Further studying the combinatorial and fractal-like properties of aperiodic monotile systems may uncover additional mathematical structures and sequences beyond the Fibonacci and Lucas sequences. Exploring the intricate relationships between the supervectors, rotational angles, and scaling factors of the supertiles could lead to the discovery of new mathematical patterns and sequences. For instance, investigating the behavior of the tangent of incremental rotational angles in the fractal limit could reveal novel mathematical properties that extend beyond the known sequences. By delving deeper into the geometric and combinatorial aspects of aperiodic monotile systems, mathematicians may uncover hidden mathematical structures that have applications in various fields of mathematics.