Dimensions and Math
DIMENSION CALCULATIONS and FRACTALS
My granddaughter did extensive research and created the following using primarily two websites thinkquest.org and mathgrapher.com
Did you ever wonder what might be a calculation for the various dimensions? This is very important in understanding how self-similar fractals are mathematically calculated. A self-similar fractal is a repeat of itself to infinity.
The formula that applies is as follows:
Calculating eD=N Fractal Dimension using Self-Similarity
magnification dimension = # identical shapes
e = magnification
D = dimension
N = Resulting number of identical shapes
Fractals in Nature
- Fractal Geometry :: Fractals in Nature
A fractal is defined as 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," according to their "discoverer" Benoit...