What's a fractal set?
Computer Science Canada -*-*-*-*-*-*-*-* |
| Author: | MysticAngel [ Sat Mar 22, 2003 10:49 pm ] |
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can u give me some points and tips on how to make julia sets. |
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| Author: | Tony [ Sat Mar 22, 2003 11:29 pm ] |
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first - Post subject: -*-*-*-*-*-*-*-* is NOT very descriptive. In future people may just ignore the post and it will take a while until someone answers it. second - what exactly are julia sets? |
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| Author: | Catalyst [ Sat Mar 22, 2003 11:38 pm ] |
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they are a fractal set |
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| Author: | MysticAngel [ Sun Mar 23, 2003 12:12 am ] |
| Post subject: | julia sets |
julia sets are a type of fractals. |
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| Author: | Asok [ Sun Mar 23, 2003 2:51 am ] |
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What's a fractal set? |
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| Author: | Dan [ Sun Mar 23, 2003 11:38 am ] |
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i shucred the web for some info on this and i fownd the flowing infomation wich may be help full: Quote: How can I build a Julia set? Pick a point on the complex plane (let's call it C). The corresponding complex number has the form: x_coordinate + i*y_coordinate. The following algorithm produces the Julia set associated with C: given a generic point Z on the complex plane, this algorithm determines whether or not it belongs to the Julia set associated with C, and thus determines the color that should be assigned to it. In order to see if Z belongs to the set, we must iterate the function Zn+1 = Z2n + C using Z0 = Z. What happens to the initial point Z when the formula is iterated? Will it remain near to the origin or will it go away from it, increasing its distance from the origin without limit? In the first case, it belongs to the Julia set; otherwise it goes to infinity (infinity is an attractor for the point) and we assign a colour to Z depending on the speed the point "escapes" from the origin. In order to produce an image of the whole Julia set associated with C, we must repeat this process for all the points Z whose coordinates are included in this range: -2 < x_coordinate < 2 ; -1.5 < y_coordinate < 1.5 Note that while the Mandelbrot set is connected (i.e. it is a single piece), a Julia set is connected only if it is associated with a point inside the Mandelbrot set. This is just one example of the relationships between the Mandelbrot set and Julia sets. Example: the Julia set associated with C1 is connected; the Julia set associated with C2 is not connected (see image below). 
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| Author: | MysticAngel [ Tue Mar 25, 2003 6:55 pm ] |
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k i dont know why it isnt working. the below code is the basic algorithim. i know that there is some error at the first exit statement. i tried everything but it doesnt seem, to ork. the count + 55 is the colors var p : real var q : real var maxcount : int var x, y : int := 1 var imaxx : real var imaxy : real var rx, rx2 : real var ry, ry2 : real var t : real var iwin2 : int var count : int := 0 put "Please enter a value for p" get p put "Please enter a callue for q" get q put "Please enter a range between 20 to 200)" get maxcount imaxx := p imaxy := q iwin2 := Window.Open ("graphics : 500; 500,nocursor") Window.Select (iwin2) loop rx := 3.5 / imaxx * x - 1.75 ry := 3.5 / imaxy * y - 1.75 loop loop count := count + 1 rx2 := rx * rx - ry * ry + p ry2 := 2 * rx - ry + q rx := rx ** 2 ry := ry ** 2 exit when rx * rx + ry * ry < 4 or count = maxcount if count < maxcount then count := count + 55 else count := 0 end if Draw.Dot (x, y, count + 55) end loop end loop end loop |
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| Author: | Asok [ Tue Mar 25, 2003 7:53 pm ] |
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um... you seem to have a lot of loops in that, I haven't run the code but I'm going to assume that may be your problem |
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| Author: | Tony [ Tue Mar 25, 2003 8:33 pm ] |
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no, not the loops... your values overflow and cause program to crash  Turing just cant handle that kind of numbers... You need to use a modern 32bit comiler like VC++.
also about drawdot(x,y,color)... the values of X and Y never change  they always stay 1,1 no matter what.
and I dont see the use for rx2 and ry2 ether. I think you're missing something (or have extra?) |
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| Author: | MysticAngel [ Tue Mar 25, 2003 9:15 pm ] |
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ya i know that i am missing something. I get the values of maxx and maxy frlom the values that i input from p and q. but the problem is what are values of x and y. cuz i think that the dots that are ouputed into an image are in a loop. and for the dots to make an image the x and y values have keep changing. so x,y cant be 1,1. can u think a way to get the x and y values ??  |
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| Author: | Asok [ Tue Mar 25, 2003 9:20 pm ] |
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put x put y 
simple but if u want to know the value of a variable it works |
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| Author: | MysticAngel [ Tue Mar 25, 2003 9:26 pm ] |
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yeah but if the values of x and y are always 1 ,1 as i declared them... what's the point in oputping them. |
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| Author: | MysticAngel [ Tue Mar 25, 2003 10:20 pm ] |
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Do u know any way to get the values for x and y |
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| Author: | Tony [ Tue Mar 25, 2003 10:46 pm ] |
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what MysticAngel is trying to say is "how to calculate X and Y values?" which I dont know. 
I tried looking up some info from internet, but i cant understand their formulas. I dont see the relation between all those numbers and where does i come from? I'm very |
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| Author: | Catalyst [ Tue Mar 25, 2003 10:54 pm ] |
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i have created a working julia set generator that i will post soon, maybe that will help |
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| Author: | MysticAngel [ Wed Mar 26, 2003 11:16 am ] |
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yeah that's what i am looking for. how to calcualte the x and y values? when i run the program. two things are a problem. one it sometimes gives me an error of overflow of real expressions and the second there are no dots on the screen, not even one.   . |
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