from The American Heritage® Dictionary of the English Language, 4th Edition
- n. A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry. Fractals are used especially in computer modeling of irregular patterns and structures in nature.
from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. (Can we verify(+) this sense?) A geometric figure that repeats itself under several levels of magnification, and that shows self-similarity on all scales.
- n. (Can we verify(+) this sense?) A geometric figure that appears irregular at all scales of length, e.g. a fern.
- adj. Having the form of a fractal.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- n. (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry
Benoît Mandelbrot was that IBM employee who successfully measured the coastline of England in 1967, coined the term fractal in 1975 and opened new worlds in mathematics and now, I believe, human emotional understanding.
Ancient Celts believed in a giant man, the Greeks observed some basic shapes, the word "fractal" was coined in the Seventies.
A fractal is a geometric shape with a pattern that repeats itself at different scales of magnitude.
As such, I was not aware of the startling developments in fractal-firework technology.
Storm goes to Egypt to help out on old friend, taking Jubilee, and getting involved in fractal magic.
“Trees and ferns often grow in fractal forms,” this website tells us.
I tried observing my wife an plotting the results: If I were more versed in fractal geometry, I might say it was some kind Mandelbrot, but as it stands, it just seems to be a scatter graph of pure chaos.
On the plus side is an interesting plot - experts in fractal geometry are being killed off at an alarming rate and our hero Pepper Keane is investigating - which gives him, and therefore the reader, the opportunity to learn about fractal geometry ...
Each of these levels, each of these self-unified fragments, is in fractal terms called an "iteration."
A fractal is an "infinite line in a finite space" (139), and Gleick says that the fractal patterns occurring along this infinite line are "dynamical processes jelled into physical forms"