Scherk's Minimal Surfaces
Digital & Physical modeling exploration of a mathematical minimal surface. Winner entry of the American Mathematical Society Art Exhibition 2022, winner or RPP Material Practice Scholarship 2016.
3D Printed model
In mathematics, a Scherk surface (named after Heinrich Scherk in 1834) is an example of a minimal surface. This is a surface that locally, minimizes its area (or having a mean curvature of zero). Initially, an attempt to solve Gergonne’s problem, a boundary value problem in the cube, these surfaces arise from the solution to a differential equation that describes a minimal Monge patch (a patch that maps [u, v] to [u, v, f(u, v)]). The full surface is obtained by putting a large number the small units next to each other in a chessboard pattern.
These 3D print models, defining various Scherk surfaces can have many iterations, according to the number of saddle branches, number of holes, turn around the axis and bends towards the axis. As architectural exploration, the challenge has always been fabrication. Please see above the link to more information.