Classifying Frieze Patterns Without Using Groups

......... . ...sarah-marie belcastro (smbelcas@math.uni.edu), aside from being a mathematician, studies, choreographs, and performs ballet and modern dance. if, S^i I. ^^_. ^BSince receiving her doctorate from the iBE& H$'HI _ . !University of Michigan, she has held an .J *~~ ' _ ^^^I^Massistant professor position at the University |^ '' of Northern Iowa and is spending the '01-'02 year at Bowdoin College. She is both blessed and cursed by having a multitude of interests, including algebraic geometry, mathematical knitting, feminist philosophy of science, and paperfolding. She is known for her devotion to very active learning, to having a teal streak in her hair, and to Arzachel, her beloved feline.