Richmond surface
Appearance
![](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
[edit]- ^ Jesse Douglas, Tibor Radó, The Problem of Plateau: A Tribute to Jesse Douglas & Tibor Radó, World Scientific, 1992 (p. 239-240)
- ^ John Oprea, The Mathematics of Soap Films: Explorations With Maple, American Mathematical Soc., 2000