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	<title>General Musings</title>
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	<description>General musing about mathematics, computing and other topics</description>
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		<title>General Musings</title>
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		<item>
		<title>Carnival of Mathematics #75</title>
		<link>http://danielcolquitt.wordpress.com/2011/03/04/carnival-of-mathematics-75/</link>
		<comments>http://danielcolquitt.wordpress.com/2011/03/04/carnival-of-mathematics-75/#comments</comments>
		<pubDate>Fri, 04 Mar 2011 16:07:12 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Mathematics]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=1515</guid>
		<description><![CDATA[Welcome to the 75th Carnival of Mathematics! Slightly out of tradition both, last month&#8217;s Carnival, and the preceding Carnival were hosted at Walking Randomly due to a lack of willing hosts. If you&#8217;re willing to host a future edition, please get in touch with Mike here. According to precedent, I should begin the Carnival with a [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=1515&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>6</slash:comments>
	
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			<media:title type="html">Pentagonal Pyramid</media:title>
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	</item>
		<item>
		<title>Here comes the Carnival (again)</title>
		<link>http://danielcolquitt.wordpress.com/2011/02/17/here-comes-the-carnival-again/</link>
		<comments>http://danielcolquitt.wordpress.com/2011/02/17/here-comes-the-carnival-again/#comments</comments>
		<pubDate>Thu, 17 Feb 2011 10:09:59 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=1513</guid>
		<description><![CDATA[Last week saw the publication of the 74th edition of the Carnival of Mathematics over at Walking Randomly. As Mike mentions in his post, it is unusual for the carnival to be hosted  at the same blog twice in a row. However, due to a lack of volunteers, this was unavoidable. At the time of going [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=1513&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://danielcolquitt.wordpress.com/2011/02/17/here-comes-the-carnival-again/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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		<title>Carnival of Mathematics #70</title>
		<link>http://danielcolquitt.wordpress.com/2010/10/01/carnival-of-mathematics-70/</link>
		<comments>http://danielcolquitt.wordpress.com/2010/10/01/carnival-of-mathematics-70/#comments</comments>
		<pubDate>Fri, 01 Oct 2010 08:47:14 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[70]]></category>
		<category><![CDATA[Carnival]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=1487</guid>
		<description><![CDATA[Welcome to the 70th Carnival of Mathematics!  Last month&#8217;s excellent 69th edition of the Carnival was held over at jd2781. Tradition dictates that the host should open with a few words about the particular carnival number, at least some of which should be interesting. Following from JD2781&#8242;s assertion that 69! is the largest factorial that [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=1487&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://danielcolquitt.wordpress.com/2010/10/01/carnival-of-mathematics-70/feed/</wfw:commentRss>
		<slash:comments>8</slash:comments>
	
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		<title>Roll up, roll up! The carnival is coming!</title>
		<link>http://danielcolquitt.wordpress.com/2010/09/10/roll-up-roll-up-the-carnival-is-coming/</link>
		<comments>http://danielcolquitt.wordpress.com/2010/09/10/roll-up-roll-up-the-carnival-is-coming/#comments</comments>
		<pubDate>Fri, 10 Sep 2010 12:25:46 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Mathematics]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=1479</guid>
		<description><![CDATA[Last week JD2718 hosted the excellent Carnival of Mathematics #69 and next month, it will be my turn.  If you&#8217;re new to the world of Mathematics Carnivals, check out Mike Croucher&#8217;s excellent introduction over at Walking Randomly.  Essentially, the carnival is a collection of blog posts about mathematics.  The articles can be pitched at any [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=1479&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://danielcolquitt.wordpress.com/2010/09/10/roll-up-roll-up-the-carnival-is-coming/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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		<title>Nothing inside infinity</title>
		<link>http://danielcolquitt.wordpress.com/2010/06/17/nothing-inside-infinity/</link>
		<comments>http://danielcolquitt.wordpress.com/2010/06/17/nothing-inside-infinity/#comments</comments>
		<pubDate>Thu, 17 Jun 2010 10:58:11 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[fractal]]></category>
		<category><![CDATA[infinity]]></category>
		<category><![CDATA[Sierpiński]]></category>
		<category><![CDATA[triangle]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=1188</guid>
		<description><![CDATA[I'm sure that your familiar with the standard "Farmer's Problem": Given a certain length X of fence, what is the largest area that the farmer can enclose using exactly X meters of fencing?  However, I want to turn this puzzle on its head somewhat: Given an infinite length of fence, what is the smallest area that the farmer can enclose, whilst using all the fencing?<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=1188&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://danielcolquitt.wordpress.com/2010/06/17/nothing-inside-infinity/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
	
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			<media:title type="html">An infinite fence</media:title>
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			<media:title type="html">sierp01</media:title>
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			<media:title type="html">sierp02</media:title>
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			<media:title type="html">sierp03</media:title>
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		<item>
		<title>Trig identities &#8211; how many do you know?</title>
		<link>http://danielcolquitt.wordpress.com/2010/06/14/trig-identities-how-many-do-you-know/</link>
		<comments>http://danielcolquitt.wordpress.com/2010/06/14/trig-identities-how-many-do-you-know/#comments</comments>
		<pubDate>Mon, 14 Jun 2010 14:59:54 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Euler]]></category>
		<category><![CDATA[Exams]]></category>
		<category><![CDATA[Identity]]></category>
		<category><![CDATA[Trig]]></category>
		<category><![CDATA[Trigonometry]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=1170</guid>
		<description><![CDATA[Some time ago, I was asked &#8220;what are the main trig identities I need to know?&#8221;. The question was asked by a first year undergrad maths student who I was helping out with their homework. I was unsure as to how to answer the question for two reasons. Firstly, I had no idea which identities [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=1170&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://danielcolquitt.wordpress.com/2010/06/14/trig-identities-how-many-do-you-know/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Trig Circle</media:title>
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		<item>
		<title>The pseudosphere</title>
		<link>http://danielcolquitt.wordpress.com/2009/12/19/the-pseudosphere/</link>
		<comments>http://danielcolquitt.wordpress.com/2009/12/19/the-pseudosphere/#comments</comments>
		<pubDate>Sat, 19 Dec 2009 10:50:51 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[pseudosphere]]></category>
		<category><![CDATA[sine-gordon]]></category>
		<category><![CDATA[surface area]]></category>
		<category><![CDATA[tractrix]]></category>
		<category><![CDATA[volume]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=628</guid>
		<description><![CDATA[In two recent posts, Torricelli&#8217;s trumpet and How big is a snowflake?, we met two interesting objects with what seemed like paradoxical properties.  In both cases, the objects enclosed a finite volume, yet the boundary of each object was infinite.  Perhaps more interestingly, the Pseudosphere is an object that is infinite in extent, yet has [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=628&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://danielcolquitt.wordpress.com/2009/12/19/the-pseudosphere/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
	
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			<media:title type="html">Tractrix</media:title>
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			<media:title type="html">The pseudosphere</media:title>
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			<media:title type="html">Breather Pseudospherical surface</media:title>
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		<item>
		<title>How big is a snowflake?</title>
		<link>http://danielcolquitt.wordpress.com/2009/11/20/how-big-is-a-snowflake/</link>
		<comments>http://danielcolquitt.wordpress.com/2009/11/20/how-big-is-a-snowflake/#comments</comments>
		<pubDate>Fri, 20 Nov 2009 18:16:04 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[fractal]]></category>
		<category><![CDATA[infinity]]></category>
		<category><![CDATA[koch]]></category>
		<category><![CDATA[snowflake]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=556</guid>
		<description><![CDATA[In my previous post, Torricelli’s trumpet, we saw an object that was infinite in extent (i.e. was infinitely long), had an infinite surface area and yet, enclosed a finite volume.  As strange and counter intuitive as this may seem, there are many similar objects some of which are purely theoretical constructs, others arise when studying [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=556&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://danielcolquitt.wordpress.com/2009/11/20/how-big-is-a-snowflake/feed/</wfw:commentRss>
		<slash:comments>2</slash:comments>
	
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			<media:title type="html">Koch Snowflake</media:title>
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		<media:content url="http://upload.wikimedia.org/wikipedia/commons/8/8e/KochFlake.png" medium="image">
			<media:title type="html">Constructing a Koch Snowflake</media:title>
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			<media:title type="html">The Mandlebrot Set</media:title>
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		<title>Torricelli&#8217;s trumpet</title>
		<link>http://danielcolquitt.wordpress.com/2009/11/16/torricellis-trumpet/</link>
		<comments>http://danielcolquitt.wordpress.com/2009/11/16/torricellis-trumpet/#comments</comments>
		<pubDate>Mon, 16 Nov 2009 18:35:22 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[infinite]]></category>
		<category><![CDATA[revolution]]></category>
		<category><![CDATA[surface]]></category>
		<category><![CDATA[Torricelli]]></category>
		<category><![CDATA[trumpet]]></category>
		<category><![CDATA[volume]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=499</guid>
		<description><![CDATA[How much paint is required to paint the exterior if an infinite trumpet? Once we&#8217;ve banished the image of Louis Armstrong struggling to play a huge trumpet we would say that the obvious answer is &#8220;an infinite amount of paint&#8221;.  Of course this is correct.  Now what about the next question: How much paint is [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=499&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>6</slash:comments>
	
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			<media:title type="html">Torricelli's Trumpet</media:title>
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		<item>
		<title>The long walk on a balloon</title>
		<link>http://danielcolquitt.wordpress.com/2009/10/15/the-long-walk-on-a-balloon/</link>
		<comments>http://danielcolquitt.wordpress.com/2009/10/15/the-long-walk-on-a-balloon/#comments</comments>
		<pubDate>Thu, 15 Oct 2009 17:02:24 +0000</pubDate>
		<dc:creator>Daniel Colquitt</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Puzzles]]></category>
		<category><![CDATA[ant]]></category>
		<category><![CDATA[balloon]]></category>
		<category><![CDATA[expansion]]></category>
		<category><![CDATA[metric]]></category>
		<category><![CDATA[space]]></category>

		<guid isPermaLink="false">http://danielcolquitt.wordpress.com/?p=256</guid>
		<description><![CDATA[In an earlier post we discussed the so-called long walk problem, where an ant moves along an expanding one-dimensional elastic string. This problem has an obvious parallel with the metric expansion of space. The analogy of an ant (or similar small insect) walking across the surface of an inflating balloon is often used to illustrate [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=danielcolquitt.wordpress.com&amp;blog=9834124&amp;post=256&amp;subd=danielcolquitt&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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