This chapter shows that constructions with origami are more powerful than constructions with a straightedge and compass. We give two constructions for trisecting an angle, one by HisashiAbe (Sect. 12.1) and the other by George E. Martin (Sect. 12.2), two constructions for doubling a cube, one by Peter Messer (Sect. 12.3) and the other by Marghareta P. Beloch (Sect. 12.4), and the construction of a nonagon, a regular polynomial with nine sides (Sect. 12.5).
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Ben-Ari, M. (2022). Geometric Constructions Using Origami. In: Mathematical Surprises. Springer, Cham. https://doi.org/10.1007/978-3-031-13566-8_12
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-13565-1
Online ISBN: 978-3-031-13566-8
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