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arxiv: 0805.3095 · v1 · submitted 2008-05-20 · 🧮 math.DG · math.CV

Triply Periodic Minimal Surfaces Bounded by Vertical Symmetry Planes

classification 🧮 math.DG math.CV
keywords periodicsurfacesminimalplanessymmetrytriplyverticalbounded
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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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