Richmond surface
Minimal surface in differential geometry
![](http://upload.wikimedia.org/wikipedia/commons/thumb/0/00/Richmond_Surface.png/220px-Richmond_Surface.png)
In differential geometry, a Richmond surface is a minimal surface first described by Herbert William Richmond in 1904.[1] 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:[2]
References
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Minimal surfaces
- Associate family
- Bour's
- Catalan's
- Catenoid
- Chen–Gackstatter
- Costa's
- Enneper
- Gyroid
- Helicoid
- Henneberg
- k-noid
- Lidinoid
- Neovius
- Richmond
- Riemann's
- Saddle tower
- Scherk
- Schwarz
- Triply periodic
![...](http://upload.wikimedia.org/wikipedia/commons/thumb/6/63/Saddle_Tower_Minimal_Surfaces.png/51px-Saddle_Tower_Minimal_Surfaces.png)