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Neovius Surface

The Neovius 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).

Schoen (1970) denoted the Neovius surface by C(P), the complement of the Schwarz P surface, because the two minimal surfaces contain the same straight lines and have the same space group.

See also

Embedded Surface, Minimal Surface, Schwarz P Surface, Triply Periodic Minimal Surface

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References

Neovius, E. R. Bestimmung zweier speciellen periodischen Minimalflächen, auf welchen unendlich viele gerade Linien und unendlich viele ebene geodätische Linien liegen. Helsingfors, Finland: 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.

Cite this as:

Weisstein, Eric W. "Neovius Surface." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NeoviusSurface.html

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