This essay explores the prevalence and functional significance of fractals in the nervous system, focusing on their role in power-law scaling, self-similarity, and self-organized criticality. The author documents the occurrence of fractal patterns at various levels of neural organization, from ion channels to cortical networks, and discusses their implications for understanding brain dynamics and criticality. The essay highlights the importance of allometric control processes and the capacity of dynamic fractals to adapt to contextual changes across scales. It also examines the relationship between fractal organization and phase transitions in complex systems, and the potential role of fractal properties in functional integration among different levels of neuronal organization. The author concludes by reflecting on the implications of these findings for future research in theoretical neuroscience.This essay explores the prevalence and functional significance of fractals in the nervous system, focusing on their role in power-law scaling, self-similarity, and self-organized criticality. The author documents the occurrence of fractal patterns at various levels of neural organization, from ion channels to cortical networks, and discusses their implications for understanding brain dynamics and criticality. The essay highlights the importance of allometric control processes and the capacity of dynamic fractals to adapt to contextual changes across scales. It also examines the relationship between fractal organization and phase transitions in complex systems, and the potential role of fractal properties in functional integration among different levels of neuronal organization. The author concludes by reflecting on the implications of these findings for future research in theoretical neuroscience.