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Thesis: A search for the regular tessellations of closed hyperbolic surfaces

Aalders, B.J. (2017) Thesis: A search for the regular tessellations of closed hyperbolic surfaces. Master's Thesis / Essay, Science Education and Communication.

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Abstract

In this thesis we study regular tessellations of closed orientable surfaces of genus 2 and higher. We differentiate between a purely topological setting and a metric setting. In the topological setting we will describe an algorithm that finds all possible regular tessellations. We also provide the output of this algorithm for genera 2 up to and including 10. In the metric setting we will prove that all topological regular tessellations can be realized metrically. Our method provides an alternative to that of Edmonds, Ewing and Kulkarni.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Science Education and Communication
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:31
Last Modified: 15 Feb 2018 08:31
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15805

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