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].
[5] Fiona Meldrum's Group. "Mechanical Properties of Bio-Inspired Materials." (Aug 7, 2013) http://www.inchm.bris.ac.uk/people/meldrum/mech%20props.html.
[6] P. J. F. Gandy and J. Klinowski, "The Equipotential Surfaces of Cubic Lattices,", Chemical Physics Letters, 360(5–6), 2002 pp. 543–551. doi:10.1016/S0009-2614(02)00864-3.