Curved surfaces in chemical structure - Construction of triply periodic minimal surfaces

We discuss triply periodic minimal surfaces from a mathematical point of view, giving concepts for constructing new examples as well as a discussion of numerical computations based on the new concept of discrete minimal surfaces. As a result we present a wealth of old and new examples and suggest di...

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Bibliographic Details
Published in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 1996-09, Vol.354 (1715), p.2077-2104
Main Authors: Karcher, Hermann, Polthier, Konrad
Format: Article
Language:English
Online Access:Get full text
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Summary:We discuss triply periodic minimal surfaces from a mathematical point of view, giving concepts for constructing new examples as well as a discussion of numerical computations based on the new concept of discrete minimal surfaces. As a result we present a wealth of old and new examples and suggest directions for further generalizations.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.1996.0093