrix according to Dynkin symbol
x5/3o3x . . . | 60 | 2 2 | 1 2 1 --------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . . x | 2 | * 60 | 0 1 1 --------+----+-------+--------- x5/3o . | 5 | 5 0 | 12 * * x . x | 4 | 2 2 | * 30 * . o3x | 3 | 0 3 | * * 20
x3/2o5/2x . . . | 60 | 2 2 | 1 2 1 ----------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . . x | 2 | * 60 | 0 1 1 ----------+----+-------+--------- x3/2o . | 3 | 3 0 | 20 * * x . x | 4 | 2 2 | * 30 * . o5/2x | 5 | 0 5 | * * 12
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