Group Theory
In terms of group theory, if G is the symmetry group of a polyhedral compound, and the group acts transitively on the polyhedra (so that each polyhedron can be sent to any of the others, as in uniform compounds), then if H is the stabilizer of a single chosen polyhedron, the polyhedra can be identified with the orbit space G/H – the coset gH corresponds to which polyhedron g sends the chosen polyhedron to.
Read more about this topic: Polyhedral Compound
Famous quotes containing the words group and/or theory:
“With a group of bankers I always had the feeling that success was measured by the extent one gave nothing away.”
—Francis Aungier, Pakenham, 7th Earl Longford (b. 1905)
“Psychotherapy—The theory that the patient will probably get well anyway, and is certainly a damned ijjit.”
—H.L. (Henry Lewis)