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arXiv · 1810.06852

Geometrische Konstruktionen und Origami

Kay Paulus
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Abstract

The aim of this article is to give practicing teachers an overview about the theory behind paperfolding, it is my qualifying thesis(Zulassungsarbeit) as a teacher in Germany. It is a survey about the relations between paperfolding and algebra, in particular Galois theory. We develop a system of fundamental foldings for paperfolding, discuss which field can be constructed using these techniques and advance to concrete constructions solving (classical) construction problems. Finally, we think about possible generalisations of the given system of fundamental constructions. Das Ziel dieser Arbeit ist es, aktiven Lehrern einen Überblick über die algebraische Theorie hinter Origami zu geben, der Artikel ist meine Zulassungsarbeit. Es handelt sich um einen Übersichtsartikel über die Relationen zwischen Origami und Algebra, insbesondere Galoistheorie. Wir entwickeln ein System von Grundkonstruktionen, diskutieren den Körper der mit Origami konstruierbaren Zahlen und wenden unser Wissen auf (klassische) Konstruktionsprobleme an. Zuletzt denken wir über mögliche Erweiterungen des gegebenen Systems fundamentaler Konstruktionen nach.

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BibTeXRIS

Kay Paulus. 2018-10-16. Geometrische Konstruktionen und Origami. https://arxiv.org/abs/1810.06852

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