Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles

Published 30 Apr 2024 in math.CO and cs.DM | (2404.19621v1)

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.

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Authors (1)

Shiying Dong

References (2)

D. Smith, J. S. Myers, C. S. Kaplan, and C. Goodman-Strauss. “An aperiodic monotile.” 2023. https://arxiv.org/abs/2303.10798
D. Smith, J. S. Myers, C. S. Kaplan, and C. Goodman-Strauss. “A chiral aperiodic monotile.” 2023. https://arxiv.org/abs/2305.17743

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