Richmond surface

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]