# 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 e ^{D}=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...