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about.html
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<!doctype html>
<html>
<head>
<!-- META -->
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Chaos Game</title>
<!-- CSS -->
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/normalize/6.0.0/normalize.min.css" />
<link rel="stylesheet" href="https://fonts.googleapis.com/icon?family=Material+Icons">
<link rel="stylesheet" href="https://code.getmdl.io/1.3.0/material.light_blue-orange.min.css" />
<link href="//fonts.googleapis.com/css?family=Roboto:400,100,500,300italic,500italic,700italic,900,300">
<link rel="stylesheet" href="./style.css" />
<!-- JS -->
<script
src="https://code.jquery.com/jquery-3.2.1.slim.min.js"
integrity="sha256-k2WSCIexGzOj3Euiig+TlR8gA0EmPjuc79OEeY5L45g="
crossorigin="anonymous"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.4/lodash.min.js">
</script>
<script defer src="https://code.getmdl.io/1.3.0/material.min.js"></script>
</head>
<body>
<div class="mdl-layout mdl-js-layout mdl-layout--fixed-drawer mdl-layout--fixed-header">
<header class="mdl-layout__header">
<div class="mdl-layout__header-row">
<div class="mdl-layout-spacer"></div>
<span class="mdl-layout-title">
About the Chaos Game
</span>
</div>
</header>
<div class="mdl-layout__drawer">
<span class="mdl-layout-title">Chaos Game</span>
<!-- Navigation -->
<nav class="mdl-navigation">
<a class="
mdl-button
mdl-js-button
mdl-js-ripple-effect
mdl-button--large
mdl-button--accent
mdl-button--raised
" href="index.html">
simulation
</a>
</nav>
</div>
<main class="mdl-layout__content">
<div style="margin: 30px">
<h1>Chaos Game</h1>
<p>
This project was created to test the experiment explained in
<a href="https://www.youtube.com/watch?v=kbKtFN71Lfs">
Chaos Game - Numberphile
</a>.
<iframe height="220" src="https://www.youtube.com/embed/kbKtFN71Lfs" frameborder="0" allowfullscreen></iframe>
</p>
<p>
<h4>The idea is as follow:</h4>
<ul>
<li>We start with 3 fixed points on a map, A, B, C</li>
<li>We add an dynamic "voyager" point</li>
<li>The voyager moves halfway between its current position
and one of the fixed point (A, B, C) at random.</li>
</ul>
</p>
<p>
What we start noticing, is that there are several areas that
the "voyager" point keeps avoiding. Eventually, we put a trail
of all the points visited by the voyager point. We end up with
an interesting pattern.
</p>
<p>
With this project, you can add and move points as you please. It
doesn't get all that interesting with more than 4 points, but feel
free to play around with it.
</p>
<p>
We didn't get to implement the last experiment in the video, but if you'd
like us to try, feel free to drop us a comment!
</p>
<p>
You can email <a href="mailto:talk.to.the.brains@gmail.com">talk.to.the.brains@gmail.com</a>
or visit our <a href="https://github.com/The-Brains">Github page.</a>
</p>
</div>
</main>
</div>
</body>
</html>