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Studying Mandelbrot Fractals

Fractals (Math 4)+ 
Java Applet 
Tool 

[0]

What is a fractal? A definition and a Java applet to help in exploring the Mandelbrot set, redrawing small areas to fill the fractal screen and noticing how the images compare. Also links to other sit...
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The Sierpinski Triangle: Java ...

Fractals (Math 4)+ 
Java Applet 
Tool 

[0]

This activity shows how to make a Sierpinski Triangle stepbystep by using a Java applet.
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Tight Weave

Fractals (Math 4)+ 
Java Applet 
Tool 

[2]

Visualize the creation of the Sierpinski Carpet, an iterative geometric pattern that resembles a woven mat.
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Fractal Dimensions

Fractals (Math 5)+ 
Java Applet 
Tool 

[0]

This activity allows the user to calculate the fractal dimension of a series of regular fractals without access to a calculator.
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Fractals: An Introductory Less...

Fractals (Math 5)+ 
Java Applet 
Tool 

[0]

The purpose of this lesson is to learn very simple methods to construct fractals, to do and practice some math, to appreciate the beauty of fractals, and finally to have fun with math. The lesson i...
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Game of Chaos

Fractals (Math 5)+ 
Java Applet 
Tool 

[1]

The chaos game is simple but very interesting. A single die is needed to play the game, and the vertices of an equilateral triangle. Assign two outcomes of the die to each of the 3 vertices. For ex...
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Sierpinski's Carpet

Fractals (Math 5)+ 
Java Applet 
Tool 

[0]

This activity allows the user to step through the process of building the Sierpinski's Carpet.
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Chaos Dialogue

Fractals (Math 6)+ 
Java Applet 
Support Material 

[2]

Introduces the notion of chaos as the breakdown in predictability.
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Chaos is Everywhere Dialogue

Fractals (Math 6)+ 
Java Applet 
Support Material 

[0]

Shows the wide spread use of fractals and chaos in science and nature.
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Plane Figure Fractals Dialogue

Fractals (Math 6)+ 
Java Applet 
Support Material 

[0]

Compares fractals with one and two dimensional generators.
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The Fractal Microscope

Fractals (Math 6)+ 
Java Applet 
Tool 

[0]

A very versatile tool that allows users to explore, with very precise detail, aspects of Mandelbrot, Julia, and other sets iterated on complex numbers.
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Aggregation: Growing Fractal S...

Fractals (Math 7)+ 
Java Applet 
Activity 

[0]

Students investigate the models by which fractal patterns aggregate. Several questions are posed and different activities are suggested to go along with the DiffusionLimited Aggregation applet.
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Another Hilbert Curve

Fractals (Math 7)+ 
Java Applet 
Tool 

[0]

This activity allows the user to show how changing the generator slightly in a line replacement fractal can have a significant impact on the final product.
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Chaos

Fractals (Math 7)+ 
Java Applet 
Lesson Plan 

[0]

Learn the concepts and applications of chaos theory.
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Coastline

Fractals (Math 7)+ 
Java Applet 
Tool 

[0]

Students can investigate the idea that the coastline is a practical example of a fractal with this applet.
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DiffusionLimited Aggregation:...

Fractals (Math 7)+ 
Java Applet 
Tool 

[0]

This simulation shows two different ways fractals can be aggregated, either by a random walk or by special parameters of a straight walk.
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Exponents and Logarithms Dialo...

Fractals (Math 7)+ 
Java Applet 
Support Material 

[1]

Gives an introduction to the concept of a logarithms and shows how logs can be used to calculate fractal dimension.
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Flake Maker

Fractals (Math 7)+ 
Java Applet 
Tool 

[1]

This activity allows the user to build custom line deformation fractals.
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Fractal Coastline

Fractals (Math 7)+ 
Java Applet 
Lesson Plan 

[0]

This lesson plan provides a practical application of fractals for students: the coastline. Teachers give students different handson activities as well as work with a Java applet that shows the fracta...
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Fractal Properties

Fractals (Math 7)+ 
Java Applet 
Lesson Plan 

[0]

This lesson is an overview of fractal properties with definitions and activities.
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Fractal Tree

Fractals (Math 7)+ 
Java Applet 
Tool 

[0]

This applet allows you to play with a fractal tree.
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Fractals and the Chaos Game

Fractals (Math 7)+ 
Java Applet 
Lesson Plan 

[0]

Introduces the chaos game and how it relates to geometric fractals.
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Hilbert Curve Generator

Fractals (Math 7)+ 
Java Applet 
Tool 

[0]

This activity allows the user to step through the generation of a fractal made from deforming a line by bending it.
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Introduction to Fractals: Geom...

Fractals (Math 7)+ 
Java Applet 
Lesson Plan 

[0]

This activity is designed to further the work of the Infinity, SelfSimilarity and Recursion lesson by showing students other classical fractals, the Sierpinski Triangle and Carpet, this time involvin...
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Introduction to Fractals: Infi...

Fractals (Math 7)+ 
Java Applet 
Lesson Plan 

[0]

This lesson is designed to get students to think about several of the concepts from fractals, including recursion and self similarity. The mathematical concepts of line segments, perimeter, area and i...
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