In math, there is something called Fractals. A fractal is a pattern that keeps repeating itself but gets smaller and smaller.
For instance- There is a tree. There are three boughs (big limbs) sticking out of the trunk. Then on each bough, there are three smaller limbs sticking off of each one. Then on each limb, there are big branches sticking off of each one. Then on each branch, there are three sticks sticking out of each one. Then on each branch, there are three twigs sticking off of each one. Then on the twigs, there is a leaf, and on that leaf, if you look very closely, there is a line going across it with lines sticking out of it. This is an example of a fractal.
Please reply if you don't understand what a fractal is.
Fractals are used in lots of animation in movies and other things.
For instance, in a Star Wars movie, there are two people fighting over a whole bunch of lava. That lava is simply one sprite moving up that changes colors to red and orange that leaves a trail to form a cane, but it uses a Fractal pattern when it leaves a trail and it spreads out to look realistic so it looks a lot like real lava. Fractals are also used to animate mountains.
Fractals have even effected our clothing; lots of clothes have fractal designs on them.
Just in case you're wondering why a sixth grader knows all this, I watched a Nova program about this last night. I watch them all the time; They are very interesting and I learn a lot about them. Fellow Scratchers should watch them, too.
My point is, even though fractals is a college level of math and lots of people here, like me, are only in middle school and high school and even elementary school, Scratchers could use Fractals to make cool projects. Not only could we make more a variety of projects, but using Fractals could save a lot of time on making projects since it is a repeating pattern and you wouldn't have to repeat making a certain script instead of just having it repeat the Fractal pattern.
Here is a link to a Wikipedia article on Fractals. http://en.wikipedia.org/wiki/Fractal
If you don't understand this, you should go to that article I posted the link to. If you still don't understand it, well, maybe you're just not ready to understand this kind of stuff.
Scratchers, please reply to this and tell me what you think about this idea.
Thanks for reading this forum entry!
Also, here is a link to a project I made that is an example of a fractal. http://scratch.mit.edu/projects/g8rghr/318178 and here is a link to my fractal gallery. http://scratch.mit.edu/galleries/view/33129
Here is a link to the Nova website in the section that has stuff about fractals. http://www.pbs.org/wgbh/nova/programs/
Also, if you ask me how to use fractals in your scripts or how to create a fractal pattern with your scripts, I don't know how. I might be pretty good at scripting, but I'm not really an expert; I'm really still learning how to script, just I have all of the basics on scripting and i know a little bit of advanced scripting. I just know that you can, and it can be very useful in scripting. Maybe someone who does know how to use them could reply to this and tell us how.
Last edited by g8rghr (2009-05-06 13:39:27)
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This is a wonderful discussion of Fractals - a fascinating area of Math and Graphics!
I know there have been a few projects made using fractals...maybe people could post links here to their fractal projects to show others what they are all about? Here are a few randomly selected ones that I found doing a search on "fractal"
http://scratch.mit.edu/projects/Jens/285847
http://scratch.mit.edu/projects/Cyclone103/182788
http://scratch.mit.edu/projects/mathjp/273830
http://scratch.mit.edu/projects/S65/178506
http://scratch.mit.edu/projects/ngmr/34064
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WOW That's awesome, i'm 7th grade and i didn't know that!
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I looked at Jens' Double Dragon project and he gave me the link to a Wikipedia article about fractals. It's really interesting (although all those formulas drive me mad, lol) and I think I got the main idea about fractals. I'm not so strong when it comes to math, really.
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I found this interesting packet of information about fractals. It has some great pictures too:
http://mypage.iu.edu/~mathart/viewpoints/lessons/
Just download lesson six. The lower resolution one looks just about as good as the normal one, and it's much faster to download. I recommend downloading that one first, and if you really like the pictures, you can always get the really high-def version.
g8rghr, you did a good job of explaining about fractals. I can't wait to look at your gallery : )
Last edited by PebblesRox (2009-03-28 08:40:42)
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I was browsing through the forums and stumbled upon this thread.
Fractals can be pretty amazing things. Although I've used programs like Apophysis to create fractals and animate them, I didn't expect to find them in SCRATCH. Those are some really neat SCRATCH fractals there! Maybe when I find the time, I'll make my own.
Last edited by cheddargirl (2009-03-31 22:50:05)
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big-bang wrote:
I want the Mandelbrot set as a 10'*30' mural in some subway station, lol. I love fractals, but I'm pathetic with trig (being a Grade 6, but I'd like to think that I have plenty of other number sense)
trig isn't that hard. You just need a good teacher or book. I found this one by douglas downing (I think) Trigonometry the easy way 4th ed.. It's really good. easy to understand, and its all laid out like a novel.
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[blocks]
I want to know how to make fractals. I want to know the math involved, the graphing process, and how to develope a (one) formula to input into a fractal program. I know algebra to college level 100. I know a lot about art and photography. I have no problems taking direction from younger people. I have been researching this question for a long time. I have asked lots of people I know, and lots of people I do not know from the internet. I have not received any clear and specific answers. I will appreciate any and all information. Thanks. [/blocks}
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