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	<title>Comments on: Penrose&#8217;s Patent and the Battle of the Tissue Tiles (Contains Mathematics)</title>
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	<link>http://quixoticquisling.com/2009/01/penroses-patent-and-the-battle-of-the-tissue-tiles-contains-mathematics/</link>
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		<title>By: Daniel Wyllie</title>
		<link>http://quixoticquisling.com/2009/01/penroses-patent-and-the-battle-of-the-tissue-tiles-contains-mathematics/comment-page-1/#comment-8086</link>
		<dc:creator>Daniel Wyllie</dc:creator>
		<pubDate>Wed, 25 Nov 2009 17:51:30 +0000</pubDate>
		<guid isPermaLink="false">http://www.quixoticquisling.com/?p=277#comment-8086</guid>
		<description>Hi Carl.
Now take a look at this boardgame
called Cir*kis.
Curiously, the designer doesn&#039;t
say a single word about Penrose.
How smart (or not)...

http://www.winning-moves.com/974AC834972648769F406DE95E835622.asp?ccb_key=FE7D7E17EC58488B82A501337290458B</description>
		<content:encoded><![CDATA[<p>Hi Carl.<br />
Now take a look at this boardgame<br />
called Cir*kis.<br />
Curiously, the designer doesn&#8217;t<br />
say a single word about Penrose.<br />
How smart (or not)&#8230;</p>
<p><a href="http://www.winning-moves.com/974AC834972648769F406DE95E835622.asp?ccb_key=FE7D7E17EC58488B82A501337290458B">http://www.winning-moves.com/974AC834972648769F406DE95E835622.asp?ccb_key=FE7D7E17EC58488B82A501337290458B</a></p>
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		<title>By: Carl Morris</title>
		<link>http://quixoticquisling.com/2009/01/penroses-patent-and-the-battle-of-the-tissue-tiles-contains-mathematics/comment-page-1/#comment-158</link>
		<dc:creator>Carl Morris</dc:creator>
		<pubDate>Tue, 13 Jan 2009 14:42:42 +0000</pubDate>
		<guid isPermaLink="false">http://www.quixoticquisling.com/?p=277#comment-158</guid>
		<description>Thanks all.

Sam, Emperor’s New Mind has been on my to-read list for years. It’s kind of daunting. I guess you have to start on the first page and work from there!

Ian, I knew about the existence of the Islamic art but after a quick search I was surprised by the similarities. It&#039;s frustrating that they didn&#039;t write down their understanding of the maths to go along with the designs! Or at least, we no longer have it. All the same, I&#039;m pretty sure Penrose made a unique breakthrough by using only two tiles. I guess the US Patent Office saw fit to award the patent to the Penrose tilings without considering the earlier work to be a &lt;i&gt;prior art&lt;/i&gt; - which the court later upheld. But I haven&#039;t delved into their process to see if they even considered the work of the Islamic guys. I wonder if there are any other treasures out there ripe for rediscovery. Haven’t read that book, sounds interesting..

Rhys, diolch ond cadwch ar y pwnc! Dw i’n amateb trwy ebost yn union.</description>
		<content:encoded><![CDATA[<p>Thanks all.</p>
<p>Sam, Emperor’s New Mind has been on my to-read list for years. It’s kind of daunting. I guess you have to start on the first page and work from there!</p>
<p>Ian, I knew about the existence of the Islamic art but after a quick search I was surprised by the similarities. It&#8217;s frustrating that they didn&#8217;t write down their understanding of the maths to go along with the designs! Or at least, we no longer have it. All the same, I&#8217;m pretty sure Penrose made a unique breakthrough by using only two tiles. I guess the US Patent Office saw fit to award the patent to the Penrose tilings without considering the earlier work to be a <i>prior art</i> &#8211; which the court later upheld. But I haven&#8217;t delved into their process to see if they even considered the work of the Islamic guys. I wonder if there are any other treasures out there ripe for rediscovery. Haven’t read that book, sounds interesting..</p>
<p>Rhys, diolch ond cadwch ar y pwnc! Dw i’n amateb trwy ebost yn union.</p>
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		<title>By: Rhys</title>
		<link>http://quixoticquisling.com/2009/01/penroses-patent-and-the-battle-of-the-tissue-tiles-contains-mathematics/comment-page-1/#comment-156</link>
		<dc:creator>Rhys</dc:creator>
		<pubDate>Sun, 11 Jan 2009 16:45:02 +0000</pubDate>
		<guid isPermaLink="false">http://www.quixoticquisling.com/?p=277#comment-156</guid>
		<description>S&#039;mai Carl,

Dim i&#039;w wneud a geometreg, &#039;mond eisiau diolch am ddanfon y ddolen ataf am Trydan drwy delicious (dyna beth oedd &#039;rhwydweithio cymdeithasol &lt;i&gt;in action&lt;/i&gt;!). Yn anffodus galla i ddim mynychu&#039;r cyfarfod cyntaf yn Juno Lounge - mae gan rhai ohonom ni waith 9-5 diflas :-(

Darllenais dy sylw are Metastwnsh ble soniais am dy fwriad i greu fideos o phodlediadau Cymraeg.

&quot;Bydda i postio fideos gyda syniadau DIY, lefel mynediad am y person ifanc/dechrauwr.&quot;

Mae&#039;n swnio&#039;n ddiddorol - sut fath o DIY oedd gyda ti mewn golwg, gosod silff yn y tŷ bach, neu rhyweth ychydig mwy geeky fel sut i ddechrau blog/golygu erthygl ar Wicipedia? Dw i ddim yn berson &#039;techy&#039; ofnadyw (nac yn pync nac yn secsi!) ond os wyt ti eisiau help, gyda rhywbeth fel sgriptio er enghraifft, rho floedd, byddwn i wrth fy modd yn helpu.

Gwelais &lt;a href=&quot;http://eibar.org/blogak/luistxo/en/archive/2008/11/06/im-a-better-improved-pc&quot; rel=&quot;nofollow&quot;&gt;fideo reit da o Wlad y Basg&lt;/a&gt;, ble mae disgyblion ysgol cynradd Basgeg yn gwneud parodi o&#039;r hysbyseb &#039;I&#039;m a PC&#039; - ond eu bod nhw&#039;n dangos yr holl feddalwedd rhydd (sydd ar gael yn y Fasgeg fel yn y Gymraeg) y maen nhw&#039;n eu defnyddio.</description>
		<content:encoded><![CDATA[<p>S&#8217;mai Carl,</p>
<p>Dim i&#8217;w wneud a geometreg, &#8216;mond eisiau diolch am ddanfon y ddolen ataf am Trydan drwy delicious (dyna beth oedd &#8216;rhwydweithio cymdeithasol <i>in action</i>!). Yn anffodus galla i ddim mynychu&#8217;r cyfarfod cyntaf yn Juno Lounge &#8211; mae gan rhai ohonom ni waith 9-5 diflas :-(</p>
<p>Darllenais dy sylw are Metastwnsh ble soniais am dy fwriad i greu fideos o phodlediadau Cymraeg.</p>
<p>&#8220;Bydda i postio fideos gyda syniadau DIY, lefel mynediad am y person ifanc/dechrauwr.&#8221;</p>
<p>Mae&#8217;n swnio&#8217;n ddiddorol &#8211; sut fath o DIY oedd gyda ti mewn golwg, gosod silff yn y tŷ bach, neu rhyweth ychydig mwy geeky fel sut i ddechrau blog/golygu erthygl ar Wicipedia? Dw i ddim yn berson &#8216;techy&#8217; ofnadyw (nac yn pync nac yn secsi!) ond os wyt ti eisiau help, gyda rhywbeth fel sgriptio er enghraifft, rho floedd, byddwn i wrth fy modd yn helpu.</p>
<p>Gwelais <a href="http://eibar.org/blogak/luistxo/en/archive/2008/11/06/im-a-better-improved-pc">fideo reit da o Wlad y Basg</a>, ble mae disgyblion ysgol cynradd Basgeg yn gwneud parodi o&#8217;r hysbyseb &#8216;I&#8217;m a PC&#8217; &#8211; ond eu bod nhw&#8217;n dangos yr holl feddalwedd rhydd (sydd ar gael yn y Fasgeg fel yn y Gymraeg) y maen nhw&#8217;n eu defnyddio.</p>
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		<title>By: Ian Green</title>
		<link>http://quixoticquisling.com/2009/01/penroses-patent-and-the-battle-of-the-tissue-tiles-contains-mathematics/comment-page-1/#comment-155</link>
		<dc:creator>Ian Green</dc:creator>
		<pubDate>Sat, 10 Jan 2009 22:38:24 +0000</pubDate>
		<guid isPermaLink="false">http://www.quixoticquisling.com/?p=277#comment-155</guid>
		<description>Hi Carl,

Interesting stuff.
But I think you&#039;ll find, if you dig a little deeper, is that a lot of this geometry is derived from Islamic art and mathematics.
I&#039;m not sure why I know this but I think it was in a novel by Russel Hoban - Pilgermann I think?

Ta
Ian</description>
		<content:encoded><![CDATA[<p>Hi Carl,</p>
<p>Interesting stuff.<br />
But I think you&#8217;ll find, if you dig a little deeper, is that a lot of this geometry is derived from Islamic art and mathematics.<br />
I&#8217;m not sure why I know this but I think it was in a novel by Russel Hoban &#8211; Pilgermann I think?</p>
<p>Ta<br />
Ian</p>
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		<title>By: Sam</title>
		<link>http://quixoticquisling.com/2009/01/penroses-patent-and-the-battle-of-the-tissue-tiles-contains-mathematics/comment-page-1/#comment-154</link>
		<dc:creator>Sam</dc:creator>
		<pubDate>Sat, 10 Jan 2009 21:39:39 +0000</pubDate>
		<guid isPermaLink="false">http://www.quixoticquisling.com/?p=277#comment-154</guid>
		<description>Roger Penrose is a true genius! It&#039;s a charming story when a mathematician invents something like a breakthrough geometrical pattern. Mathematicians across the world must have bubbled with excitement at the time. The rest of the world would probably have been asking why?  We have a Penrose book at home called the Emperor&#039;s New Mind. It&#039;s a chunky beauty all about artificial intelligence, computers and the physics. That work was breakthrough stuff too! I wish so much to read it, but it will mean devoting a lot of brain power time!</description>
		<content:encoded><![CDATA[<p>Roger Penrose is a true genius! It&#8217;s a charming story when a mathematician invents something like a breakthrough geometrical pattern. Mathematicians across the world must have bubbled with excitement at the time. The rest of the world would probably have been asking why?  We have a Penrose book at home called the Emperor&#8217;s New Mind. It&#8217;s a chunky beauty all about artificial intelligence, computers and the physics. That work was breakthrough stuff too! I wish so much to read it, but it will mean devoting a lot of brain power time!</p>
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