For q=18 the Hecke triangle group G_18 has infinitely many distinct orbits of fixed points of special hyperbolic elements on the specified algebraic set, producing infinitely many Veech orbits of directions invariant under special affine pseudo-Anosov maps on the 18-gon unfolding.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Unfoldings of right regular n-prisms yield non-lattice translation surfaces (except n=4) that cover hyperelliptic surfaces, giving explicit GL(2,R) orbit closures and quadratic asymptotics for saddle connection counts.
citing papers explorer
-
Hecke Triangle Groups and Special Hyperbolic Elements
For q=18 the Hecke triangle group G_18 has infinitely many distinct orbits of fixed points of special hyperbolic elements on the specified algebraic set, producing infinitely many Veech orbits of directions invariant under special affine pseudo-Anosov maps on the 18-gon unfolding.
-
Translation Surfaces arising from Right Regular Prisms
Unfoldings of right regular n-prisms yield non-lattice translation surfaces (except n=4) that cover hyperelliptic surfaces, giving explicit GL(2,R) orbit closures and quadratic asymptotics for saddle connection counts.