Fractals are a special kind of curve. They are space filling curves and have dimensions that are between those of a line (D = 1) and an area (D = 2).
Euclid.
Euclid not Euripides
Pi is a number. There are no fractals of pi.
Crystals are usually not fractals.
Nobody. Fractals are not owned by anyone!
The Beauty of Fractals was created in 1986.
Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.
Fractals and chaos theory relate to music through their inherent patterns and complex structures, which can be reflected in musical compositions. Just as fractals exhibit self-similarity at different scales, musical motifs can recur and evolve throughout a piece, creating a rich tapestry of sound. Chaos theory, with its focus on sensitive dependence on initial conditions, parallels how slight variations in rhythm or harmony can lead to vastly different musical outcomes. This interplay can enhance creativity in music composition and performance, leading to innovative and unpredictable results.
There are infinitely many fractals so no list can exist.
By their very nature fractals are infinite in extent.
Fractals were discovered in 1975 by a scientist names Benoit Mandelbrot.