On approximating any regular polygon by folding paper strips
Date of Publication
1993
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
There exists a Euclidean construction of a regular N-gon for very few values of N, and even for these N, we do not know in all cases the explicit constructions.This thesis is an exposition of a better alternative to the Euclidean construction of the regular N-gon. It shows how to construct an approximation, to any desired degree of accuracy, a regular N-gon for any value of N. Explicity and uncomplicated constructions involving only the folding of a straight strip of paper are described and the corresponding mathematical theory is discussed. In the process, an interesting interplay of geometry, analysis and number theory is illustrated.
Abstract Format
html
Language
English
Format
Accession Number
TU06108
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
62 leaves
Keywords
Approximation theory; Polygons; Geometry--Problems, exercises, etc.; Algorithms; Euclid's Elements
Recommended Citation
Lazo, F. A., & Santos, R. F. (1993). On approximating any regular polygon by folding paper strips. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16097