Construction of Triply Periodic Minimal Surfaces

(appeared in: Phil. Trans. RS A. Curved Surfaces in Chemical Structures)

Hermann Karcher and Konrad Polthier

Abstract

We discuss the construction of triply period minimal surfaces. This includes 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.

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