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.
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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.