vix.ing · top · new · best · stats · spec

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

2008/08/11 by Timothy Y. Chow, Chow, Timothy Y., Chenjie Fan +2
Computer Science · Mathematics · #51M15 #Algebraic Geometry (math.AG) #FOS: Mathematics #General Mathematics (math.GM) #History and Theory of Mathematics #Mathematics and Applications #Polynomial and algebraic computation #math.AG #math.GM #msc:51M15

paper · pdf · doi:10.48550/arxiv.0808.1517

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

arxiv created 2008/08/11 · openalex publication_date 2008/08/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related