Minimal surfaces

Richmond surface

In differential geometry, a Richmond surface is a minimal surface first described by Herbert William Richmond in 1904. It is a family of surfaces with one planar end and one Enneper surface-like self-intersecting end. It has Weierstrass–Enneper parameterization . This allows a parametrization based on a complex parameter as The associate family of the surface is just the surface rotated around the z-axis. Taking m = 2 a real parametric expression becomes: (Wikipedia).

Richmond surface
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From playlist The Riemann Sphere

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Cylindrical Surfaces

This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

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Related pages

Minimal surface | Enneper surface | Associate family | Weierstrass–Enneper parameterization | Differential geometry | End (topology)