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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<head>
<meta name="GENERATOR" content="mkd2html 2.1.5a DL=DISCOUNT">
<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=utf-8">
<link rel="stylesheet"
type="text/css"
href="../hint.css">
<title>Most solid</title>
</head>
<body>
<h1>Most solid</h1>
<p>Yusuke Endoh<br>
<a href="&#x6d;&#97;&#105;&#x6c;&#116;&#x6f;&#x3a;&#109;&#97;&#109;&#x65;&#64;&#x72;&#x75;&#98;&#121;&#45;&#x6c;&#97;&#x6e;&#x67;&#x2e;&#x6f;&#x72;&#103;">&#x6d;&#97;&#109;&#x65;&#64;&#x72;&#117;&#98;&#x79;&#45;&#108;&#97;&#x6e;&#103;&#x2e;&#x6f;&#x72;&#x67;</a><br>
<a href="https://github.com/mame/">https://github.com/mame/</a></p>
<h2>Judges' comments:</h2>
<h3>To build:</h3>
<pre><code>make endoh4
</code></pre>
<h3>To run:</h3>
<pre><code>./endoh4
</code></pre>
<h3>Try:</h3>
<p>NOTE: The author recommends the use of xterm.</p>
<pre><code>./endoh4 &lt; cube.txt
</code></pre>
<p>For example, if you are a soccer fan, try:</p>
<pre><code>make all
./endoh4 &lt; solids/archimedian-solid/a11-truncated-icosahedron.txt
</code></pre>
<h3>Selected Judges Remarks:</h3>
<p>This program is formatted as the net for a tetrahedron. (hint, try feeding the
program it&rsquo;s own source code). When it runs there is an animation for the
computation to work out the convex hull.</p>
<h2>Author&rsquo;s comments:</h2>
<h3>Spec</h3>
<p>This is a convex polyhedron viewer, which:</p>
<ol>
<li>reads three-dimentional vertices (3N float values) from stdin,</li>
<li>calculates a convex hull of them, and</li>
<li>renders it.</li>
</ol>
<p>This simple spec involves many details.</p>
<ul>
<li>3D convex hull calculation
<ul>
<li>recursive gift wrapping algorithm</li>
<li>automatical merging of (almost) co-planar faces
(i.e., faces are not triangulated)</li>
<li>random perturbation for robustness</li>
</ul>
</li>
<li>3D rendering
<ul>
<li>perspective projection</li>
<li>ASCII line drawing: <code>"',;;;,;'"</code></li>
<li>camera in a spherical spiral orbit</li>
</ul>
</li>
</ul>
<p>(Note that this program does not use <code>math.h</code>.)</p>
<h3>Portability</h3>
<p>I think it conforms with both C89 and C99.
I confirmed that it worked on gcc, clang, and tcc.
It should not be warned with -pedantic and -Wextra.</p>
<h3>Tips</h3>
<p>You may want to use <code>tput</code> to hide a terminal cursor.</p>
<pre><code>tput civis
./endoh4 &lt; cube.txt
tput cnorm
</code></pre>
<h3>Bonuses</h3>
<p>You can change the screen size. Let the aspect ratio be about 3:1.</p>
<pre><code>gcc -DS=120,40 -o endoh4 endoh4.c
</code></pre>
<p>The shape of this code is the geometric net of a regular tetrahedron.
So, try:</p>
<pre><code>./endoh4 &lt; endoh4.c
</code></pre>
<p>The solids.tbz2 file includes various solid data:
<a href="http://en.wikipedia.org/wiki/Platonic_solid">Platonic solids</a>,
<a href="http://en.wikipedia.org/wiki/Archimedean_solid">Archimedean solids</a>,
<a href="http://en.wikipedia.org/wiki/Prism_%28geometry%29">Prisms</a>,
<a href="http://en.wikipedia.org/wiki/Antiprism">Antiprisms</a>,
<a href="http://en.wikipedia.org/wiki/Bipyramid">Bipyramids</a>,
<a href="http://en.wikipedia.org/wiki/Trapezohedron">Trapezohedrons</a>, and
<a href="http://en.wikipedia.org/wiki/Johnson_solid">Johnson solids</a>.</p>
<p>I created the files by using the POV-Ray scripts
(<a href="http://en.wikipedia.org/wiki/File:Poly.pov">1</a> and
<a href="http://en.wikipedia.org/wiki/User:AndrewKepert/poly.pov">2</a>)
in Wikipedia.
They are copyrighted in CC BY-SA 3.0
by &ldquo;User:Cyp&rdquo; and &ldquo;User:AndrewKepert&rdquo;.</p>
<hr />
<TABLE><TR>
<TD><a rel="license" href="http://creativecommons.org/licenses/by-sa/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-sa/3.0/88x31.png" /></a></TD>
<TD><P>&copy; Copyright 1984-2015,
<A HREF="/judges.html">Leo Broukhis, Simon Cooper, Landon Curt Noll</A>
- All rights reserved<BR>
This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/3.0/">Creative Commons Attribution-ShareAlike 3.0 Unported License</a>.</P></TD>
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</TR></TABLE>
</body>
</html>