Neovius surface
0In differential geometry, the Neovius surface is a triply periodic minimal surface originally discovered by Finnish mathematician Edvard 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
{\displaystyle 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 ==
Source: https://en.wikipedia.org/wiki/Neovius_surface
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