- Education and Science
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...