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    <fireside:genDate>Fri, 26 Jun 2026 22:19:28 +0000</fireside:genDate>
    <generator>Fireside (https://fireside.fm)</generator>
    <title>Odds and Evenings - Episodes Tagged with “Algorithms”</title>
    <link>https://www.oddsandevenings.com/tags/algorithms</link>
    <pubDate>Wed, 26 Sep 2018 02:00:00 +0100</pubDate>
    <description>Playing around with maths and puzzles was something that the two hosts spent their time at university doing together. Now in their late twenties with proper grown up jobs, Alaric and Alex carve out the occasional evening to sit back and smell the numbers. Not all of the mathematics is entry level, but they envisioned this podcast for those people whose science degrees may be long behind them, but who still get a kick out of recreational numbering. If this is your first time listening, episode 4 is a good representation of the show as a whole and can be used as a jumping on point. All episodes can be played in browser here or you can subscribe on all major podcast apps.</description>
    <language>en-gb</language>
    <itunes:type>episodic</itunes:type>
    <itunes:subtitle> A podcast about mathematics, puzzles, numbers and games</itunes:subtitle>
    <itunes:author>Odds and Evenings</itunes:author>
    <itunes:summary>Playing around with maths and puzzles was something that the two hosts spent their time at university doing together. Now in their late twenties with proper grown up jobs, Alaric and Alex carve out the occasional evening to sit back and smell the numbers. Not all of the mathematics is entry level, but they envisioned this podcast for those people whose science degrees may be long behind them, but who still get a kick out of recreational numbering. If this is your first time listening, episode 4 is a good representation of the show as a whole and can be used as a jumping on point. All episodes can be played in browser here or you can subscribe on all major podcast apps.</itunes:summary>
    <itunes:image href="https://media24.fireside.fm/file/fireside-images-2024/podcasts/images/b/b3fcc274-493e-4d2e-87a4-3d1ae3127c05/cover.jpg?v=1"/>
    <itunes:explicit>no</itunes:explicit>
    <itunes:keywords>Maths, Math, Mathematics, Podcast, Puzzles, Game Theory, Science, Physics, Numbers, Games</itunes:keywords>
    <itunes:owner>
      <itunes:name>Odds and Evenings</itunes:name>
      <itunes:email>oddsevenings@gmail.com</itunes:email>
    </itunes:owner>
<itunes:category text="Science">
  <itunes:category text="Mathematics"/>
</itunes:category>
<itunes:category text="Science">
  <itunes:category text="Physics"/>
</itunes:category>
<itunes:category text="Science">
  <itunes:category text="Natural Sciences"/>
</itunes:category>
<item>
  <title>#20 - Tangles, Twists and Trots</title>
  <link>https://www.oddsandevenings.com/20</link>
  <guid isPermaLink="false">dfc7a748-4ce4-4160-a7a3-7ab64b69a270</guid>
  <pubDate>Wed, 26 Sep 2018 02:00:00 +0100</pubDate>
  <author>Odds and Evenings</author>
  <enclosure url="https://aphid.fireside.fm/d/1437767933/b3fcc274-493e-4d2e-87a4-3d1ae3127c05/dfc7a748-4ce4-4160-a7a3-7ab64b69a270.mp3" length="88365665" type="audio/mp3"/>
  <itunes:episodeType>full</itunes:episodeType>
  <itunes:author>Odds and Evenings</itunes:author>
  <itunes:subtitle>Topics Discussed:

- Untangling Planar Graphs
- The Length of Spirals
- Juggling and Horse Gaits</itunes:subtitle>
  <itunes:duration>1:01:21</itunes:duration>
  <itunes:explicit>no</itunes:explicit>
  <itunes:image href="https://media24.fireside.fm/file/fireside-images-2024/podcasts/images/b/b3fcc274-493e-4d2e-87a4-3d1ae3127c05/episodes/d/dfc7a748-4ce4-4160-a7a3-7ab64b69a270/cover.jpg?v=2"/>
  <description>&lt;p&gt;The boys design algorithms to generate puzzles on graphs, spiral out into some polar coordinate calculus and gallop their way through some juggling notation.&lt;/p&gt;

&lt;h3&gt;Odds and Evenings&lt;/h3&gt;

&lt;p&gt;Twitter - &lt;a href="https://twitter.com/OddsAndEvenings" rel="nofollow noopener"&gt;https://twitter.com/OddsAndEvenings&lt;/a&gt;&lt;br&gt;
Website - &lt;a href="http://www.oddsandevenings.com" rel="nofollow noopener"&gt;http://www.oddsandevenings.com&lt;/a&gt;&lt;/p&gt;

&lt;h3&gt;Topics discussed&lt;/h3&gt;

&lt;ul&gt;
&lt;li&gt;Untangling Planar Graphs&lt;/li&gt;
&lt;li&gt;The Length of Spirals&lt;/li&gt;
&lt;li&gt;Juggling and Horse Gaits&lt;/li&gt;
&lt;/ul&gt;

&lt;h3&gt;Show Notes&lt;/h3&gt;

&lt;p&gt;&lt;a href="http://www.gameclassification.com/files/games/Untangle.png" rel="nofollow noopener"&gt;A Picture of Untangle&lt;/a&gt;&lt;br&gt;
&lt;a href="https://en.wikipedia.org/wiki/Kuratowski%27s_theorem" rel="nofollow noopener"&gt;The Criteria for Planarity&lt;/a&gt;&lt;br&gt;
&lt;a href="https://www.desmos.com/calculator/xqqafvcbf9" rel="nofollow noopener"&gt;The Two Spirals in Desmos (a graphing calculator)&lt;/a&gt;&lt;br&gt;
&lt;a href="http://sites.millersville.edu/bikenaga/calculus/arc-length-in-polar/arc-length-in-polar.html" rel="nofollow noopener"&gt;Arc Length in Polar Form Derivation&lt;/a&gt;&lt;br&gt;
&lt;a href="https://www.flickr.com/photos/deaddogbarking/4545328000" rel="nofollow noopener"&gt;Jakob Bernoulli's Gravestone&lt;/a&gt;&lt;br&gt;
&lt;a href="https://en.wikipedia.org/wiki/Horse_gait" rel="nofollow noopener"&gt;Horse Gaits on Wikipedia&lt;/a&gt;&lt;br&gt;
&lt;a href="http://juggle.wikia.com/wiki/Impossible_Siteswap_Animator" rel="nofollow noopener"&gt;Negative Juggling Simulator&lt;/a&gt;&lt;/p&gt;

&lt;h3&gt;Credits&lt;/h3&gt;

&lt;p&gt;Hosted By &lt;br&gt;
Alaric - &lt;a href="http://alaricstephen.com" rel="nofollow noopener"&gt;http://alaricstephen.com&lt;/a&gt;&lt;br&gt;
Alex - &lt;a href="http://twitter.com/speakmouthwords" rel="nofollow noopener"&gt;http://twitter.com/speakmouthwords&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Editing by Alex&lt;br&gt;
Rather fitting spiral anecdote by Alaric&lt;/p&gt;

&lt;p&gt;Theme music by David Russell - &lt;a href="https://youtube.com/DavidRussell323" rel="nofollow noopener"&gt;https://youtube.com/DavidRussell323&lt;/a&gt; &lt;/p&gt;
</description>
  <itunes:keywords>Math, Maths, Podcast, Graph Theory, Juggling, Geometry, Calculus, Algorithms, Mathematics</itunes:keywords>
  <content:encoded>
    <![CDATA[<p>The boys design algorithms to generate puzzles on graphs, spiral out into some polar coordinate calculus and gallop their way through some juggling notation.</p>

<h3>Odds and Evenings</h3>

<p>Twitter - <a href="https://twitter.com/OddsAndEvenings" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br>
Website - <a href="http://www.oddsandevenings.com" rel="nofollow noopener">http://www.oddsandevenings.com</a></p>

<h3>Topics discussed</h3>

<ul>
<li>Untangling Planar Graphs</li>
<li>The Length of Spirals</li>
<li>Juggling and Horse Gaits</li>
</ul>

<h3>Show Notes</h3>

<p><a href="http://www.gameclassification.com/files/games/Untangle.png" rel="nofollow noopener">A Picture of Untangle</a><br>
<a href="https://en.wikipedia.org/wiki/Kuratowski%27s_theorem" rel="nofollow noopener">The Criteria for Planarity</a><br>
<a href="https://www.desmos.com/calculator/xqqafvcbf9" rel="nofollow noopener">The Two Spirals in Desmos (a graphing calculator)</a><br>
<a href="http://sites.millersville.edu/bikenaga/calculus/arc-length-in-polar/arc-length-in-polar.html" rel="nofollow noopener">Arc Length in Polar Form Derivation</a><br>
<a href="https://www.flickr.com/photos/deaddogbarking/4545328000" rel="nofollow noopener">Jakob Bernoulli's Gravestone</a><br>
<a href="https://en.wikipedia.org/wiki/Horse_gait" rel="nofollow noopener">Horse Gaits on Wikipedia</a><br>
<a href="http://juggle.wikia.com/wiki/Impossible_Siteswap_Animator" rel="nofollow noopener">Negative Juggling Simulator</a></p>

<h3>Credits</h3>

<p>Hosted By <br>
Alaric - <a href="http://alaricstephen.com" rel="nofollow noopener">http://alaricstephen.com</a><br>
Alex - <a href="http://twitter.com/speakmouthwords" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p>

<p>Editing by Alex<br>
Rather fitting spiral anecdote by Alaric</p>

<p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" rel="nofollow noopener">https://youtube.com/DavidRussell323</a></p>]]>
  </content:encoded>
  <itunes:summary>
    <![CDATA[<p>The boys design algorithms to generate puzzles on graphs, spiral out into some polar coordinate calculus and gallop their way through some juggling notation.</p>

<h3>Odds and Evenings</h3>

<p>Twitter - <a href="https://twitter.com/OddsAndEvenings" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br>
Website - <a href="http://www.oddsandevenings.com" rel="nofollow noopener">http://www.oddsandevenings.com</a></p>

<h3>Topics discussed</h3>

<ul>
<li>Untangling Planar Graphs</li>
<li>The Length of Spirals</li>
<li>Juggling and Horse Gaits</li>
</ul>

<h3>Show Notes</h3>

<p><a href="http://www.gameclassification.com/files/games/Untangle.png" rel="nofollow noopener">A Picture of Untangle</a><br>
<a href="https://en.wikipedia.org/wiki/Kuratowski%27s_theorem" rel="nofollow noopener">The Criteria for Planarity</a><br>
<a href="https://www.desmos.com/calculator/xqqafvcbf9" rel="nofollow noopener">The Two Spirals in Desmos (a graphing calculator)</a><br>
<a href="http://sites.millersville.edu/bikenaga/calculus/arc-length-in-polar/arc-length-in-polar.html" rel="nofollow noopener">Arc Length in Polar Form Derivation</a><br>
<a href="https://www.flickr.com/photos/deaddogbarking/4545328000" rel="nofollow noopener">Jakob Bernoulli's Gravestone</a><br>
<a href="https://en.wikipedia.org/wiki/Horse_gait" rel="nofollow noopener">Horse Gaits on Wikipedia</a><br>
<a href="http://juggle.wikia.com/wiki/Impossible_Siteswap_Animator" rel="nofollow noopener">Negative Juggling Simulator</a></p>

<h3>Credits</h3>

<p>Hosted By <br>
Alaric - <a href="http://alaricstephen.com" rel="nofollow noopener">http://alaricstephen.com</a><br>
Alex - <a href="http://twitter.com/speakmouthwords" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p>

<p>Editing by Alex<br>
Rather fitting spiral anecdote by Alaric</p>

<p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" rel="nofollow noopener">https://youtube.com/DavidRussell323</a></p>]]>
  </itunes:summary>
</item>
<item>
  <title>#16 - Algorithms, Adding and Adders </title>
  <link>https://www.oddsandevenings.com/16</link>
  <guid isPermaLink="false">93977cde-0683-4062-987e-c1db3675a40c</guid>
  <pubDate>Mon, 09 Jul 2018 02:00:00 +0100</pubDate>
  <author>Odds and Evenings</author>
  <enclosure url="https://aphid.fireside.fm/d/1437767933/b3fcc274-493e-4d2e-87a4-3d1ae3127c05/93977cde-0683-4062-987e-c1db3675a40c.mp3" length="50355604" type="audio/mp3"/>
  <itunes:episodeType>full</itunes:episodeType>
  <itunes:author>Odds and Evenings</itunes:author>
  <itunes:subtitle>Topics Discussed:

- FRACTRAN
- Negative Bases
- Polycube Snakes</itunes:subtitle>
  <itunes:duration>51:47</itunes:duration>
  <itunes:explicit>no</itunes:explicit>
  <itunes:image href="https://media24.fireside.fm/file/fireside-images-2024/podcasts/images/b/b3fcc274-493e-4d2e-87a4-3d1ae3127c05/cover.jpg?v=1"/>
  <description>&lt;p&gt;The boys both have problems which involve complicating the process of adding. Also snakes.&lt;/p&gt;

&lt;h3&gt;Odds and Evenings&lt;/h3&gt;

&lt;p&gt;Twitter - &lt;a href="https://twitter.com/OddsAndEvenings" rel="nofollow noopener"&gt;https://twitter.com/OddsAndEvenings&lt;/a&gt;&lt;br&gt;
Website - &lt;a href="http://www.oddsandevenings.com" rel="nofollow noopener"&gt;http://www.oddsandevenings.com&lt;/a&gt;&lt;/p&gt;

&lt;h3&gt;Topics discussed&lt;/h3&gt;

&lt;ul&gt;
&lt;li&gt;FRACTRAN&lt;/li&gt;
&lt;li&gt;Negative Bases&lt;/li&gt;
&lt;li&gt;Polycube Snakes&lt;/li&gt;
&lt;/ul&gt;

&lt;h3&gt;Show Notes&lt;/h3&gt;

&lt;p&gt;&lt;a href="https://en.wikipedia.org/wiki/FRACTRAN" rel="nofollow noopener"&gt;FRACTRAN&lt;/a&gt;&lt;br&gt;
&lt;a href="https://en.wikipedia.org/wiki/Negative_base#Addition" rel="nofollow noopener"&gt;Adding in Negative Bases&lt;/a&gt;&lt;br&gt;
&lt;a href="https://en.wikipedia.org/wiki/Quater-imaginary_base" rel="nofollow noopener"&gt;Quarter-Imaginary Base&lt;/a&gt;&lt;br&gt;
&lt;a href="https://www.toothycat.net/%7Ehologram/Turing/HowItWorks.html" rel="nofollow noopener"&gt;Fascinating Turing Complete Magic the Gathering&lt;/a&gt;&lt;br&gt;
&lt;a href="http://www.alaricstephen.com/main-featured/2017/5/20/polycube-snakes" rel="nofollow noopener"&gt;Article on Polycube Snakes&lt;/a&gt;&lt;/p&gt;

&lt;h3&gt;Credits&lt;/h3&gt;

&lt;p&gt;Hosted By &lt;br&gt;
Alaric - &lt;a href="http://alaricstephen.com" rel="nofollow noopener"&gt;http://alaricstephen.com&lt;/a&gt;&lt;br&gt;
Alex - &lt;a href="http://twitter.com/speakmouthwords" rel="nofollow noopener"&gt;http://twitter.com/speakmouthwords&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Editing by Alex&lt;br&gt;
Knuth Pronunciation by Alaric&lt;/p&gt;

&lt;p&gt;Theme music by David Russell - &lt;a href="https://youtube.com/DavidRussell323" rel="nofollow noopener"&gt;https://youtube.com/DavidRussell323&lt;/a&gt; &lt;/p&gt;
</description>
  <itunes:keywords>Math, Maths, Podcast, Computing, Algorithms, Number Theory</itunes:keywords>
  <content:encoded>
    <![CDATA[<p>The boys both have problems which involve complicating the process of adding. Also snakes.</p>

<h3>Odds and Evenings</h3>

<p>Twitter - <a href="https://twitter.com/OddsAndEvenings" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br>
Website - <a href="http://www.oddsandevenings.com" rel="nofollow noopener">http://www.oddsandevenings.com</a></p>

<h3>Topics discussed</h3>

<ul>
<li>FRACTRAN</li>
<li>Negative Bases</li>
<li>Polycube Snakes</li>
</ul>

<h3>Show Notes</h3>

<p><a href="https://en.wikipedia.org/wiki/FRACTRAN" rel="nofollow noopener">FRACTRAN</a><br>
<a href="https://en.wikipedia.org/wiki/Negative_base#Addition" rel="nofollow noopener">Adding in Negative Bases</a><br>
<a href="https://en.wikipedia.org/wiki/Quater-imaginary_base" rel="nofollow noopener">Quarter-Imaginary Base</a><br>
<a href="https://www.toothycat.net/%7Ehologram/Turing/HowItWorks.html" rel="nofollow noopener">Fascinating Turing Complete Magic the Gathering</a><br>
<a href="http://www.alaricstephen.com/main-featured/2017/5/20/polycube-snakes" rel="nofollow noopener">Article on Polycube Snakes</a></p>

<h3>Credits</h3>

<p>Hosted By <br>
Alaric - <a href="http://alaricstephen.com" rel="nofollow noopener">http://alaricstephen.com</a><br>
Alex - <a href="http://twitter.com/speakmouthwords" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p>

<p>Editing by Alex<br>
Knuth Pronunciation by Alaric</p>

<p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" rel="nofollow noopener">https://youtube.com/DavidRussell323</a></p>]]>
  </content:encoded>
  <itunes:summary>
    <![CDATA[<p>The boys both have problems which involve complicating the process of adding. Also snakes.</p>

<h3>Odds and Evenings</h3>

<p>Twitter - <a href="https://twitter.com/OddsAndEvenings" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br>
Website - <a href="http://www.oddsandevenings.com" rel="nofollow noopener">http://www.oddsandevenings.com</a></p>

<h3>Topics discussed</h3>

<ul>
<li>FRACTRAN</li>
<li>Negative Bases</li>
<li>Polycube Snakes</li>
</ul>

<h3>Show Notes</h3>

<p><a href="https://en.wikipedia.org/wiki/FRACTRAN" rel="nofollow noopener">FRACTRAN</a><br>
<a href="https://en.wikipedia.org/wiki/Negative_base#Addition" rel="nofollow noopener">Adding in Negative Bases</a><br>
<a href="https://en.wikipedia.org/wiki/Quater-imaginary_base" rel="nofollow noopener">Quarter-Imaginary Base</a><br>
<a href="https://www.toothycat.net/%7Ehologram/Turing/HowItWorks.html" rel="nofollow noopener">Fascinating Turing Complete Magic the Gathering</a><br>
<a href="http://www.alaricstephen.com/main-featured/2017/5/20/polycube-snakes" rel="nofollow noopener">Article on Polycube Snakes</a></p>

<h3>Credits</h3>

<p>Hosted By <br>
Alaric - <a href="http://alaricstephen.com" rel="nofollow noopener">http://alaricstephen.com</a><br>
Alex - <a href="http://twitter.com/speakmouthwords" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p>

<p>Editing by Alex<br>
Knuth Pronunciation by Alaric</p>

<p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" rel="nofollow noopener">https://youtube.com/DavidRussell323</a></p>]]>
  </itunes:summary>
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