advertisement

advertisement

Information about Fractals Notes

Published on August 4, 2008

Author: acavis

Source: slideshare.net

Describes what fractals are and gives examples of them

advertisement

What is a fractal? A fractal is a geometric figure that can be broken down into parts; each part is a reduced-sized copy of the whole. A Fractal Uses the idea of “Self-Similarity” to make its design

Self Similarity In mathematics, an object is self-similar if it is exactly (or approximately) similar to itself In other words, the whole object has the same shape as one or more of its parts.

Self Similarity

Examples of Fractals… The Koch Snowflake - Helge von Koch

Examples of Fractals… The Koch Snowflake/Curve

Examples of Fractals… The Sierpinski Gasket aka The Sierpinski Triangle - Wacław Sierpiński

Examples of Fractals… The Sierpinski Carpet

Examples of Fractals… The Cantor Set - Georg Cantor

Examples of Fractals… The Dragon Curve Aka the Heighway Dragon (John Heighway )

Examples of Fractals… The Dragon Curve Aka the Heighway Dragon (John Heighway )

Examples of Fractals… The Mandelbrot Set

Examples of Fractals… Mandelbrot Zoom Videos Zoom Video #1 (Slow) Zoom Video #2 (Fast)

Fractal Art

Fractal Art

Fractal Art

Fractal Art

Fractal Art

Fractal Video Clip

Now, you are going to create one of the fractals that we saw in the slides…

Cynthia Lanius Fractals Teachers' Notes These lessons, written to comply with the NCTM Standards, use fractal geometry to introduce students to modern ...

Read more

Images of fractals can be created by fractal generating programs. Iterated function systems – use fixed geometric replacement rules; ... Notes References ...

Read more

Fractals of the Mists is a special type of dungeon that consists of an array of mini-dungeons called fractals, where each fractal has its own story and ...

Read more

Overview of Lecture • What are Fractals? • Fractals in Nature • Classic Fractals • How Long is the Coast of Britain? • Mandelbrot Set ...

Read more

A fractal dimension is an index for characterizing fractal patterns or sets by quantifying their complexity as a ratio of the change in detail to the ...

Read more

Fractals: Useful Beauty (General Introduction to Fractal ... What makes fractals even more interesting is that they are the best existing mathematical ...

Read more

Fractals: an Introduction through Symmetry for beginners to fractals, highlights magnification symmetry and fractals/chaos connections. This presentation is

Read more

Posts about Fractals written by eflnotes ... TESOL France Colloquium 2016 starts this Friday 19 November and no doubt the star attraction is linguist Diane ...

Read more

## Add a comment