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Mini-Course #1 (Part2): Folding Sevens: The Power of Origamiâ

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Mini-Course #1 (Part2): Folding Sevens: The Power of Origamiâ
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13
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Release Date2021
LanguageEnglish

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Abstract
The sixth Huzita-Justin origami axiom, first discovered by Italian mathematician Margherita Beloch, allows for geometric constructions not possible with a compass and straightedge. Some of the problems that stumped early geometers but are solvable with this move include trisecting the angle, doubling the cube, solving cubic equations, and constructing regular heptagons. Utilizing origami, we will demonstrate how this so-called Beloch move is equivalent to finding the mutual tangent to two parabolas and unlock the mystery of a sevenfold Islamic pattern. Recommended materials: Plain printer paper and pencil/pen