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Totally real origami and impossible paper folding

2004/07/10 by David Auckly, John Cleveland
Mathematics · #math.HO #msc:51-01

paper · pdf

published as Amer. Math. Monthly 102 (1995), no. 3, 215--226 · This is an old paper that is being posted now to allow for better electronic acess

arxiv created 2004/07/10 · arxiv updated 2009/12/01

Abstract

This paper gives one set of axioms for origami constructions, and describes the set of constructible points under these axioms. The determination of the set of cunstructible points for this particular set of axioms is related to Hilbert's 17 th problem.

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