Alexander I. Bobenko, Sebastian Heller, Nick Schmitt
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Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals
We describe the construction of CMC surfaces with symmetries in \(\mathbb {S}^{3}\) and \(\mathbb {R}^{3}\) using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the space. The fundamental piece is constructed by the generalized Weierstrass representation using a geometric flow on the space of potentials.
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