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Weierstrass–Enneper parameterization
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In mathematics, the Weierstrass–Enneper parameterization of minimal surfaces is a classical piece of differential geometry.
Weierstrass parameterization facilities fabrication of periodic minimal surfaces
Weierstrass parameterization facilities fabrication of periodic minimal surfaces
A catenary that spans periodic points on a helix, subsequently rotated along the helix to produce a minimal surface.
A catenary that spans periodic points on a helix, subsequently rotated along the helix to produce a minimal surface.
The fundamental domain (C) and the 3D surfaces. The continuous surfaces are made of copies of the fundamental patch (R3)
The fundamental domain (C) and the 3D surfaces. The continuous surfaces are made of copies of the fundamental patch (R3)
Lines of curvature make a quadrangulation of the domain
Lines of curvature make a quadrangulation of the domain
Minimal surface
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In mathematics, a minimal surface is a surface that locally minimizes its area. This is equivalent to having zero mean curvature.
Circus tent approximates a minimal surface.
Circus tent approximates a minimal surface.