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      CommentAuthorGypsy
    • CommentTimeDec 3rd 2007 edited
     (116.1)
    Fractal: an object whose Hausdorff-Besicovitch dimension is greater than its topological dimension.

    Kudos to you if you understand and can define the definition in English...

    * Is there anyone here that creates these?
    * Are there other computer programs that anyone can recommend besides the one I mention below?
    * Has anyone used FLAM3?
    * Anyone just like Fractals and have a few favorites they'd be willing to share?

    The following are Fractal Art Images, created by Sven Geier using a free download of a program called FLAM3 (which can be accessed from the same site). Sven has made these, and a vast array of other examples, available for common use (see the site for details) at the following site: The Fractal Bargain Bin - Wallpapers / Eye Candy / Pretty Stuff.

    Medusa

    Wave
    •  
      CommentAuthorGypsy
    • CommentTimeDec 3rd 2007
     (116.2)
    • CommentAuthorlex
    • CommentTimeDec 3rd 2007
     (116.3)
    Hmm, no mathematician, but I was lucky to see a talk by BenoƮt Mandelbrot once, which inspired me to read his book 'The fractal geometry of nature'. As far as I got it, the topological dimension is a natural number <em>n</em> (0 for point, 1 for line, 2 for plane etc...) Now, if you create fractal structures consisting of n-dimensional elements (such as the recursive Sierpinski triangle, you know, the triangle divided into more triangles into infinity), that structure has a real-valued dimension (1.58 f.ex.), also called fractal dimension.
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      CommentAuthorobliterati
    • CommentTimeDec 3rd 2007
     (116.4)
    I'm having a time out until I can learn some manners.
    <a target="_blank" href="http://deputy-dog.com/2007/11/01/11-phenomenal-images-of-earth/">These</a> were made without software but are kind of interesting...

    The eastern coast of Greenland, looking very fractal-like:

    <img src="http://img.photobucket.com/albums/v153/tempdave/00068tk2.jpg" width="400">

    And Egmont National Park in New Zealand taking the shape of the Mandelbrot set:

    <img src="http://img.photobucket.com/albums/v153/tempdave/1814291937_b53aa40ecb.jpg" width="400">

    <img src="http://img.photobucket.com/albums/v153/tempdave/mandelbrot_large.png" width="400">
    •  
      CommentAuthorGypsy
    • CommentTimeDec 3rd 2007 edited
     (116.5)
    lex: Alright...I actually understood that...and that scares me a little as I won't even pretend to be a math oriented person.

    I think that talk by Mandelbrot would have been interesting, though...did he provide visuals?

    Obliterati: WOW!!! They're all wonderful, but I absolutely LOVE the first one in the series you've posted above.

    ...and now I've had a look at the ones from the link you've provided and I'm just blown away. In that series, I really like the last one from the desert.
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      CommentAuthorJaredRules
    • CommentTimeDec 3rd 2007
     (116.6)
    Fractals freak me out.
  1.  (116.7)
    Kim, those are fantastic. I'll have to give FLAM3 a try sometime.

    Have you tried contextfree? Not exactly fractals, but very interesting app to create algorithm-based images.

    context free
    •  
      CommentAuthorravnos
    • CommentTimeDec 3rd 2007
     (116.8)
    Those are sexy... I use fractal generating screensavers on my pc and laptop, because I like to just sit and stare at them from time to time.
    • CommentAuthorlex
    • CommentTimeDec 3rd 2007
     (116.9)
    There are some fractals you can grow in your garden: Romanesco

    I remember the talk by Mandelbrot only vaguely as it was quite a long time ago, but he definitively gave visuals (among others the Romanesco), as it was targeted at a general audience in a modern art museum, the ZKM in Karlsruhe, Germany.
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      CommentAuthorScribe
    • CommentTimeDec 3rd 2007
     (116.10)
    ummm, yeah, I'll take your word for it Lex, I studied Euclidean geometry in school. I have to admit, I love the shapes.
    •  
      CommentAuthorobliterati
    • CommentTimeDec 8th 2007 edited
     (116.11)
    I'm having a time out until I can learn some manners.
    How do you not post this somewhere once you've seen it?

    <a target="_blank" href="http://www.youtube.com/watch?v=7n36qV4Lk94">Dr. Ron Eglash pwning civilization <i>and</i> Brian Eno</a>

    (18 minutes of "oh my fucking god")
    •  
      CommentAuthoraike
    • CommentTimeDec 8th 2007
     (116.12)
    wow. very nice post, obliterati. off to find out more now!

    Anyone who remembers the Fight Club intro sequence with the brains, that was done using a L-System, still one of my favorite 3D sequences. Currently, houdini has the best implementation of fractals and recursive and procedural workflow in my opinion... SideFx they have a free version you can play with. A bit weird to learn, but great fun.
    •  
      CommentAuthorobliterati
    • CommentTimeDec 8th 2007
     (116.13)
    I'm having a time out until I can learn some manners.
    I think this video just crashed youtube.
    •  
      CommentAuthorDoc Ocassi
    • CommentTimeDec 8th 2007
     (116.14)
    Excellent, thanks Obliterati.

    I'll always remember finding Lapre's 3D L-Parser when I was at college, and it kept me awake for nights. For anyone interested there are a number of l parser implemented in different apps, there is one in inkscape.

    Here is a few links regarding L-Systems:
    http://homepages.cae.wisc.edu/~yu-chil/Course/CS777/yuchitech.htm

    http://spanky.triumf.ca/www/fractal-info/l-systems.htm
    •  
      CommentAuthorobliterati
    • CommentTimeDec 8th 2007
     (116.15)
    I'm having a time out until I can learn some manners.
    Sorry!
    •  
      CommentAuthorGypsy
    • CommentTimeDec 8th 2007
     (116.16)
    @obliterati
    I think this video just crashed youtube.

    Dag nabbit! I had the video all loaded and everything and was going to watch it as soon as I could get to a point where I could turn up the volume...but I got distracted with downloading fractal programs and navigated away from here with the wrong page...hope it comes back up.

    @Mark Seifert
    I just downloaded contextfree...Thank you for posting the link. I look forward to trying it out. I've only downloaded a pdf explaining FLAM3 so far...lol...I think contextfree looks a bit easier.

    @aike
    Thank you; Houdini looks like an awesome program! Got the "Apprentice" version and I'm really looking forward to seeing what it can do!
    •  
      CommentAuthorGypsy
    • CommentTimeDec 8th 2007
     (116.17)
    I see the video did come back up...yay!!!
    •  
      CommentAuthoraike
    • CommentTimeDec 8th 2007
     (116.18)
    TED the talk is part of TED, can can be found here, with lots other equally stunningly amazing ones. Have fun say byebye to your evening.
    •  
      CommentAuthorGnosus
    • CommentTimeDec 9th 2007
     (116.19)
    what about fractal intelligences?
    • CommentAuthorlex
    • CommentTimeDec 9th 2007
     (116.20)
    what is fractal intelligence?