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Medial Surfaces of Hyperbolic Structures

Schroeder, Gerd; Ramsden, Stuart; Christy, Andrew; Hyde, Stephen


We describe an algorithm for numerical computation of a medial surface and an associated medial graph for three-dimensional shapes bounded by oriented triangulated surface manifolds in three-dimensional Euclidean space (domains). We apply the construction to bicontinuous domain shapes found in molecular self-assemblies, the cubic infinite periodic minimal surfaces of genus three: Gyroid (G), Diamond (D) and Primitive (P) surfaces. The medial surface is the locus of centers of maximal spheres,...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: European Physical Journal B
DOI: 10.1140/epjb/e2003-00308-y


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