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Chaos is Everywhere Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[0]

Shows the wide spread use of fractals and chaos in science and nature.
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Dimension and Scale Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[1]

Discusses fractal dimension, how that dimension relates to scale, and the formula needed to calculate the fractal dimension of an object.
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Dimension for Irregular Fracta...

Fractals (Geometry) 
Java Applet 
Support Material 

[1]

Discusses the problem of determining the fractal dimension of irregular fractals and how the scale is indeterminite in these fractals.
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Hyperbolic Geometry Using Cabr...

Hyperbolic geometry (Geometry) 
Java Applet 
Support Material 

[0]

This page provides links to tools that demonstrates different concepts in hyperbolic geometry.
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Hypotrochoid

Special topics (Geometry) 
Java Applet 
Support Material 

[0]

This Math Images page catalogs the hypotrochoid, along with a basic description, mathematical explanations, related links, and references.
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Mandelbrot Set Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[1]

Shows how the set of all Julia Sets are used to create the classic Mandelbrot fractal.
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Plane Figure Fractals Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[0]

Compares fractals with one and two dimensional generators.
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Prisoners and Escapees  Julia...

Fractals (Geometry) 
Java Applet 
Support Material 

[1]

Defines the notion of prisoners and escapees as they pertain to iterative functions. A prisoner ultimately changes to a constant while escapees iterate to infinity.
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Properties of Fractals Dialogu...

Fractals (Geometry) 
Java Applet 
Support Material 

[0]

A dialogue between a student and a mentor about the properties of fractals.
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SelfSimilarity Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[0]

Discusses how fractals are selfsimilar objects.
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Fibonacci Numbers in Nature

Fibonacci sequence and spiral (Geometry) 
Computer 
Tool 

[1]

This series of slides shows photographs and drawings of plants in nature that exhibit and demonstrate the Fibonacci series. Animations are also included to help the students see the spirals and the g...
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Fractal Tool

Fractals (Geometry) 
Computer 
Tool 

[0]

Play with shapes that grow, shrink, and change over several stages. Explore selfsimilarity and patterns in fractal measurements. Can you see how these shapes are fractals?
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Random Triangles for Discoveri...

Geometric probability (Geometry) 
Fathom 
Tool 

[0]

Paul Myers created this demonstration as he was designing a Fathom project for Discovering Geometry. It shows when a triangle can be formed from the pieces after two random cuts are made in a 2...
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Another Hilbert Curve

Fractals (Geometry) 
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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Buffon Needle

Geometric probability (Geometry) 
Java Applet 
Tool 

[1]

Simulates dropping needles on a lined sheet of paper and determining the probability of the needles crossing one of the lines on the page. The result is that the probability is directly related to the...
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Buffon's Coin Experiment

Geometric probability (Geometry) 
Java Applet 
Tool 

[0]

Simulates the probability of a coin, dropped at random on a checkerboard, landing fully within a square. Radius of coin can be adjusted. Requires a (free) MathPlayer plugin.
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Coastline

Fractals (Geometry) 
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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Cob Web Plot

Special topics (Geometry) 
Java Applet 
Tool 

[0]

Change variables and observe patterns from this graphing simulation.
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Colorear los múltiplos en el T...

Fractals (Geometry) 
Java Applet 
Tool 

[0]

Los estudiantes colorean números en el Triángulo de Pascal escogiendo un número al azar y luego dando un clic en todas las entradas que son múltiplos del número escogido, practicando de esta manera...
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Colorear los residuos en el Tr...

Fractals (Geometry) 
Java Applet 
Tool 

[0]

Los estudiantes colorean números en el Triángulo de Pascal escogiendo un número al azar y luego dando un clic en todas las entradas que tienes el mismo residuo, cuando son divididos por el número e...
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Coloring Multiples in Pascal's...

Fractals (Geometry) 
Java Applet 
Tool 

[0]

Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables investigating numb...
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Coloring Remainders in Pascal'...

Fractals (Geometry) 
Java Applet 
Tool 

[0]

Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled.
Spanish version also avail...
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DiffusionLimited Aggregation:...

Fractals (Geometry) 
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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EggMath: Spherical Geometry

Spherical geometry (Geometry) 
Java Applet 
Tool 

[0]

The EggMath project is a website devoted to exploring different mathematical concepts related to eggs. This activity and applet explore and demonstrate certain concepts in spherical geometry.
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Euclid's Elements, Book I  El...

Spherical geometry (Geometry) 
Java Applet 
Tool 

[0]

Notes on elliptic geometry and its properties, as an alternative to Euclidean geometry. To reset the applet, press "r" while your cursor is over the diagram.
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