Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles
Combinatorics
2024-05-01 v1 Discrete Mathematics
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.
Cite
@article{arxiv.2404.19621,
title = {Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles},
author = {Shiying Dong},
journal= {arXiv preprint arXiv:2404.19621},
year = {2024}
}
Comments
10 pages, 21 figures