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<html>
<head>
<title>Mathematical Demonstrations</title>
<meta charset="utf-8">
<link rel="stylesheet" href="css/bootstrap.min.css">
<link rel="stylesheet" href="css/style.css">
<link rel="shortcut icon" type="image/png" href="favicon.png">
</head>

<body>
<h2>Mathematical Demonstrations</h2>
<a class="header_link" href="index.html">Home</a>
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<a class="header_link" href="apps.html">Android Apps</a>
<hr>

<img src="screenshots/modularpascal.png" width=256 height=256><br>
<a href="modularpascal.html">Modular Pascal's Triangle</a><br>
<p>
A picture of Pascal's triangle mod x. Set x and<br>
Click update to see the triangle. </p>
<hr>

<img src="screenshots/modularcircles.png" width=250 height=250><br>
<a href="modularcircles.html">Modular Circles</a><br>
<p>
There are a circle of points, each one corresponding<br>
to a number. Lines are drawn between points according<br>
to rules. Create interesting shapes like cardioids<br>
</p>
<hr>

<img src="screenshots/shaperoller.png" width=250 height=250><br>
<a href="shaperoller.html">Shape Roller</a><br>
<p>
This program rolls (invisible) shapes around other <br>
(invisible) shapes and traces a point on the shape as<br>
it moves along. Create interesting shapes like cardioids.<br>
</p>
<hr>

<img src="screenshots/mandelbrot.png" width=250 height=250><br>
<a href="mandelbrot.html">The Mandelbrot Set</a><br>
<p>
This program draws the Mandelbrot Set. You can<br>
zoom in and change the power.<br>
</p>
<hr>

<img src="screenshots/ant.png" width=250 height=250><br>
<a href="ant.html">Langton's Ant</a><br>
<p>
This is the cellular automaton known as Langton's<br>
Ant. You can find out more about it <a href="https://en.wikipedia.org/wiki/Langton%27s_ant">here</a>.
</p>
<hr>

<img src="screenshots/mazesolver.png" width=200 height=200><br>
<a href="mazesolver.html">Maze Solver</a><br>
<p>
Create a maze, choose a starting point and an<br>
ending point, and your computer will solve the<br>
maze.
</p>
<hr>


<img src="screenshots/AutoImages.png" width=200 height=200><br>
<a href="AutoImages.html">AutoImages</a><br>
<p>
A computer program that creates art. It uses<br>
random functions to generate images. An explanation<br>
can be found <a href="explanation.html">here</a>.<br>
There is also AutoArtEvolve, which improves its<br>
images based on the ones you prefer:<br>
<iframe frameborder="0" src="https://itch.io/embed/43294?linkback=true&amp;bg_color=fafafa&amp;fg_color=000000&amp;link_color=5ca4fa&amp;border_color=9f9f9f" width="552" height="167"></iframe>
</p>
<hr>

<video width="250" height="250" controls>
	<source src="autovideo.mp4" type="video/mp4">
</video><br>
<a href="AutoVideos.html">AutoVideos</a><br>
<p>
A computer program that creates videos. It uses<br>
random functions to generate videos. An explanation<br>
can be found <a href="explanation.html">here</a>.<br>
</p>
<hr>

<audio controls>
	<source src="autoaudio.wav" type="audio/wav">
</audio><br>
<a href="AutoAudio.html">AutoAudio</a><br>
<p>
A computer program that creates audio. It uses<br>
random functions to generate audio. An explanation<br>
can be found <a href="explanation.html">here</a>.<br>
</p>
<hr>


<img src="screenshots/NameGenerator.png" width=200 height=200><br>
<a href="NameGenerator.html">NameGenerator</a><br>
<p>
A computer program that generates names! It uses<br>
the frequencies of trigrams.<br>
</p>
<hr>

<img src="screenshots/picalculator.png" width=250 height=250><br>
<a href="2pi.html">π Calculator</a><br>
<p>
Draw a circle, then find out how well your circle<br>
approximates π!<br>
</p>


</body>