Infinite Periodic Discrete Minimal Surfaces without Self-intersections

نویسنده

  • WAYNE ROSSMAN
چکیده

A triangulated piecewise-linear minimal surface in Euclidean 3space 3 defined using a variational characterization is critical for area amongst all continuous piecewise-linear variations with compact support that preserve the simplicial structure. We explicitly construct examples of such surfaces that are embedded and are periodic in three independent directions of . Department of Mathematics, Faculty of Science, Kobe University, Rokko, Kobe 657-8501, Japan [email protected] http://math.kobe-u.ac.jp/HOME/wayne/wayne.html Tel.: +81-78-803-5623, FAX: +81-78-803-5610

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تاریخ انتشار 2005