The Neovius minimal surface is a triply periodic minimal surface without self-intersections, and hence an embedded
surface. It has genus 9 per translational cell and
was constructed by Neovius (1883).
Neovius, E. R. Bestimmung zweier speciellen periodischen Minimalflächen, auf welchen unendlich viele gerade Linien und unendlich viele
ebene geodätische Linien liegen. Helsingfors: Frenckell, 1883. https://eudml.org/doc/204304.Schoen,
A. H. "Infinite Periodic Minimal Surfaces without Self-Intersections."
NASA Technical Note D-5541. Washington, DC: National Aeronautics and Space Administration,
1970. https://ntrs.nasa.gov/citations/19700020472.
, the complement of Schwarz's
minimal surface, because the two minimal surfaces
contain the same straight lines and have the same space
group.
