Comments on: Sierpinski carpet http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/ Dedicated to the mathematical arts. Wed, 20 Aug 2008 07:13:39 +0000 http://wordpress.org/?v=2.5.1 By: Jonathan Vos Post http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59641 Jonathan Vos Post Thu, 10 Apr 2008 16:16:23 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59641 Sierpinski Cookies http://www.evilmadscientist.com/article.php/fractalcookies Sierpinski Cookies

http://www.evilmadscientist.com/article.php/fractalcookies

]]> By: Peter http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59632 Peter Wed, 09 Apr 2008 11:42:56 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59632 <i>"dominant metaphor for mathematics, from mathematics as mechanics to mathematics as computer program."</i> . . . just when the dominant paradigm for computing itself is changing from computing as information processing to computing as social interaction. See: http://www.agentlink.org/roadmap/ “dominant metaphor for mathematics, from mathematics as mechanics to mathematics as computer program.”

. . . just when the dominant paradigm for computing itself is changing from computing as information processing to computing as social interaction. See:

http://www.agentlink.org/roadmap/

]]> By: Jonathan Vos Post http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59622 Jonathan Vos Post Mon, 07 Apr 2008 00:52:18 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59622 arXiv:0804.0517 Title: Singular integrals on Sierpinski gaskets Authors: Vasilis Chousionis Subjects: Functional Analysis (math.FA); Classical Analysis and ODEs (math.CA) We construct a class of singular integral operators associated with homogeneous Calder\'{o}n-Zygmund standard kernels on $d$-dimensional, $d arXiv:0804.0517
Title: Singular integrals on Sierpinski gaskets
Authors: Vasilis Chousionis
Subjects: Functional Analysis (math.FA); Classical Analysis and ODEs (math.CA)

We construct a class of singular integral operators associated with homogeneous Calder\’{o}n-Zygmund standard kernels on $d$-dimensional, $d

]]> By: Walt http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59611 Walt Sat, 05 Apr 2008 18:27:41 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59611 Mad Patter: That's true, but it's also true for a straight line on the plane, so I wouldn't hold it against the Sierpinski carpet too much.reCAPTCHA WP Error:incorrect-captcha-sol Mad Patter: That’s true, but it’s also true for a straight line on the plane, so I wouldn’t hold it against the Sierpinski carpet too much.reCAPTCHA WP Error:incorrect-captcha-sol

]]> By: Jacob Freeze http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59610 Jacob Freeze Sat, 05 Apr 2008 18:22:27 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59610 What is all that captcha junk at the end of my post? What is all that captcha junk at the end of my post?

]]> By: Jacob Freeze http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59609 Jacob Freeze Sat, 05 Apr 2008 18:21:08 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59609 Bill: The "captcha junk" at the end of your post was a miniature <a href="http://en.wikipedia.org/wiki/Turing_test" rel="nofollow">Turing test,</a> asking you to "prove you're a human being." When you failed, you were (temporarily but officially) not human. How did it feel? Was it a "blooming, buzzing confusion," or just a blank?reCAPTCHA WP Error:incorrect-captcha-sol Bill: The “captcha junk” at the end of your post was a miniature Turing test, asking you to “prove you’re a human being.”

When you failed, you were (temporarily but officially) not human. How did it feel?

Was it a “blooming, buzzing confusion,” or just a blank?reCAPTCHA WP Error:incorrect-captcha-sol

]]> By: Bill Maier http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59598 Bill Maier Fri, 04 Apr 2008 20:58:16 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59598 I see now - need to fill in the anti-spam text. I see now - need to fill in the anti-spam text.

]]> By: Bill Maier http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59597 Bill Maier Fri, 04 Apr 2008 20:56:33 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59597 <p>What is all that "captcha" junk at the end of my post?</p> What is all that “captcha” junk at the end of my post?

]]> By: Bill Maier http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59596 Bill Maier Fri, 04 Apr 2008 20:55:01 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59596 <p>The carpet has an infinite level of detail, which of course the computer can't handle. So the program produces something that is good enough for an engineer, but not for a mathematician.</p> The carpet has an infinite level of detail, which of course the computer can’t handle. So the program produces something that is good enough for an engineer, but not for a mathematician.

]]> By: Mad Patter http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59591 Mad Patter Fri, 04 Apr 2008 18:33:53 +0000 http://www.arsmathematica.net/archives/2008/04/03/sierpinski-carpet/#comment-59591 Of course, the algorithm for determing whether a point is in the Sierpinski carpet can only tell you definitively that a point is *not* in it. If the point IS in the carpet, the algorithm never halts. It's not clear to me whether that makes it a good description or not. Of course, the algorithm for determing whether a point is in the Sierpinski carpet can only tell you definitively that a point is *not* in it. If the point IS in the carpet, the algorithm never halts. It’s not clear to me whether that makes it a good description or not.

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