Page "Fractal" Paragraph 15

One often cited description that Mandelbrot published to describe geometric fractals is " a rough or fragmented geometric shape that can be split into parts, each of which is ( at least approximately ) a reduced-size copy of the whole "; this is generally helpful but limited.

Authorities disagree on the exact definition of fractal, but most usually elaborate on the basic ideas of self-similarity and an unusual relationship with the space a fractal is embedded in.