S-Conical CMC Surfaces. Towards a Unified Theory of Discrete Surfaces with Constant Mean Curvature

Alexander I. Bobenko () and Tim Hoffmann ()
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Alexander I. Bobenko: Technische Universität Berlin, Inst. für Mathematik
Tim Hoffmann: Technische Universität München, Zentrum Mathematik – M10

A chapter in Advances in Discrete Differential Geometry, 2016, pp 287-308 from Springer

Abstract: Abstract We introduce a novel class of s-conical nets and, in particular, study s-conical nets with constant mean curvature. Moreover we give a unified description of nets of various types: circular, conical and s-isothermic. The later turn out to be interpolating between the circular net discretization and the s-conical one.

Keywords: Parallel Edge; Isotropic Vector; Discrete Surface; Mixed Area; Planar Polygon (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-50447-5_9

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DOI: 10.1007/978-3-662-50447-5_9

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