Comments on: And speaking of “Apollonian”…. http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/ Thu, 09 Feb 2012 16:07:24 +0000 hourly 1 http://wordpress.org/?v=3.1.3 By: njcommuter http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63897 njcommuter Mon, 14 Apr 2008 06:15:34 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63897 Indeed and indeed. And electromagnetic theory is one of the foundation applications of complex analysis, hence Mr. Smith and his elegant chart. Indeed and indeed. And electromagnetic theory is one of the foundation applications of complex analysis, hence Mr. Smith and his elegant chart.

]]> By: Sergey http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63840 Sergey Sun, 13 Apr 2008 19:23:49 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63840 This is called conformal transformation - a mapping conserving angles. A notion from complex analysis. And Apollonius obviously understood it, just as analytical geometry, rediscovered by Rene Descartes two thousand years later. This is called conformal transformation – a mapping conserving angles. A notion from complex analysis. And Apollonius obviously understood it, just as analytical geometry, rediscovered by Rene Descartes two thousand years later.

]]> By: Ymarsakar http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63836 Ymarsakar Sun, 13 Apr 2008 18:55:53 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63836 My preview button is called metapad. It used to be notepad. My preview button is called metapad. It used to be notepad.

]]> By: neo-neocon http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63833 neo-neocon Sun, 13 Apr 2008 18:16:02 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63833 njcommuter: I used to have a preview button, but it caused a glitch that made it impossible to do links in the comments section at all. The only solution seemed to be to remove it. I would prefer to have a preview function, but I haven't figured out a way to do a plug-in for one without causing the aforementioned glitch. njcommuter: I used to have a preview button, but it caused a glitch that made it impossible to do links in the comments section at all. The only solution seemed to be to remove it. I would prefer to have a preview function, but I haven’t figured out a way to do a plug-in for one without causing the aforementioned glitch.

]]> By: njcommuter http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63827 njcommuter Sun, 13 Apr 2008 17:22:48 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63827 [I don't know if your blog package will allow a third try but here it is. You <i>really</i> need a preview button.] If it’s orthogonal circles you want, I rather prefer <a href="http://en.wikipedia.org/wiki/Image:Smith_chart_bmd.gif" rel="nofollow">this arrangement</a>, which is fascinating both geometrically and <a href="http://en.wikipedia.org/wiki/Smith_chart" rel="nofollow">in what it describes</a>. As my late math prof said (between taking a draw on his chalk and trying to write on the blackboard with his cigarette) “a linear fractional transform maps circles and lines into circles and lines [in the complex plane].” Radial lines and circles about the center point map into the two coordinate systems you see. [I don't know if your blog package will allow a third try but here it is. You really need a preview button.]

If it’s orthogonal circles you want, I rather prefer this arrangement, which is fascinating both geometrically and in what it describes. As my late math prof said (between taking a draw on his chalk and trying to write on the blackboard with his cigarette) “a linear fractional transform maps circles and lines into circles and lines [in the complex plane].” Radial lines and circles about the center point map into the two coordinate systems you see.

]]> By: Tatyana http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63823 Tatyana Sun, 13 Apr 2008 17:08:30 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63823 Neo, you're welcome to join me; the stroll was perfect (but now I don't want to return to work tomorrow). Neo, you’re welcome to join me; the stroll was perfect (but now I don’t want to return to work tomorrow).

]]> By: Tatyana http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63822 Tatyana Sun, 13 Apr 2008 17:07:09 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63822 Vanderleun, be careful what you wish for....are you sure you wan t a contact of a person who can perform kicks x6? Vanderleun, be careful what you wish for….are you sure you wan t a contact of a person who can perform kicks x6?

]]> By: Sergey http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63821 Sergey Sun, 13 Apr 2008 17:06:39 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63821 Apollonius of Perga came so close to mathematical ideas of modernity, that, if classical tradition could survive only two centuries more, explosive growth of science can begin a thousand years earlier. In fifth century Europe could have nukes, and we would be saved from Islam menace centuries ago. Apollonius of Perga came so close to mathematical ideas of modernity, that, if classical tradition could survive only two centuries more, explosive growth of science can begin a thousand years earlier. In fifth century Europe could have nukes, and we would be saved from Islam menace centuries ago.

]]> By: Fausta http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63820 Fausta Sun, 13 Apr 2008 17:05:58 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63820 Mmmm! Peter Martins in his prime! And now his son <a href="http://query.nytimes.com/gst/fullpage.html?res=9D0CE5D6123CF930A25755C0A967958260" rel="nofollow">Nilas</a> is dancing the part, too. Mmmm! Peter Martins in his prime!

And now his son Nilas is dancing the part, too.

]]> By: Ymarsakar http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63804 Ymarsakar Sun, 13 Apr 2008 13:34:28 +0000 http://neoneocon.com/2008/04/12/and-speaking-of-apollonian/#comment-63804 A nice compare and contrast is if you take a look at the stuff above and then go to this anti-American piece of art here. <a href="http://www.telegraph.co.uk/news/main.jhtml?xml=/news/2008/04/11/wopera111.xml" rel="nofollow">Public places not recommended</a> A nice compare and contrast is if you take a look at the stuff above and then go to this anti-American piece of art here.

Public places not recommended

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