The power of multifolds: Folding the algebraic closure of the rational numbers

Mathematics – Algebraic Geometry

Scientific paper

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9 pages; 4th Int'l Conf. Origami Sci. Math. Educ. (4OSME)

Scientific paper

It is well known that the usual Huzita-Hatori axioms for origami enable angle
trisection but not angle quintisection. Using the concept of a multifold, Lang
has achieved quintisection but not arbitrary algebraic numbers. We define the
n-parameter multifold and show how to use one-parameter multifolds to obtain
the algebraic closure of the rational numbers.

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