Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles
<|reference_start|>Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles: 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.<|reference_end|>
@article{dong2024fibonacci,
    title={Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles},
    author={Shiying Dong},
    journal={arXiv preprint arXiv:2404.19621},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.19621},
    primaryClass={math.CO cs.DM}
}