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Periodic minimal surfaces of cubic symmetry

By Eric A. Lord and Alan L. Mackay

Abstract

A survey of cubic minimal surfaces is presented, based on the concept of fundamental surface patches and their relation to the asymmetric units of the space groups. The software Surface Evolver has been used to test for stability and to produce graphic displays. Particular emphasis is given to those surfaces that can be generated by a finite piece bounded by straight\ud lines. Some new varieties have been found and a systematic nomenclature is introduced, which provides a symbol (a ‘gene’) for each triply-periodic minimal surface that specifies the surface unambiguously

Topics: bcs
Publisher: Current Science Association/The Indian Academy of Sciences
Year: 2003
OAI identifier: oai:eprints.bbk.ac.uk.oai2:282

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