Bridgewater State University
Mathematics Seminar
April 6, 2015, 3:30-4:30 PM

Speaker: Thomas Koshy
Title: Fibonacci and Pell Tilings

The extended Fibonacci family continues to be a fertile ground for exploration, creativity, pattern recognition, and conjecturing. After a brief introduction to Fibonacci, Lucas, Pell, and Pell-Lucas polynomials, and the corresponding numbers, we will investigate if distinct Fibonacci(Lucas) square tiles can be used to tile F_(n+1) x F_n (L_(n+1) x L_n) floors. We will construct combinatorial models for these four polynomial families, and the corresponding numbers. If time permits, we will then study Fibonacci and Pell walks.

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