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Skin surfaces in Moebius geometry

Eising, J. (2017) Skin surfaces in Moebius geometry. Master's Thesis / Essay, Marine Biology.

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Abstract

Studying the geometry of Van der Waals surfaces of molecules gives rise to the question: "Can we find smooth, continuous surfaces to `wrap around' a certain set of spheres?". The theory of skin surfaces gives a simple algorithm to find this kind of surfaces. Underlying this relatively simple algorithm, however, are some quite interesting geometric properties, most of which can be related to orthogonality of sets of spheres. A natural way to work with orthogonal spheres is in the Möbius (or conformal) geometry. In this thesis we show how to view these skin surfaces inside the Möbius space directly.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Marine Biology
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:26
Last Modified: 15 Feb 2018 08:26
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/14908

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