On the Combinatorics of Demoulin Transforms and (Discrete) Projective Minimal Surfaces

The classical Demoulin transformation is examined in the context of discrete differential geometry. We show that iterative application of the Demoulin transformation to a seed projective minimal surface generates a Z 2 lattice of projective minimal surfaces. Known and novel geometric properties of t...

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Veröffentlicht in:	Discrete & computational geometry 2017, Vol.57 (1), p.215-230
Hauptverfasser:	McCarthy, Alan, Schief, Wolfgang K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial analysis Combinatorics Computational Mathematics and Numerical Analysis Envelopes Geometry Lattice theory Lattices Mathematics Mathematics and Statistics Minimal surfaces Seeds Texts Transformations Transforms
Online-Zugang:	Volltext
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