List of equations in wave theory

Neovius' minimal surface in a unit cell.

In differential geometry, the Neovius surface is a triply periodic minimal surface originally discovered by Finnish mathematician Edwin Rudolf Neovius (the uncle of Rolf Nevanlinna).

The surface has genus 9, dividing space into two infinite non-equivalent labyrinths. Like many other triply periodic minimal surfaces it has been studied in relation to the microstructure of block copolymers, surfactant-water mixtures, and crystallography of soft materials.

It can be approximated with the level set surface

$3[\cos (x)+\cos (y)+\cos (z)]+4\cos (x)\cos (y)\cos (z)=0$

In Schoen's categorisation it is called the C(P) surface, since it is the "complement" of the Schwarz P surface. It can be extended with further handles, converging towards the expanded regular octahedron (in Schoen's categorisation)

References

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