J. Phys. Colloques
Volume 51, Numéro C7, Décembre 1990International Workshop on Geometry and Interfaces
|Page(s)||C7-131 - C7-147|
J. Phys. Colloques 51 (1990) C7-131-C7-147
CRYSTALLOGRAPHIC ASPECTS OF MINIMAL SURFACESW. FISCHER and E. KOCH
Institut für Mineralogie, Petrologie und Kristallographie der Universität Marburg, Hans-Meerwein-Strasse, D-3550 Marburg, F.R.G.
Symmetry properties of 3-periodic minimal surfaces subdividing R3 into two congruent regions are discussed. The relation between the order of a flat point and its site symmetry is established. Explicit formulae are given for the calculation of the genus of such a surface depending on the kind of surface patches that build up the surface. Making use of 2-fold axes that have to be embedded in a surface with given symmetry new families of minimal balance surfaces have been derived. Corresponding lists are referred to the different kinds of surface patches.
© EDP Sciences 1990