photo sharing and upload picture albums photo forums search pictures popular photos photography help login
Type your message and click Add Comment
It is best to login or register first but you may post as a guest.
Enter an optional name and contact email address. Name
Name Email
help private comment
Hans S. Kim | profile | all galleries >> Galleries >> Mandeldrot Fractal Pictures tree view | thumbnails | slideshow

Mandeldrot Fractal Pictures

Computer generated fractal images. These are Mandeldrot images from mathmetical function (x - yi)^z. Exponent z is the value that plots the color of each pixel in the picture. i is an imaginary number(square root of -1). i^2 is -1 and i^3 is -i and i^4 is 1 and so on. You set a limit for z like somthing equal to or greater than 400 and you calulate the function until the value of the function reaches 4.0. Then you take the z value, number of iteration, and divide it by the number of colors that you are using for the picture. For instance in these pictures I used 1024 colors. So you divide the z by 1024 and take the remainder of the division and use it as the color index to plot the x and y point. If z reaches 400 or whatever the max iteration count is and the value of the function still did not reach 4.0 then you put a black pixel for that point(x,y). x and y is a floting point number that is mapped to the physical screen. If you set the picture size to 1200x900 and horizontal mapping goes from -2.0 to 2.0 and vertical mapping also goes from -2.0 to 2.0 than 0 is -2.0 and 1200 is 2.0 for x and 0 is -2.0 and 900 is 2.0 for y. Some of these pictures are points ploted in 1 billionth of and area. Most beatiful pictures are in the range of 1000th to millionth.
mandeldrot.jpg
mandeldrot.jpg		 mandeldrot_a.jpg
mandeldrot_a.jpg		 mandeldrot_b.jpg
mandeldrot_b.jpg		 mandeldrot_c.jpg
mandeldrot_c.jpg
mandeldrot_d.jpg
mandeldrot_d.jpg		 mandeldrot_e.jpg
mandeldrot_e.jpg		 mandeldrot_f.jpg
mandeldrot_f.jpg		 mandeldrot_g.jpg
mandeldrot_g.jpg
mandeldrot_h.jpg
mandeldrot_h.jpg		 mandeldrot_i.jpg
mandeldrot_i.jpg		 mandeldrot_j copy.jpg
mandeldrot_j copy.jpg		 mandeldrot_k.jpg
mandeldrot_k.jpg
mandeldrot_l.jpg
mandeldrot_l.jpg		 mandeldrot_m.jpg
mandeldrot_m.jpg		 mandeldrot_n.jpg
mandeldrot_n.jpg		 mandeldrot_o.jpg
mandeldrot_o.jpg
mandeldrot_p.jpg
mandeldrot_p.jpg		 mandeldrot_r.jpg
mandeldrot_r.jpg		 mandeldrot_s.jpg
mandeldrot_s.jpg		 mandeldrot_t.jpg
mandeldrot_t.jpg
mandeldrot_u.jpg
mandeldrot_u.jpg		 mandeldrot_v.jpg
mandeldrot_v.jpg		 test.jpg
test.jpg		 test3.jpg
test3.jpg

comment | share
click on thumbnails for full image