Answers are grounded in this paper and cite their sources.
Given a Delaunay decomposition of a compact hyperbolic surface, one may record the topological data of the decomposition, together with the intersection angles between the "empty disks" circumscribing the regions of the decomposition.The main result of this paper is a characterization of when a given topological decomposition and angle assignment can be realized as the data of an actual Delaunay decomposition of a hyperbolic surface.
No takes yet. Share an insight, caveat, or question.
A 2002 study studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: