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CmcMesh: a python implementation of the DPW method
Thomas Raujouan, Martin Traizet
Minimal and constant mean curvature (CMC) surfaces in three-dimensional space forms can be constructed with the Dorfmeister--Pedit--Wu (DPW) method. We introduce CmcMesh, a Python…
Constant curvature rotational nets and periodic Bäcklund transforms
Thomas Raujouan, Wayne Rossman, Naoya Suda
After giving explicit parametrizations of discrete constant negative Gaussian curvature surfaces (negative CGC, i.e. discrete pseudospherical surfaces) of revolution, we construct…
Loop Weierstrass Representation
Thomas Raujouan, Nick Schmitt, Jonas Ziefle
We introduce the Loop Weierstrass Representation for minimal surfaces in Euclidean space and constant mean curvature 1 surfaces in hyperbolic space by applying integral system meth…
Constant mean curvature n-noids in hyperbolic space
Thomas Raujouan
Using the DPW method, we construct genus zero Alexandrov-embedded constant mean curvature (greater than one) surfaces with any number of Delaunay ends in hyperbolic space.
On Delaunay Ends in the DPW Method
Thomas Raujouan
We consider constant mean curvature 1 surfaces in arising via the DPW method from a holomorphic perturbation of the standard Delaunay potential on the punctured disk…