SDF · Gyroid
Triply-periodic minimal surface (TPMS) implicit field — the Schoen Gyroid. Great for lightweight infill lattices, lamp shades and acoustic panels:
g(p) = sin(s·x)·cos(s·y) + sin(s·y)·cos(s·z) + sin(s·z)·cos(s·x)
d(p) = |g(p)| - thicknesswhere s = 2π / scale. The output is a pseudo-distance field, not a true Euclidean SDF, but it polygonises cleanly with Marching Cubes.
Node
Interactive preview is available in the interactive reader.
Sockets
scale (in)- Float. Optional — overrides the parameter when connected.
thickness (in)- Float. Optional override.
sdf (out)- SDF.
Parameters
Scale- Spatial period of the lattice (mm). Smaller value = finer lattice. Default: 5.
Thickness- Wall thickness of the gyroid. 0 = a thin shell (the classic minimal surface), ~1 = nearly filled. Default: 0.5.
Usage Pattern
The gyroid on its own is infinite. To get a finite lattice, intersect it with a bounded primitive:
SDF · Gyroid ─┐
├─→ SDF · Intersect → Marching Cubes → Output
SDF · Sphere ─┘Replace the sphere with any shape you want "filled" with the lattice — box, torus, even a lofted vessel rasterised through another pipeline.