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math.GT2018
Enumerating Isotopy Classes of Tilings guided by the symmetry of Triply-Periodic Minimal Surfaces
Benedikt Kolbe, Myfanwy E. Evans
We present a technique for the enumeration of all isotopically distinct ways of tiling a hyperbolic surface of finite genus, possibly nonorientable and with punctures and boundary.…
math.GT2018
Isotopic tiling theory for hyperbolic surfaces
Benedikt Kolbe, Myfanwy E. Evans
In this paper, we develop the mathematical tools needed to explore isotopy classes of tilings on hyperbolic surfaces of finite genus, possibly nonorientable, with boundary, and pun…