University of South Florida Scholar Commons Graduate Theses and Dissertations Graduate School 1-1-2011 Fundamental Transversals on the Complexes of Polyhedra Joy D'Andrea University of South Florida,
[email protected] Follow this and additional works at: http://scholarcommons.usf.edu/etd Part of the American Studies Commons, and the Mathematics Commons Scholar Commons Citation D'Andrea, Joy, "Fundamental Transversals on the Complexes of Polyhedra" (2011). Graduate Theses and Dissertations. http://scholarcommons.usf.edu/etd/3746 This Thesis is brought to you for free and open access by the Graduate School at Scholar Commons. It has been accepted for inclusion in Graduate Theses and Dissertations by an authorized administrator of Scholar Commons. For more information, please contact
[email protected]. Fundamental Transversals on the Complexes of Polyhedra by Joy D'Andrea A thesis submitted in partial fulfillment of the requirements for the degree of Master of Arts Department of Mathematics College of Arts and Sciences University of South Florida Major Professor: Gregory L. McColm, Ph.D. Richard Stark Ph.D. Fredric Zerla Ph.D. Date of Approval: January 25, 2011 Keywords: Polyhedra, K-skeletons, Complexes, Crystal Nets, Geometric Group Theory, Graphs Copyright ⃝c 2011, Joy D'Andrea DEDICATION To my favorite Basset Hound Bernie, and my Parents. ACKNOWLEGEMENTS First I would like to thank my advisor Dr. Gregory L. McColm, for the guidance, support, and direction through this whole thesis. I have learned so much from you. I would like to thank my committee members Dr. Richard Stark and Dr. Fredric Zerla for being patient and helpful throughout the thesis process.