Page 2 of 3 FirstFirst 123 LastLast
Results 11 to 20 of 23

Thread: Beautiful Mind - Jason Padgett and Fractals

  1. Registered TeamPlayer CivilWars's Avatar
    Join Date
    02-13-07
    Location
    Fort Worth, TX
    Posts
    42,785
    Post Thanks / Like
    Blog Entries
    5
    Stat Links

    Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals
    Gamer IDs

    Steam ID: CivilWars CivilWars's Originid: CivilWars
    #11

    Re: Beautiful Mind - Jason Padgett and Fractals

    I used to have those same plastic stencils when I was a kid.


  2. Registered TeamPlayer (2)manno's Avatar
    Join Date
    12-23-07
    Posts
    2,072
    Post Thanks / Like
    Stat Links

    Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals
    #12

    Re: Beautiful Mind - Jason Padgett and Fractals

    that's a bit harsh bunni, the man needs a purpose. what's irritating isn't that someone may or may not need him, it's that as a genius, like so many geniuses, he's not able to create something useful with his talent himself (yet anyway). i leave you with this thought:

    "Nothing in the world can take the place of Persistence. Talent will not; nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not; the world is full of educated derelicts. Persistence and determination alone are omnipotent. The slogan 'Press On' has solved and always will solve the problems of the human race." - Calvin Coolidge
    Last edited by (2)manno; 05-01-12 at 10:47 AM.
    Quote Originally Posted by Murker1 View Post
    You don't find (2)manno...(2)manno finds you.

  3. Registered TeamPlayer
    Join Date
    04-17-07
    Posts
    20,817
    Post Thanks / Like
    Blog Entries
    4
    #13
    Quote Originally Posted by Bunni View Post
    That, crap irritates me so much. Its quite rare that any <160 IQ's have any meaningful jobs. Which IMO is a result of our societies current structure (disregards anyone who is not the norm, ie on the lower end of the IQ scale as well as those on the higher end).
    Ah that makes sense in regards to your comment. Thank you. I took that as less of a slight and more of a comment or statement about the novelty or oddity (at least with respect to "common" perceptions of intellect) of a highly intelligent individual doing a more mundane set of tasks. I realize the false assumption there, but also see it for a literary device and not an insult or aspersion in this instance.

    Sent via highly charged bolt of electricity.

  4. Registered TeamPlayer
    Join Date
    04-17-07
    Posts
    20,817
    Post Thanks / Like
    Blog Entries
    4
    #14

    Re: Beautiful Mind - Jason Padgett and Fractals

    Quote Originally Posted by (2)manno View Post
    that's a bit harsh bunni, the man needs a purpose. what's irritating isn't that someone may or may not need him, it's that as a genius, like so many geniuses, he's not able to create something useful with his talent himself (yet anyway). i leave you with this thought:

    "Nothing in the world can take the place of Persistence. Talent will not; nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not; the world is full of educated derelicts. Persistence and determination alone are omnipotent. The slogan 'Press On' has solved and always will solve the problems of the human race." - Calvin Coolidge
    (2)manno - I don't think bunni is calling the man, Padgett, and idiot. But rather attributing idiocy to the article's author for the stated incredulity (journalistic device imo) of this mathematical savant, genius, working at a hardware store.

  5. Registered TeamPlayer (2)manno's Avatar
    Join Date
    12-23-07
    Posts
    2,072
    Post Thanks / Like
    Stat Links

    Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals
    #15

    Re: Beautiful Mind - Jason Padgett and Fractals

    i realize that, and i don't think he's stabbing the author either. i simply thought bunni's comment on society was a bit presumptious.

    Quote Originally Posted by Bunni View Post
    That, crap irritates me so much. Its quite rare that any <160 IQ's have any meaningful jobs. Which IMO is a result of our societies current structure (disregards anyone who is not the norm, ie on the lower end of the IQ scale as well as those on the higher end).
    Quote Originally Posted by Murker1 View Post
    You don't find (2)manno...(2)manno finds you.

  6. Registered TeamPlayer Xavsnipe's Avatar
    Join Date
    10-20-07
    Posts
    13,250
    Post Thanks / Like
    #16

    Re: Beautiful Mind - Jason Padgett and Fractals

    Hey 2 manno...go fuck yourself... persistently.

  7. Registered TeamPlayer
    Join Date
    04-17-07
    Posts
    20,817
    Post Thanks / Like
    Blog Entries
    4
    #17

    Re: Beautiful Mind - Jason Padgett and Fractals

    Quote Originally Posted by Derek View Post
    But being able to draw geometric shapes does not make you a mathematical genius. Also, none of the pictures shown were fractals.
    BTW Derek (if you're still paying attention to this thread that you commented on) - you should read pages 3-5 of the paper, IRB approved and funded too, where it talks about his drawing of Pi and his mathematical proof proving it:
    https://docs.google.com/file/d/0B0GE.../preview?pli=1

    JP then made a drawing
    of Pi with a ruler and compass (Fig 1, 2). The result was amazing. He didn’t know what it meant.
    But he instinctively knew it was important. He later realized his drawing represents an equation
    and proved it (Fig 3). Pi is the ratio of the perimeter, Pn, of a regular polygon with n sides
    circumscribed around a circle with diameter d to d, as n increases to infinity. With n = 6 (a
    hexagon), we get 3. With n = 360, we get 3.141552779, and with a higher n, we get an even
    better approximation. Regardless of how high we set n, we will never quite get Pi, because Pi is
    a limit. As JP points out, the problem of getting the exact value of Pi is similar to the problem
    that Mandelbrot had with measuring the perimeter of a coastal line. The smaller the yardstick
    you use the longer the perimeter, and if you were to keep making the yardstick smaller, you’d
    have an infinite perimeter. This is also known as the “Yardstick Problem”.

    Sometime after JP begun drawing, he had started working in a furniture store, and he was
    eager to show his drawings to people. He realized that while people thought his drawings were
    fascinating, most people didn’t understand what he said about them. A mathematician told him
    that he had to learn to speak the language of mathematics if he wanted to make himself
    understood. He then went and took a trigonometry class and a couple of calculus classes at a
    local community college. This made him realize that his drawings depicted approximations of
    mathematical fractals. In 2010 JP won Best International Newcomer in the Art Basel Miami
    Beach competition.

    Synesthesia and Savant Syndrome

    JP never received an official diagnosis of his condition. An assessment of his symptoms,
    however, suggests that he has synesthesia, savant syndrome, OCD and atypical function of
    areas in the occipitotemporal intersection.

  8. Registered TeamPlayer
    Join Date
    06-12-11
    Location
    Pittsburgh
    Posts
    261
    Post Thanks / Like
    Stat Links

    Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals
    Gamer IDs

    Steam ID: Kered13
    #18

    Re: Beautiful Mind - Jason Padgett and Fractals

    Quote Originally Posted by Alundil View Post
    Also - are you sure about that? How good is your understanding of what a fractal is? Or what shapes or designs can be produced by fractals without the item produced itself being a fractal?

    This is a mountain. Generated entirely by fractals.
    That is a fractal. The pictures in the article (including the circle) are not fractals. They are envelopes, which are completely unrelated.

    As JP points out, the problem of getting the exact value of Pi is similar to the problem
    that Mandelbrot had with measuring the perimeter of a coastal line. The smaller the yardstick
    you use the longer the perimeter, and if you were to keep making the yardstick smaller, you’d
    have an infinite perimeter. This is also known as the “Yardstick Problem”.
    This overlooks a huge difference between measuring the perimeter of a circle and measuring the length of a coastline that makes the entire statement pointless. If you measure the perimeter of a circle with smaller and smaller yardsticks, the perimeter will converge to a single value. For a circle with diameter 1, this value is pi. But if you measure the perimeter of a fractal coastline with smaller and smaller yardsticks, the perimeter increases to infinity, thus having no well defined value.

    Taking a look at the picture of the proof in the article, it is circular and therefore meaningless. The final lines, as far as I can read, say f(x) = x*sin(pi/x), f(x)->pi as x->infinity. This is true, but useless for defining pi, because the formula already includes pi. Furthermore, based on reading the article, it appears that the proof is based on calculating the perimeter of regular n-gons as n goes to infinity. If this is correct, I did the same thing in 10th grade and my math teacher correctly pointed out to me that it is circular, for the reason above.

    I hate to be the party pooper here, but this man is no mathematical genius.
    Last edited by Derek; 05-02-12 at 05:12 PM.

  9. Registered TeamPlayer DJ Ms. White's Avatar
    Join Date
    11-13-07
    Location
    Plano, TX and Ruston, LA
    Posts
    32,364
    Post Thanks / Like
    Blog Entries
    43
    Stat Links

    Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals Beautiful Mind - Jason Padgett and Fractals
    Gamer IDs

    Steam ID: DJMrWhite
    #19

    Re: Beautiful Mind - Jason Padgett and Fractals

    Quote Originally Posted by Derek View Post
    That is a fractal. The pictures in the article (including the circle) are not fractals. They are envelopes, which are completely unrelated.


    This overlooks a huge difference between measuring the perimeter of a circle and measuring the length of a coastline that makes the entire statement pointless. If you measure the perimeter of a circle with smaller and smaller yardsticks, the perimeter will converge to a single value. For a circle with diameter 1, this value is pi. But if you measure the perimeter of a fractal coastline with smaller and smaller yardsticks, the perimeter increases to infinity, thus having no well defined value.

    Taking a look at the picture of the proof in the article, it is circular and therefore meaningless. The final lines, as far as I can read, say f(x) = x*sin(pi/x), f(x)->pi as x->infinity. This is true, but useless for defining pi, because the formula already includes pi. Furthermore, based on reading the article, it appears that the proof is based on calculating the perimeter of regular n-gons as n goes to infinity. If this is correct, I did the same thing in 10th grade and my math teacher correctly pointed out to me that it is circular, for the reason above.

    I hate to be the party pooper here, but this man is no mathematical genius.
    I wasn't going to say it, but this. It'll be interesting to see if he develops into something but him a savant? I feel they're using that term too freely.
    enf-Jesus its been like 12 minutes and you're already worried about stats?! :-P
    Bigdog-
    Sweet home Alabama you are an idiot.

  10. Registered TeamPlayer
    Join Date
    04-17-07
    Posts
    20,817
    Post Thanks / Like
    Blog Entries
    4
    #20
    I agree that it will be interesting to see what he accomplishes, if anything. I'll be honest and say that this story fascinates me.

    I'm a bit curious as to why you're doubtful of the savant description though. He seems to match many of the descriptions that I've read about over the last few days. This fascinates me because I went to school with a boy who was a mathematics savant and a functional autistic. So that's basically my interest. I have no reason to discount the IRB paper or the author's hypothesis. It seems reasonable to me at this juncture. Granted more research is needed. Hopefully there will be more research. But I can says he's not the first person to "become" a savant after trauma of some type.

    As for the fractals, I'm not a mathematician. In math I am a layperson. I freely admit that. But what I am is a highly analytical person and am paid quite well for my analytical skills. With that said I take in concepts pretty well and pretty quickly. With that said, many of his drawings have, what appear to me, fractal like qualities, namely self-symmetry across various levels of magnification. His point about Pi perhaps is not well explained (or perhaps his thought process through the explanation) but I find it an interesting thought nonetheless and see it as perhaps a novel new way of thinking about an old concept.

    At any rate, the jury on this is still decidedly out. If it turns out to be insignificant that's ok. It is cool art regardless. But if it turns out to be something more than substantive, that would be cooler still.

    Sent via highly charged bolt of electricity.

Page 2 of 3 FirstFirst 123 LastLast

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Tags for this Thread

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  
Title