A piece of sheet music is two-dimensional. A cigar box guitar is three-dimensional. Music is multi-dimensional. What about the space between? A fractal is an idea with a fractional dimension.
Many fractal generations come from or result in self-similarity by means of recursion and result in intricate complex pictures.
Here is a ::Survey of fractals:: I made for a class in college.
See also a musical composition based on fractal forms: ::Score:: // ::Explanation:: // ::Listen::
Alexander's Horned Sphere Spray Paint
Alexander's Horned Sphere cutout
Sierpinski Gasket Cutout
Computer-generated Sierpinski Gasket
Computer-generated Sierpinski Gasket 2
Mandelbrot Zoom
Frame-by-frame Mandelbrot
Cigar Box Guitar Mandelbrot
Julia Set
Lopsided Cantor Set
Koch Curve
Koch Snowflake
Trevor Bass Fractal
Trevor Cascading Fractal