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For questions about minimal surfaces in the sense of Riemannian geometry (as opposed to complex geometry).
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Approximation of triply periodic minimal surfaces with trigonometric level sets
Some triply periodic minimal surfaces are known to be approximated by trigonometric level sets very accurately.
To see this, let's sample a gyroid scaled to the bounding box $[0, 1]^3$ exactly through …
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Approximation of triply periodic minimal surfaces with trigonometric level sets
I believe these equations first appear in Ian Barnes' 1990 PhD thesis Microstructure of bicontinuous phases in surfactant systems.
In section 6.2.1 he derives the Fourier representation of periodic eq …