Discrete Isothermic Nets Based on Checkerboard Patterns

This paper studies the discrete differential geometry of the checkerboard pattern inscribed in a quadrilateral net by connecting edge midpoints. It turns out to be a versatile tool which allows us to consistently define principal nets, Koenigs nets and eventually isothermic nets as a combination of...

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Veröffentlicht in:	Discrete & computational geometry 2024, Vol.72 (1), p.209-245
1. Verfasser:	Dellinger, Felix
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Computational Mathematics and Numerical Analysis Congruences Differential geometry Geometric transformation Geometry Invariants Mathematics Mathematics and Statistics Minimal surfaces Orthogonality Quadrilaterals
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