Title

On a rose is a rose...

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 paper presents a comprehensive discussion of the equation r = sin nO of the Polar Coordinate System. The equation r = sin nO is also known as the equation of a rose with n petals if n is odd and 2n petals if n is even. This paper also tackles some concepts in Group Theory.

All of the formulas stated in the theorems in this thesis are results given by Dr. Peter M. Maurer in his article A Rose is a Rose... which appeared in the September, 1987 issue of The American Mathematical Monthly Volume 94, Number 7. This thesis also discusses some algorithms which produces the graph of r = sin n).

A computer program using Microsoft Visual Studio 6.0 and Microsoft Visual C++ 6.0 was provided to better illustrate the remarkable graphs formed from this particular equation.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU10412

Shelf Location

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

Physical Description

85 leaves

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