Abstract

Ordered nanopatterns that match to the {6, 4} tiling of the diamond type infinite periodic minimal surface are generated. The construction of the unit cell, generally recognized as a Monkey Saddle, is done numerically using the exact Weierstrass–Enneper representation of minimal surfaces. The obtained patterns are a good model for the self-assembly nanodomain organizations of membrane proteins, compatible with 3- or 6-fold symmetries and formed upon reconstitution in bicontinuous cubic lipid phases.

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