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	<title>math &#8211; Jonathan Frei</title>
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	<title>math &#8211; Jonathan Frei</title>
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		<link>https://jonathanfrei.com/2012/10/the-knight-can-visit-each-square-on-a-chess-board</link>
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		<dc:creator><![CDATA[Jonathan Frei]]></dc:creator>
		<pubDate>Fri, 05 Oct 2012 22:11:18 +0000</pubDate>
				<category><![CDATA[Blog]]></category>
		<category><![CDATA[chess]]></category>
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		<category><![CDATA[math]]></category>
		<guid isPermaLink="false">http://104.131.64.180/?p=579</guid>

					<description><![CDATA[The knight can visit each square on a chess board exactly once. &#8211; Imgur As long as it doesn&#8217;t start in its proper space.]]></description>
										<content:encoded><![CDATA[<p>
<a href='https://jonathanfrei.com/2012/10/the-knight-can-visit-each-square-on-a-chess-board/attachment/580'><img width="150" height="150" src="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbf8g8lYd91qa6fdmo1_500.gif?resize=150%2C150&amp;ssl=1" class="attachment-thumbnail size-thumbnail" alt="" decoding="async" loading="lazy" data-attachment-id="580" data-permalink="https://jonathanfrei.com/2012/10/the-knight-can-visit-each-square-on-a-chess-board/attachment/580" data-orig-file="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbf8g8lYd91qa6fdmo1_500.gif?fit=408%2C408&amp;ssl=1" data-orig-size="408,408" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="" data-image-description="" data-image-caption="" data-medium-file="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbf8g8lYd91qa6fdmo1_500.gif?fit=300%2C300&amp;ssl=1" data-large-file="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbf8g8lYd91qa6fdmo1_500.gif?fit=408%2C408&amp;ssl=1" /></a>
<br />
<a href="http://imgur.com/gallery/Gs7mH">The knight can visit each square on a chess board exactly once. &#8211; Imgur</a></p>
<p><em>As long as it doesn&#8217;t start in its proper space</em>.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">579</post-id>	</item>
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		<title>Distance to the horizon</title>
		<link>https://jonathanfrei.com/2012/10/distance-to-the-horizon-via-mlkshk</link>
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		<dc:creator><![CDATA[Jonathan Frei]]></dc:creator>
		<pubDate>Thu, 04 Oct 2012 13:29:03 +0000</pubDate>
				<category><![CDATA[Blog]]></category>
		<category><![CDATA[astronomy]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[science]]></category>
		<guid isPermaLink="false">http://104.131.64.180/?p=589</guid>

					<description><![CDATA[via &#8211; mlkshk]]></description>
										<content:encoded><![CDATA[
<a href='https://jonathanfrei.com/2012/10/distance-to-the-horizon-via-mlkshk/attachment/590'><img width="150" height="150" src="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbdesgZKQQ1qa6fdmo1_500.jpg?resize=150%2C150&amp;ssl=1" class="attachment-thumbnail size-thumbnail" alt="" decoding="async" loading="lazy" srcset="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbdesgZKQQ1qa6fdmo1_500.jpg?resize=150%2C150&amp;ssl=1 150w, https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbdesgZKQQ1qa6fdmo1_500.jpg?zoom=2&amp;resize=150%2C150&amp;ssl=1 300w, https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbdesgZKQQ1qa6fdmo1_500.jpg?zoom=3&amp;resize=150%2C150&amp;ssl=1 450w" sizes="(max-width: 150px) 100vw, 150px" data-attachment-id="590" data-permalink="https://jonathanfrei.com/2012/10/distance-to-the-horizon-via-mlkshk/attachment/590" data-orig-file="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbdesgZKQQ1qa6fdmo1_500.jpg?fit=500%2C483&amp;ssl=1" data-orig-size="500,483" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="" data-image-description="" data-image-caption="" data-medium-file="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbdesgZKQQ1qa6fdmo1_500.jpg?fit=300%2C289&amp;ssl=1" data-large-file="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/10/tumblr_mbdesgZKQQ1qa6fdmo1_500.jpg?fit=500%2C483&amp;ssl=1" /></a>

<p>via &#8211; <a href="http://mlkshk.com">mlkshk</a></p>
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		<post-id xmlns="com-wordpress:feed-additions:1">589</post-id>	</item>
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		<title></title>
		<link>https://jonathanfrei.com/2012/07/superhero-math</link>
					<comments>https://jonathanfrei.com/2012/07/superhero-math#respond</comments>
		
		<dc:creator><![CDATA[Jonathan Frei]]></dc:creator>
		<pubDate>Tue, 17 Jul 2012 11:26:53 +0000</pubDate>
				<category><![CDATA[Blog]]></category>
		<category><![CDATA[comic books]]></category>
		<category><![CDATA[illustration]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[superheros]]></category>
		<guid isPermaLink="false">http://104.131.64.180/?p=1006</guid>

					<description><![CDATA[Superhero Math]]></description>
										<content:encoded><![CDATA[
<a href='https://jonathanfrei.com/2012/07/superhero-math/attachment/1007'><img width="150" height="150" src="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/07/tumblr_m6qnzkzlQw1qa6fdmo1_500.jpg?resize=150%2C150&amp;ssl=1" class="attachment-thumbnail size-thumbnail" alt="" decoding="async" loading="lazy" srcset="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/07/tumblr_m6qnzkzlQw1qa6fdmo1_500.jpg?resize=150%2C150&amp;ssl=1 150w, https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/07/tumblr_m6qnzkzlQw1qa6fdmo1_500.jpg?zoom=2&amp;resize=150%2C150&amp;ssl=1 300w" sizes="(max-width: 150px) 100vw, 150px" data-attachment-id="1007" data-permalink="https://jonathanfrei.com/2012/07/superhero-math/attachment/1007" data-orig-file="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/07/tumblr_m6qnzkzlQw1qa6fdmo1_500.jpg?fit=426%2C720&amp;ssl=1" data-orig-size="426,720" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="" data-image-description="" data-image-caption="" data-medium-file="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/07/tumblr_m6qnzkzlQw1qa6fdmo1_500.jpg?fit=177%2C300&amp;ssl=1" data-large-file="https://i0.wp.com/jonathanfrei.com/wp-content/uploads/2012/07/tumblr_m6qnzkzlQw1qa6fdmo1_500.jpg?fit=426%2C720&amp;ssl=1" /></a>

<h1>Superhero Math</h1>
]]></content:encoded>
					
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		<post-id xmlns="com-wordpress:feed-additions:1">1006</post-id>	</item>
		<item>
		<title>City Math</title>
		<link>https://jonathanfrei.com/2011/12/city-math</link>
					<comments>https://jonathanfrei.com/2011/12/city-math#respond</comments>
		
		<dc:creator><![CDATA[Jonathan Frei]]></dc:creator>
		<pubDate>Fri, 30 Dec 2011 11:30:00 +0000</pubDate>
				<category><![CDATA[Blog]]></category>
		<category><![CDATA[cities]]></category>
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		<guid isPermaLink="false">http://104.131.64.180/2011/12/city-math/</guid>

					<description><![CDATA[Author Jonah Lehrer reports on Geoffrey West&#8217;s attempt to understand how cities work. [C]ities are valuale because they facilitate human interactions, as people crammed into a few square miles exchange ideas and start collaborations. “If you ask people why they move to the city, they always give the same reasons,” West says. “They’ve come to [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Author Jonah Lehrer reports on <a href="http://www.nytimes.com/2010/12/19/magazine/19Urban_West-t.html">Geoffrey West&#8217;s attempt to understand how cities work</a>.</p>
<blockquote><p>
  [C]ities are valuale because they facilitate human interactions, as people crammed into a few square miles exchange ideas and start collaborations. “If you ask people why they move to the city, they always give the same reasons,” West says. “They’ve come to get a job or follow their friends or to be at the center of a scene. That’s why we pay the high rent. Cities are all about the people, not the infrastructure.”
</p></blockquote>
<p>West also examines the differences between the groupings of people who make up cities and the groupings of people who make up companies.</p>
<blockquote><p>
  For West, the impermanence of the corporation illuminates the real strength of the metropolis. Unlike companies, which are managed in a top-down fashion by a team of highly paid executives, cities are unruly places, largely immune to the desires of politicians and planners. “Think about how powerless a mayor is,” West says. “They can’t tell people where to live or what to do or who to talk to. Cities can’t be managed, and that’s what keeps them so vibrant. They’re just these insane masses of people, bumping into each other and maybe sharing an idea or two. It’s the freedom of the city that keeps it [&#8230;]
</p></blockquote>
<p>This story was published in the New York Times Magazine a while ago now, but it still answers some interesting questions about the draw and efficiencies of cities.</p>
<p><a href="http://www.nytimes.com/2010/12/19/magazine/19Urban_West-t.html">via</a></p>
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