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3‐Periodic Minimal Surfaces Derivable from Laves Nets
Author(s) -
Fischer Werner,
Koch Elke
Publication year - 2001
Publication title -
zeitschrift für anorganische und allgemeine chemie
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 66
eISSN - 1521-3749
pISSN - 0044-2313
DOI - 10.1002/1521-3749(200109)627:9<2091::aid-zaac2091>3.0.co;2-z
Subject(s) - mathematics , humanities , philosophy
3‐periodic minimal surfaces made up by catenoid‐like surface patches may be related to Laves nets. Starting from these nets four new types of such surfaces with selfintersection exclusively along straight lines could be derived. They subdivide R 3 into 2‐periodic labyrinths and 1‐periodic tubes.