Triply Periodic Minimal Surfaces Bounded by Vertical Symmetry Planes

Details Triply Periodic Minimal Surfaces Bounded by Vertical Symmetry Planes Triply Periodic Minimal Surfaces Bounded by Vertical Symmetry Planes

2008-05-20

arxiv.org/abs/0805.3095v1

Mathematics

Differential Geometry

30 pages, 56 figures

Scientific paper

We give a uniform and elementary treatment of many classical and new triply
periodic minimal surfaces in Euclidean space, based on a Schwarz-Christoffel
formula for periodic polygons in the plane. Our surfaces share the property
that vertical symmetry planes cut them into simply connected pieces.

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