Abstract

In this article, we explore how geometric objects named fractals provide a perfect subject to understand the notion of the sublime. In doing so, we see how their definition as one-dimensional objects, two-dimensional objects, and then as three-dimensional objects allows visual interpretation of their infinite nature. Then, we explore how many facets of their infinite nature can be linked to the definition and perception of the sublime. Finally, we seek for wider definition of these objects both as mathematical objects and as contemporary mythological objects of the digital age. This final step confirms the inherent connection between fractals and the sublime from both sides of their definitions: the creation and the perception. This connection is made clear through a list of references from the writings of German philosopher Immanuel Kant. The impossibility of constructing infinite geometrical objects embedded in an infinity of mathematical dimensions and the impossibility of perceiving fully the infinity of the sublime is finally stated as their deepest common root.