On totally real origami and impossible paper paper folding
Date of Publication
1997
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
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.
Abstract Format
html
Language
English
Format
Accession Number
TU08292
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
38 leaves
Keywords
Origami; Algebra, Abstract; Numbers, Real; Paper folding, Japanese
Recommended Citation
Bueno, J., & Reyes, L. B. (1997). On totally real origami and impossible paper paper folding. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16432