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Updated: May 7, 2026

Micropunching Lithography for Generating Micro- and Submicron-patterns on Polymer Substrates
Published on: July 2, 2012
Smectic pores and defect cores
Elisabetta A Matsumoto1, Randall D Kamien, Christian D Santangelo
1Princeton Center for Theoretical Science, Princeton University, Princeton, NJ 08544, USA ; Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USA.
Abstract:
Riemann's minimal surfaces, a one-parameter family of minimal surfaces, describe a bicontinuous lamellar system with pores connecting alternating layers. We demonstrate explicitly that Riemann's minimal surfaces are composed of a nonlinear sum of two oppositely handed helicoids.
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