Tight Chiral Polyhedra


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.

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Correspondence to Gabe Cunningham.

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Cunningham, G. Tight Chiral Polyhedra. Combinatorica 38, 115–142 (2018). https://doi.org/10.1007/s00493-016-3505-8

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Mathematics Subject Classification (2000)

  • 20B25
  • 51M20
  • 52B05
  • 52B15