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

Print

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

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