1997Experimental MathematicsRequires access

Gyroids of Constant Mean Curvature

Karsten Große-Brauckmann

Open publisher page 53 citations

Abstract

We use Brakke's Surface Evolver to deform a triply periodic minimal surface, the gyroid, into a continuous family of constant mean curvature surfaces with the same symmetry. We discuss stability and bifurcation problems for these surfaces.

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What this paper is about

We use Brakke's Surface Evolver to deform a triply periodic minimal surface, the gyroid, into a continuous family of constant mean curvature surfaces with the same symmetry. We discuss stability and bifurcation problems for these surfaces.

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OpenAlex reports 53 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We use Brakke's Surface Evolver to deform a triply periodic minimal surface, the gyroid, into a continuous family of constant mean curvature surfaces with the same symmetry. We discuss stability and bifurcation problems for these surfaces.

Key concepts: Gyroid, Mathematics, Mean curvature, Constant-mean-curvature surface, Minimal surface, Mean curvature flow, Constant (computer programming), Bifurcation

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