Gyroids of Constant Mean Curvature
Karsten Große-Brauckmann
Abstract
Karsten Große-Brauckmann
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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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