On totally real origami and impossible paper paper folding

• Main Authors: Bueno, Justin, Reyes, Leonard Joseph B.
• Format: text
• Language: English
• Published: Animo Repository 1997
• Subjects: Origami; Algebra, Abstract; Numbers, Real; Paper folding, Japanese
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16432
• Institution: De La Salle University

This thesis presents a comprehensive account of origami numbers. The use of origami numbers is an abstraction of paper folding. These numbers are generated from the set of origami constructible points. Thus, origami numbers are obtained through finite origami constructions. This study also provides some necessary/sufficient conditions for constructibility of shapes. This helps in determining why certain shapes are constructible and why some are not. All of the formulas stated in the theorems in this thesis are results given by David Auckly and John Cleveland in their article Totally Real Origami and Impossible Paper Folding. Since the article mentioned above did include brief descriptions and proof for the definitions and theorems, we provided explanations, discussion, and examples for the definitions and explicit proofs for the theorems in order for the readers to comprehend the study of origami numbers better.