Paper's Title:

Linearly Transformable Minimal Surfaces

Author(s):

Harold R. Parks and Walter B. Woods

Abstract:

We give a complete description of a nonplanar minimal surface in R³ with the surprising property that the surface remains minimal after mapping by a linear transformation that dilates by three distinct factors in three orthogonal directions. The surface is defined in closed form using Jacobi elliptic functions.

Search and serve lasted 0 second(s).