Title

A study on the symmetries of fabric designs generated by sequence of periods two and three

Date of Publication

2001

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Abstract/Summary

This thesis report is based on the article of Branko Grunbaum and Geoffrey Shephard entitled Satins and Twills : An introduction to the geometry of fabrics. The concept of sequences from calculus was extended to two-way infinite sequences. We restrict those sequences to sequences of zeros and ones with period n = 2 and n = 3. Here, we describe and illustrate a procedure for obtaining a fabric design from such sequence. For each period n = 2 and n = 3, we determined all reflections, translations and rotations of the plane which are symmetries of the design.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU10733

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

51 leaves

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