1 citations · 1 across the 1 of their papers we have counts for
4 papers
Computing a Dirichlet domain for a hyperbolic surface
Vincent Despré, Benedikt Kolbe, Hugo Parlier +1
The goal of this paper is to exhibit and analyze an algorithm that takes a given closed orientable hyperbolic surface and outputs an explicit Dirichlet domain. The input is a funda…
Tiling the Euclidean and Hyperbolic planes with ribbons
Benedikt Kolbe, Vanessa Robins
We describe a method to classify crystallographic tilings of the Euclidean and hyperbolic planes by tiles whose stabiliser group contains translation isometries or whose topology i…
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.…
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…