+ All Categories
Home > Documents > Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it...

Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it...

Date post: 04-Jan-2016
Category:
Upload: eustace-wells
View: 214 times
Download: 0 times
Share this document with a friend
Popular Tags:
12
A fractal fractal is a mathematical object that exhibits self self similarity similarity — it looks the same at any scale
Transcript
Page 1: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

A fractalfractal is a mathematical object that exhibits self self

similaritysimilarity — it looks the same at any scale

Page 2: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

Benoit MandelbrotProfessor of Mathematical Sciences

Yale University

Coined the Coined the word “fractal” word “fractal” in 1975in 1975

http://www-gap.dcs.st-and.ac.uk/~history/PictDisplay/Mandelbrot.html

Page 3: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

Fractal Sequence:• A fractal sequencefractal sequence contains an infinite number of copies of

itself, embedded within itself.• It is a pattern within a pattern within a

pattern

Page 4: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

• Fractals are often formed by what is called an iterative process

• to repeat exactly the same step over and over

Page 5: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

• Fractals are often formed by what is called an itertive process

• to repeat exactly the same step over and over

Page 6: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.
Page 7: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

Mathematics & Science Center

By: Corey Kisner and Cari FaszewskiBy: Corey Kisner and Cari FaszewskiMay 18, 2000May 18, 2000

Sierpinski Carpet

Page 8: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

Mathematics & Science Center

Eight Tangent Reflecting Spheresby Dave Matthews

2004

http://astronomy.swin.edu.au/~pbourke/povray/povfrac/final/

Page 9: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

Mathematics & Science Center

Frost on my windshieldby Betsey Davis2001

Page 10: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

Mathematics & Science Center

Tie-dyeby Betsey Davis2005

Page 11: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

Mathematics & Science Center

Seven Zebra Polesby Betsey Davis2005

Page 12: Fractal self similarity A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale.

Mathematics & Science Center

Seven Yellow Feathersby Betsey Davis2005


Recommended