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The Fract-ED Information Pages
LinkExchange Member
Thank you for visiting the Fract-ED pages. Herein are presented excerpts from the first installment of Fract-ED, along with descriptions and sample images from some of the forthcoming additions to the series.
What is Fract-ED?
Fract-ED is an introductory fractal tutorial intended for high school or college entry-level students. It is an informal discussion of some of the elements of fractal geometry, and includes interactive programs ...
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Exploring Fractals
by
Mary Ann Connors
publications and photos
Department of Mathematics and Statistics
University of Massachusetts Amherst
This World Wide Web project commenced in July 1994. It is is based on a curriculum, entitled "Exploring Fractal Dimension," developed by Mary Ann Connors and Anna Rose Haralampus at an NSF funded Institute for High School Mathematics Teachers at Georgetown University July - August, 1991. Its revision entitled "Exploring Fractals: From Cantor Dust to ...
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This page has nothing whatever to do with real ferns except the beauty of likenesses you can create of them.
Like many people, I've been fascinated by the images of ferns generated by computer using the mathematics of fractals. When I mentioned to a friend that I was developing a series of Web pages on ferns, he suggested I also include a piece on fractal ferns (thanks HR). This page is the result.
Put simply (probably a gross oversimplification), fractals generate points to plot on ...
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MultiPage
Fractal Frequently Asked Questions and Answers
There are reader questions on this topic!
Help others by sharing your knowledge
From: stepp@muvms6.mu.wvnet.edu (Ermel Stepp)
Newsgroups: sci.fractals
Subject: Fractal Frequently Asked Questions and Answers
Date: 23 Apr 1995 04:36:54 GMT
Message-ID:
Reply-To: stepp@marshall.edu
Summary: Fractal images, software, algorithms, definitions, and reference
Keywords: fractals, chaos, ...
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What Is a Fractal?
And who is this guy Mandelbrot?
Images and text by Alan Beck
The word "fractal" was coined less than twenty years ago by one of history's most creative mathematicians, Benoit Mandelbrot, whose seminal work, The Fractal Geometry of Nature, first introduced and explained concepts underlying this new vision. Although prior mathematical thinkers like Cantor, Hausdorff, Julia, Koch, Peano, Poincare, Richardson, Sierpinski, W ...
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Fractal Tutorial Page
LINK PAGE <<< Back to Koski's >>> HOME PAGE -P1
PI PAGE -P3 MATH ACTIVITY PAGE -P5 GAME PAGE -P4
Fractal Fun Page Fractal Gallery Page
I bet you are wondering what a fractal is!
A fractal is basically a small piece of an object that mimics that of a larger portion of that object.
Can You Picture It??
Lets think of some real ...
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Fractals and the Fractal Dimension
Mandelbrot and Nature
"Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line."(Mandelbrot, 1983).
The Concept of Dimension
So far we have used "dimension" in two senses:
The three dimensions of Euclidean space (D=1,2,3)
The number of variables in a dynamic system
Fractals, which are irregular geometric objects, require a third meaning:
The Hausdorff Dimens ...
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Fractint L-Systems Tutorial
A tutorial by William McWorter
mcworter@midohio.net
version 1.4
January 1997
WHAT ARE L-SYSTEMS
PLANTS
TILINGS
SPACEFILLING CURVES
TRUE FRACTALS
VARIATIONS
FURTHER INFORMATION
Back to The Fractint Home Page. or back to The Fractint Index Page.
This page maintained by
Noel Giffin,
noel@triumf.ca
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Kerry Mitchell
Book
Sixteen Variations
on a Single Theme
Galleries
sixteen
fifteenfourteenthirteen
twelveeleventen
nineeightseven
sixfivefour
threetwoone
Other Stuff
TutorialsFractal Articles
My Ultra Fractal Help Files Contact me or buy prints
All images © Kerry Mitchell
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Julia and Mandelbrot Set Explorer
David E. Joyce
For background on Julia and Mandelbrot sets, see the introduction. There is detailed help available for using this form. For more information on complex numbers, see Dave's Short Course on Complex Numbers. Also, check out the Applet to explore the Mandelbrot set.
Mandelbrot Set:
x in [-1.0,2.0];
y in [-1.5,1.5].
Parameters
Clicks on the Mandelbrot set image will
get a Julia set
magnify the ...
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Ask Dr. Math
High School Archive
Dr. Math Home || Elementary || Middle School || High School || College || Dr. Math FAQ
TOPICS
This page:
fractals
Search
Dr. Math
See also the
Internet Library:
fractals
HIGH SCHOOL
About Math
Analysis
Algebra
basic algebra
equations/graphs/
translations
linear algebra
linear equations
polynomials
Calculus
Complex Numbers
Calculators/
Computers
Definitions
Discrete Math
pe ...
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Suzanne's Math Lessons
Fractals
Suzanne Alejandre
Magic Squares || Multicultural Math Fair || Polyhedra || Tessellations
What is a fractal?
From the Fractal FAQ:
"A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole. Fractals are generally self-similar and independent of scale."
"There are many mathematical structures that are fractals; e.g. Sierpinski triangl ...
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You are visitor number since May 15, 1997.
Back to Projects
Welcome to Fractal World! On this web page, you will be introduced to the mysterious world of fractal geometry. You have the choice to learn about three major topics of fractal (see chart below).By clicking on "What is a Fractal?", you will find basic information on the formulas and origins of fractal geometry. Under "What is a Fractal? 2", I've included more complicated information like the Mandelbrot function, and imagina ...
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