56 research outputs found
Conformally correct tilings
We discuss the art and science of producing conformally correct euclidean and
hyperbolic tilings of compact surfaces. As an example, we present a tiling of
the Chmutov surface by hyperbolic (2, 4, 6) triangles.Comment: 6 pages, 7 compound figure
Conformal variations and quantum fluctuations in discrete gravity
After an overview of variational principles for discrete gravity, and on the
basis of the approach to conformal transformations in a simplicial PL setting
proposed by Luo and Glickenstein, we present at a heuristic level an improved
scheme for addressing the gravitational (Euclidean) path integral and
geometrodynamics.Comment: 11 pages, 3 figure
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