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math.CO2018
Semi-regular tilings of the hyperbolic plane
Basudeb Datta, Subhojoy Gupta
A semi-regular tiling of the hyperbolic plane is a tessellation by regular geodesic polygons with the property that each vertex has the same vertex-type, which is a cyclic tuple of…
math.CO2017
Degree-regular triangulations of surfaces
Basudeb Datta, Subhojoy Gupta
A degree-regular triangulation is one in which each vertex has identical degree. Our main result is that any such triangulation of a (possibly non-compact) surface is geometric…