Acronym | gidrid (subsym.: gidrikid) |
TOCID symbol | s(JE*)2 |
Name |
great dirhombicosidodecahedron, great snub disicosidisdodecahedron, Miller's monster, (subsym.: great dirhombichiricosadodecahedron) |
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Circumradius | 1/sqrt(2) = 0.707107 |
Vertex figure | [3,4,5/2,4,3/2,4,5/3,4] |
Colonel of regiment | (is itself not locally convex, but no other uniform polyhedral members – exotic uniform member: gidisdrid – uniform compound members: dasi sapisseri – other edge facetings *) |
Face vector | 60, 240, 124 |
External links |
* The regiment of gidrid contains that of gisdid and of oct.
This polyhedron allows for a chiral colored representation wrt. its purely rotational subgroup. That one then is gidrikid, the great dirhombichiricosadodecahedron. Triangles and pentagrams then fall into 2 subclasses each. Squares however, because of being hemihedral (running through the body center), remain the same.
60 | 4 4 | 2 4 2 ---+---------+--------- 2 | 120 * | 1 1 0 2 | * 120 | 0 1 1 ---+---------+--------- 3 | 3 0 | 40 * * 4 | 2 2 | * 60 * 5 | 0 5 | * * 24 {5/2}
60 | 2 2 2 2 | 1 1 4 1 1 ---+-------------+--------------- 2 | 60 * * * | 1 0 1 0 0 2 | * 60 * * | 0 1 1 0 0 2 | * * 60 * | 0 0 1 1 0 2 | * * * 60 | 0 0 1 0 1 ---+-------------+--------------- 3 | 3 0 0 0 | 20 * * * * 3 | 0 3 0 0 | * 20 * * * 4 | 1 1 1 1 | * * 60 * * 5 | 0 0 5 0 | * * * 12 * {5/2} 5 | 0 0 0 5 | * * * * 12 {5/2}
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