Infinite Periodic Discrete Minimal Surfaces Without Self-Intersections

Details Infinite Periodic Discrete Minimal Surfaces Without Self-Intersections Infinite Periodic Discrete Minimal Surfaces Without Self-Intersections

2004-10-13

arxiv.org/abs/math/0410314v1

Balkan J. Geom. Appl. 10(2) (2005), 106-128

Mathematics

Differential Geometry

Scientific paper

A triangulated piecewise-linear minimal surface in Euclidean 3-space defined using a variational characterization is critical for area amongst all continuous piecewise-linear variations with compact support that preserve the simplicial structure. We explicitly construct examples of such surfaces that are embedded and are periodic in three independent directions of Euclidean 3-space.

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