Western Kentucky University TopSCHOLAR® Masters Theses & Specialist Projects Graduate School 5-2010 An Algorithm to Generate Two-Dimensional Drawings of Conway Algebraic Knots Jen-Fu Tung Western Kentucky University,
[email protected] Follow this and additional works at: http://digitalcommons.wku.edu/theses Part of the Discrete Mathematics and Combinatorics Commons, and the Numerical Analysis and Computation Commons Recommended Citation Tung, Jen-Fu, "An Algorithm to Generate Two-Dimensional Drawings of Conway Algebraic Knots" (2010). Masters Theses & Specialist Projects. Paper 163. http://digitalcommons.wku.edu/theses/163 This Thesis is brought to you for free and open access by TopSCHOLAR®. It has been accepted for inclusion in Masters Theses & Specialist Projects by an authorized administrator of TopSCHOLAR®. For more information, please contact
[email protected]. AN ALGORITHM TO GENERATE TWO-DIMENSIONAL DRAWINGS OF CONWAY ALGEBRAIC KNOTS A Thesis Presented to The Faculty of the Department of Mathematics and Computer Science Western Kentucky University Bowling Green, Kentucky In Partial Fulfillment Of the Requirements for the Degree Master of Science By Jen-Fu Tung May 2010 AN ALGORITHM TO GENERATE TWO-DIMENSIONAL DRAWINGS OF CONWAY ALGEBRAIC KNOTS Date Recommended __April 28, 2010___ __ Uta Ziegler ____________________ Director of Thesis __ Claus Ernst ____________________ __ Mustafa Atici __________________ ______________________________________ Dean, Graduate Studies and Research Date ACKNOWLEDGMENTS I would first like to acknowledge my thesis advisor, Dr. Uta Ziegler, for providing her guidance and great support on my studies of theory and programming in her lab since 2008. My writing, programming, and confidence have greatly improved under her supervision and encouragement. It has really been an honor to work with Dr.