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On Dupin cyclides

Valk, M. van der (2009) On Dupin cyclides. Bachelor's Thesis, Mathematics.

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Abstract

Dupin cyclides are surfaces all lines of curvature of which are circular. We study, from an idiosyncratic approach of inversive geometry, this and more geometric properties, e.g., symmetry, of these surfaces to obtain a clear geometric description of Dupin cyclides. Furthermore, we investigate in terms of inversive geometry the application of Dupin cyclides in Computer Aided Geometric Design (CAGD) in blending between intersecting natural quadrics. Nowhere else in the literature, we found such a method and results of blending intersecting natural quadrics.

Item Type: Thesis (Bachelor's Thesis)
Supervisor:
Supervisor nameSupervisor E mail
xx, xxUNSPECIFIED
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 07:28
Last Modified: 18 Apr 2019 12:15
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/8576

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