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 *)
External
links
hedrondude   wikipedia   polytopewiki   mathworld   Polyedergarten

* 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.


Incidence matrix

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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