An Attractive Attractor

Abstract

AbstractWe explore a family of closed curves in the plane. Each member of the family is the limit of self-intersecting polygonal curves. Nonetheless, most members of the family are simple closed curves. One, the “attractive attractor,” surrounds an infinite set of disjoint regions. AcknowledgmentsWe are grateful to the referee for a careful reading and many helpful suggestions.Additional informationNotes on contributorsHayden Ruff Hayden Ruff (hr442@drexel.edu) is a pre-candidacy mathematics Ph.D. student enrolled at Drexel University in Philadelphia, PA. He completed a B.S. in mathematics and physics at the University of Michigan – Flint, where he collaborated with and received instruction from Dr. Schilling. His research interests include signal processing, psychoacoustics, and applications of mathematics to the study of musicality.Kenneth Schilling Kenneth Schilling (ksch@umich.edu) received his Ph.D. from the University of California, Berkeley in 1981. He is professor emeritus of mathematics from the University of Michigan-Flint. During his years on the faculty, he loved working with students and interactiing with colleagues and pretty much everything about university life except grading exams.