The Australian Journal of Mathematical Analysis and Applications

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Paper's Title:

Linearly Transformable Minimal Surfaces


Harold R. Parks and Walter B. Woods

Department of Mathematics, Oregon State University,
Corvallis, Oregon 97331--4605,


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.

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