Warning: Use of undefined constant referer - assumed 'referer' (this will throw an Error in a future version of PHP) in /usr/home/essaywo/public_html/essays on line 102

Warning: Use of undefined constant host - assumed 'host' (this will throw an Error in a future version of PHP) in /usr/home/essaywo/public_html/essays on line 105

Warning: Cannot modify header information - headers already sent by (output started at /usr/home/essaywo/public_html/essays:102) in /usr/home/essaywo/public_html/essays on line 106

Warning: Cannot modify header information - headers already sent by (output started at /usr/home/essaywo/public_html/essays:102) in /usr/home/essaywo/public_html/essays on line 109
The Fun Filled Fractal Phenome - Online Term Paper

The Fun Filled Fractal Phenome

non
A fractal is a type of geometric figure. It is generated by starting with a very simple pattern such as a triangle and, through the application of many repeated rules, adding to the figure to make it more complicated. Often, an input will be entered into a recursive function and it will yield an output. This output is then inserted back into the function as an input and the process is repeated infinitely. Fractals often exhibit self-similarity. This means that each small section of the fractal can be viewed as a reduced-scale replica of the whole. Some famous fractals include Sierpinski's triangle, Koch's snowflake and the length of a coastline. Fractals were brought to the ...

Want to read the rest of this paper?
Join Essayworld today to view this entire essay
and over 50,000 other term papers

to their initial conditions. Chaotic systems follow precise laws but their irregular behavior can appear to be random to the casual observer. For example, weather is a chaotic system. If the rays of the sun bounce off the hood of a car in a certain way, causing a breeze, the breeze could blow a leave off a tree, which starts a series of additional events that could alter the weather in some other part of the world. Chaos can be related to fractals. In a fractal if one tiny change occurs in a repeated pattern, the entire fractal will change. The above picture is an example of a strange attractor that charts the trajectory of a system in chaotic motion. It is a fractal. The fractal exhibiting chaos is predictably unpredictable. This is because, in a chaotic system, it is predictable that there will be minute changes that will alter the entire shape.
Koch's snowflake, (above ) exhibits the concept of an infinite perimeter with a finite area. Koch's snowflake is created by ...

Get instant access to over 50,000 essays.
Write better papers. Get better grades.

Already a member? Login

CITE THIS PAGE:

APA
MLA
Chicago
Turabian

The Fun Filled Fractal Phenome. (2008, July 24). Retrieved January 22, 2025, from http://www.essayworld.com/essays/The-Fun-Filled-Fractal-Phenome/87234

"The Fun Filled Fractal Phenome." Essayworld.com. Essayworld.com, 24 Jul. 2008. Web. 22 Jan. 2025. <http://www.essayworld.com/essays/The-Fun-Filled-Fractal-Phenome/87234>

"The Fun Filled Fractal Phenome." Essayworld.com. July 24, 2008. Accessed January 22, 2025. http://www.essayworld.com/essays/The-Fun-Filled-Fractal-Phenome/87234.

JOIN NOW

Join today and get instant access to this and 50,000+ other essays

PAPER DETAILS

Added: 7/24/2008 01:40:45 AM
Category: Miscellaneous
Type: Free Paper
Words: 1199
Pages: 5

Save |

Report

SHARE THIS PAPER

SAVED ESSAYS

Save and find your favorite essays easier