Neovius surface

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

[1][2] 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,[3] and crystallography of soft materials.

[4] It can be approximated with the level set surface[5] 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)[6][7]