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Fractals  Koch and Sierpinski

Fractals (Math 4)+ 
Java Applet 
Tool 

[0]

Koch's curve is the boundary of the Koch Snowflake obtained by beginning with an equilateral triangle, removing the middle third of each side and replacing it with two sides of a smaller triangle, and...
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Fractals  Mandelbrot and Juli...

Fractals (Math 4)+ 
Java Applet 
Tool 

[0]

This virtual manipulative allows you to examine and experiment with the infinitely complex structure of Mandlebrot and Julia sets.
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Fractals  Polygon

Fractals (Math 4)+ 
Java Applet 
Tool 

[0]

Change the parameters to create a new fractal.
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Fractals: Koch Snowflake

Fractals (Math 4)+ 
Java Applet 
Activity 

[1]

This activity shows how to make the Koch Snowflake fractal handson, stepbystep by using triangle grid paper which is provided.
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Fractals: Sierpinski Triangle

Fractals (Math 4)+ 
Java Applet 
Activity 

[1]

This activity shows how to make a Sierpinski Triangle handson, stepbystep by using triangle grid paper which is provided.
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Koch Snowflake: Java Version

Fractals (Math 4)+ 
Java Applet 
Tool 

[0]

Users will build the Koch Snowflake incrementally using a Java Applet.
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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.
More: lessons, discussions, ratings, reviews,...

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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