\BOOKMARK [1][-]{section.1}{Introduction}{} \BOOKMARK [1][-]{section.2}{The Hausdorff Metric}{} \BOOKMARK [1][-]{section.3}{Betweenness in H\(Rn\)}{} \BOOKMARK [1][-]{section.4}{Finding Points Between A and B}{} \BOOKMARK [1][-]{section.5}{String and Polygonal Configurations}{} \BOOKMARK [1][-]{section.6}{Polygonal Chains}{} \BOOKMARK [2][-]{subsection.6.1}{Adjoining Configurations}{section.6} \BOOKMARK [1][-]{section.7}{Finding \043\(PCm,lk\)}{} \BOOKMARK [1][-]{section.8}{Polygonal Chain Sequences}{} \BOOKMARK [1][-]{section.9}{Asymptotic Behavior}{} \BOOKMARK [2][-]{subsection.9.1}{Fixing m and l}{section.9} \BOOKMARK [2][-]{subsection.9.2}{Limits of Fibonacci and Lucas Sequences}{section.9} \BOOKMARK [2][-]{subsection.9.3}{Fixing k and l}{section.9} \BOOKMARK [2][-]{subsection.9.4}{Fixing k and m}{section.9} \BOOKMARK [1][-]{section.10}{Conclusion}{} \BOOKMARK [1][-]{section.11}{Acknowledgements}{}