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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.
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Hmm, no mathematician, but I was lucky to see a talk by Benoît 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
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"> -
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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
Fractals freak me out. -
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CommentAuthorMark Seifert
- CommentTimeDec 3rd 2007
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.
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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.
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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. -
ummm, yeah, I'll take your word for it Lex, I studied Euclidean geometry in school. I have to admit, I love the shapes.
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CommentAuthorobliterati
- CommentTimeDec 8th 2007 edited
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") -
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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. -
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CommentAuthorobliterati
- CommentTimeDec 8th 2007
I'm having a time out until I can learn some manners.I think this video just crashed youtube. -
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CommentAuthorDoc Ocassi
- CommentTimeDec 8th 2007
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 -
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CommentAuthorobliterati
- CommentTimeDec 8th 2007
I'm having a time out until I can learn some manners.Sorry! -
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@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! -
I see the video did come back up...yay!!!
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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.
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what about fractal intelligences?
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what is fractal intelligence?