Dimensions and Math

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 e^D=N Fractal Dimension using Self-Similarity

magnification ^dimension = # identical shapes

e = magnification

^D = dimension

N = Resulting number of identical shapes