If the Divine Monochord is the universe as a string, a Fractal is the universe as a recursive equation.
The term was coined by Benoit Mandelbrot in 1975 to describe shapes that "standard" Euclidean geometry (circles, squares) couldn't explain. Fractals inhabit the space between dimensions.Self-Similarity: If you zoom into a fractal, you find smaller versions of the whole. This is the Law of Octaves in visual form—the same pattern repeating at higher and lower "frequencies."The Mandelbrot Set: Defined by the simple iterative formula $z_{n+1} = z_n^2 + c$. Despite its simplicity, when graphed, it produces a boundary of infinite detail that never repeats.Fractional Dimension: A fractal line is more than 1D but less than 2D because it "wiggles" so much it begins to fill space. This is a measure of Complexity and Entropy.
Researcher Note:
Biological Fractals: Your lungs, your circulatory system, and the neurons in your brain are fractals. This allows your body to facilitate massive energy exchange within a compact Persona.
Biological Fractals: Your lungs, your circulatory system, and the neurons in your brain are fractals. This allows your body to facilitate massive energy exchange within a compact Persona.