A minimal surface is the surface of minimal area between any given boundaries. In nature such shapes result from an equilibrium of homogeneous tension, e.g. in a soap film. Minimal surfaces have a constant mean curvature of zero, i.e. the sum of the principal curvatures at each point is zero. Particularly fascinating are minimal surfaces…
U. Martin Skrodzki, and K. Polthier. Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture, page 481--484. Phoenix, Arizona, Tessellations Publishing, (2016)Available online at http://archive.bridgesmathart.org/2016/bridges2016-481.html.