Tight chiral polyhedra

Abstract

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

25 pages