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Three Triply Periodic Minimal Surfaces

Three 3D-printed models of triply periodic minimal surfaces, the Schwartz P, Schwartz D, and Gyroid surfaces.

2019-01-01

Method
hand construction
Material
mylar
Year
2019

Triply periodic surfaces are strange, beautiful three dimensional structure. Here a single unit the 6-branch Curvahedra piece, is put together always linking together in loops of 4, to give approximations of the Schwartz D, Gyroid and Schwartz P minimal surfaces. The difference simply in how the structure loops back on itself as a surface, giving three quite different surfaces, two discovered by Schwartz and one, lying between them as you transform from one to the other, by Alan Schoen some time later. This might be the first time all three have been made from a single system.