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Journal for Geometry and Graphics 20 (2016), No. 1, 013--022
Copyright Heldermann Verlag 2016

Axioms for Origami and Compass Constructions

Roger C. Alperin
Dept. of Mathematics, San Jose State University, San Jose, CA 95192, U.S.A.

We extend the Huzita-Justin origami axioms to allow constructions with circles. These axioms allow many familiar constructions using conics. New origami examples are shown for trisecting an angle or extraction of a cube.

Keywords: Origami axioms, Alhazan's problem, angle trisection.

MSC: 51M15; 51N15

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