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Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles (2404.19621v1)
Published 30 Apr 2024 in math.CO and cs.DM
Abstract: This paper first discusses the size and orientation of hat supertiles. Fibonacci and Lucas sequences, as well as a third integer sequence linearly related to the Lucas sequence are involved. The result is then generalized to any aperiodic tile in the hat family.