Supplément au Journal de Physique Colloques

International Workshop on Geometry and Interfaces

J. Phys. Colloques 51 (1990) C7-257-C7-264
DOI: 10.1051/jphyscol:1990726

INFINITE PERIODIC MINIMAL SURFACE : FROM 4 DIMENSIONS TO 3

R. MOSSERI¹ and J.F. SADOC²

¹ Laboratoire de Physique des Solides de Bellevue, CNRS, F-92195 Meudon Cedex, France
² Laboratoire de Physique des Solides, Université Paris-Sud et CNRS, F-91405 Orsay Cedex, France

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.