Final answer:
Visualizing fractals like the Mandelbrot set allows us to conceive infinity in a way that mirrors both mathematical patterns and art installations. It reflects the idea of an infinite universe and patterns that repeat endlessly, which illustrates the concept of infinity both in math and our natural perception.
Step-by-step explanation:
'In the mind's eye, a fractal way of seeing infinity' refers to visualizing and understanding infinite patterns and structures that are self-similar across different scales, known as fractals. Using the example of the Mandelbrot set, which is a famous fractal, we see that as we zoom into the pattern, it reveals an infinitely repeating complexity that is chaotic yet displays an underlying order. This can be akin to observing parts of Kusama's infinity rooms, where dotted pumpkins reflected through mirrors create an illusion of endless repetition and infinity.
Imagine being in a fog or looking at the horizon on the curved surface of Earth where there's a limit to what you can see. As you move, what was once your horizon shifts, revealing new vistas. This concept parallels how fractals work, wherein every new detail infinitely reveals itself as you explore deeper, much like how the universe seems to stretch endlessly, or how mathematics suggest patterns such as the Möbius strip that appear infinite.
An appreciation of fractals is not just limited to mathematics but also extends to art, nature, and even philosophy, where conceptions of the infinite can be expressed through various mediums and thought experiments. The intricate details and infinite nature of fractals capture our imagination, virtually expanding our mind's eye to consider the vastness and complex beauty of infinity.