| Numéro |
J. Phys. Colloques
Volume 51, Numéro C7, Décembre 1990
International Workshop on Geometry and Interfaces
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|---|---|---|
| Page(s) | C7-131 - C7-147 | |
| DOI | https://doi.org/10.1051/jphyscol:1990713 | |
International Workshop on Geometry and Interfaces
J. Phys. Colloques 51 (1990) C7-131-C7-147
DOI: 10.1051/jphyscol:1990713
Institut für Mineralogie, Petrologie und Kristallographie der Universität Marburg, Hans-Meerwein-Strasse, D-3550 Marburg, F.R.G.
© EDP Sciences 1990
J. Phys. Colloques 51 (1990) C7-131-C7-147
DOI: 10.1051/jphyscol:1990713
CRYSTALLOGRAPHIC ASPECTS OF MINIMAL SURFACES
W. FISCHER and E. KOCHInstitut für Mineralogie, Petrologie und Kristallographie der Universität Marburg, Hans-Meerwein-Strasse, D-3550 Marburg, F.R.G.
Abstract
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