Although he was inspired by such notable thinkers as Gregory Bateson and Buckminster Fuller, Volk has avoided going off on some of their more esoteric tangents. Tracing Technicalities Fractals trace the geometry of infinite iterations manifest on an ever diminishing scale. Iteration means a repetitive process. Infinity means endless extension. Diminishing scale means decreasing size.
Analystical geometry provides a graphical display of mathematical equations.
SO, fractals are pictures of cyclical equations which go on forever but get smaller at each successive phase. Now, THAT is perfectly clear, as illustrated below. Despite the claims of Galileo and Lord Kelvin, the book of nature is NOT written in a set of equations. Fractals can be fun to create, beautiful to watch, and useful to approximate certain kinds of structures, so don't get exaggerated expectations, just enjoy the exercise, and learn from it what you can. Hans Lauwerier's book walks us through the basics of fractal thinking and practice.