# Difference between revisions of "Fractal Dimension"

From Soft-Matter

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==Introduction== | ==Introduction== | ||

− | + | A fractal dimension is a statistical quantity that describes how a fractal appears to fill space. A fractal is an object that displays a property known as self-similarity, i.e. a geometric shape that can be reduced to smaller parts, with each smaller part being a reduced copy of the whole. There are several specific definitions of fractal dimensions, but the most important ones include Renyi dimensions and Haussdorf dimensions. | |

+ | == Examples of fractals== | ||

+ | |||

+ | There are many examples of fractals in nature. A koch snowflake is | ||

+ | |||

+ | == Fractals and polymers== | ||

## Revision as of 16:26, 4 December 2011

## Introduction

A fractal dimension is a statistical quantity that describes how a fractal appears to fill space. A fractal is an object that displays a property known as self-similarity, i.e. a geometric shape that can be reduced to smaller parts, with each smaller part being a reduced copy of the whole. There are several specific definitions of fractal dimensions, but the most important ones include Renyi dimensions and Haussdorf dimensions.

## Examples of fractals

There are many examples of fractals in nature. A koch snowflake is