COLLOQUE DE PHYSIQUE

Abstract: We show how the labyrinths, polyhedral approximations and special points of different Infinite Periodic Minimal Surfaces can be obtained from a single regular structure in 4 Dimensions mapped onto different 3 Dimensional planes. More specifically we focus on the P and F cases. A minimal surface is such that, by definition, its mean curvature everywhere vanishes. The theory of minimd surfaces is based on several fundamental results from 19th century mathematicians, among which we can recall Weierstrass and Bonnet /l/. Weierstrass derives the 3 0 real coordinates of a minimal surface in R3 from a line integral of ellipti