Acronym | rid |
Name |
rectified icosidodecahedron, variation of small rhombicosidodecahedron |
Circumradius | sqrt[5+2 sqrt(5)] = 3.077684 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 60, 120, 62 |
Confer |
Measures are using edge sizes x = 1 and f = (1+sqrt(5))/2 = 1.618034.
Rectification wrt. a non-regular polytope is meant to be the singular instance of truncations on all vertices at such a depth that the hyperplane intersections on the former edges will coincide (provided such a choice exists). Within the specific case of id all edges belong to a single orbit of symmetry, i.e. rectification clearly is applicable, without any recourse to Conway's ambification (chosing the former edge centers generally).
Incidence matrix according to Dynkin symbol
x3o5f . . . | 60 | 2 2 | 1 2 1 ------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . . f | 2 | * 60 | 0 1 1 ------+----+-------+--------- x3o . | 3 | 3 0 | 20 * * x . f | 4 | 2 2 | * 30 * . o5f | 5 | 0 5 | * * 12
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