Triply Periodic Minimal Surfaces
Triply Periodic Minimal Surfaces
In 1865, H. A. Schwarz found two triply periodic minimal surfaces (P and D)[1] and his student Edwin Neovius found another one (N). Around 1970, Alan Schoen found the gyroid[2] and others; many other cases have been discovered[3, 4]. Such surfaces are relevant in biomaterials and the study of several compounds with cubic lattices[5, 6].
References
References
[1] A. H. Schoen, Infinite Periodic Minimal Surfaces without Self-Intersections, NASA Technical Note TN D-5541, Washington, DC: National Aeronautics and Space Administration, 1970.
[2] E. Zeleny. "The Gyroid" from the Wolfram Demonstrations Project—A Wolfram Web Resource. demonstrations.wolfram.com/TheGyroid.
[3] The Scientific Graphics Project. "Minimal Surfaces." (Aug 7, 2013) archive.msri.org/about/sgp/jim/geom/minimal/index.html.
[4] K. Brakke. "Triply Periodic Minimal Surfaces." (Aug 7, 2013) www.susqu.edu/facstaff/b/brakke/evolver/examples/periodic/periodic.html.
External Links
External Links
Permanent Citation
Permanent Citation
Enrique Zeleny
"Triply Periodic Minimal Surfaces"
http://demonstrations.wolfram.com/TriplyPeriodicMinimalSurfaces/
Wolfram Demonstrations Project
Published: August 12, 2013