The connections between the supertile geometry and integer sequences like the Fibonacci and Lucas sequences have the potential to have applications beyond tiling, such as in number theory and computer science. The presence of these well-known integer sequences in the supervectors of the supertiles suggests a deeper connection between aperiodic monotiles and fundamental mathematical concepts. These connections could be leveraged to develop new algorithms for generating Fibonacci and Lucas sequences efficiently. Moreover, the discovery of a new integer sequence linearly related to the Lucas sequence in the rotational angles of the supertiles opens up possibilities for applications in number theory. Understanding how these integer sequences manifest in the geometric properties of aperiodic monotiles could lead to advancements in algorithm design, cryptography, and other computational fields that rely on number theory principles.