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Getting Acquainted With Fractals (Repost)

Posted on 2011-03-08




Name:Getting Acquainted With Fractals (Repost)
ASIN/ISBN:3110190923
Publisher:Walter de Gruyter
Publish Date:edition 2007
Pages:177 pages
File size:2 Mb
Publisher: Walter de Gruyter
ISBN: 3110190923
Publish Date: edition 2007
File Type: PDF
Pages: 177 pages
File Size: 2 mb
   Getting Acquainted With Fractals (Repost)

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Getting Acquainted With Fractals

The first instance of pre-computer fractals was noted by the French mathematician Gaston Julia. He wondered what a complex polynomial function would look like, such as the ones named after him (in the form of z2 + c, where c is a complex constant with real and imaginary parts). The idea behind this formula is that one takes the x and y coordinates of a point z, and plug them into z in the form of x + i*y, where i is the square root of -1, square this number, and then add c, a constant. Then plug the resulting pair of real and imaginary numbers back into z, run the operation again, and keep doing that until the result is greater than some number. The number of times you have to run the equations to get out of an 'orbit' not specified here can be assigned a colour and then the pixel (x,y) gets turned that colour, unless those coordinates can't get out of their orbit, in which case they are made black.

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