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Tight chiral polyhedra

Published 29 Aug 2015 in math.CO | (1508.07451v2)

Abstract: A chiral polyhedron with Schl\"afli symbol ${p, q}$ is called tight if it has $2pq$ flags, which is the minimum possible. In this paper, we fully characterize the Schl\"afli symbols of tight chiral polyhedra. We also provide presentations for the automorphism groups of several families of tight chiral polyhedra.

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