Fractality of numeric and symbolic sequences

The behavior of systems can be studied to an extent, by analyzing the sequences generated by them. These systems can include galaxies, living beings, machines, or oceans, among others. Generally, these sequences contain numbers or symbols. For example, they can range from counting numbers (1, 2, 3, 4...) to DNA sequences (deoxyribo nucleic acid, GTCGTAGCTCCGTA) or from the duty cycle of a device (ON OFF OFF ON ON ON OFF) to an outcome like HHTTHTHHTT from a coin tossing experiment. Analyzing these sequences is one of the fundamental techniques applied in many scientific disciplines to study the systems they represent.