
Benoit Mandelbrot is usually credited with discovering fractals in 1975. Mandelbrot was the one who invented the word. He was also the first to represent them visually. But some facts about fractals were known to mathematicians as far back as the 17th century.
Early Fractal Research
A fractal can be described as a pattern that is repeated at every scale. It cannot be replicated by classical geometry. The concept of self similarity was first brought up by the philosopher and mathematician Lebinz in the 17th century.
It wasn’t until 1872 before a function appropriate to be termed a fractal came into being. Karl Weierstrass showed an instance of a function that was continuous but could not be differentiated.
This definition was improved upon by Helge von Koch in 1904 when he defined it as a Koch curve. A study of the facts about fractals will show it is now called the Koch snowflake. In 1915, Wallow Sierpinski created a triangle and a carpet.
In 1938, Paul Levy came up with another fractal...





