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### #ActualÁlvaro

Posted 07 February 2014 - 06:34 AM

for me i may repeat it seem this is not worse fractal than sierpiński carpet

Take a square. If you scale it up by a factor of 3 in every direction, you get a figure composed of 9 copies of the original square. We can then define the dimension of the square as log(9)/log(3)=2 (that is, what power of the scaling factor gives you the number of copies).

If you scale the Sierpinski carpet up by a factor of 3 in every direction, you get a figure composed of 8 copies of the original Sierpinski carpet. Therefore its dimension is log(8)/log(3) = 1.89278926071437231130... That's why we call that a fractal.

I have no idea why you still think your image is a fractal. The way I see it, what you plotted is a couple of hundred concentric circles, which when sampled with a regular grid result in a spectacular moiré pattern. It's not like we are saying your image isn't pretty: It just has little to do with fractals.

I found this link: http://www.nahee.com/spanky/www/fractint/circle_type.html (Notice the "not a fractal" part.)

### #1Álvaro

Posted 07 February 2014 - 05:23 AM

for me i may repeat it seem this is not worse fractal than sierpiński carpet

Take a square. If you scale it up by a factor of 3 in every direction, you get a figure composed of 9 copies of the original square. We can then define the dimension of the square as log(9)/log(3)=2 (that is, what power of the scaling factor gives you the number of copies).

If you scale the Sierpinski carpet up by a factor of 3 in every direction, you get a figure composed of 8 copies of the original Sierpinski carpet. Therefore its dimension is log(8)/log(3) = 1.89278926071437231130... That's why we call that a fractal.

I have no idea why you are still think your image is a fractal. The way I see it, what you plotted is a couple of hundred concentric circles, which when sampled with a regular grid result in a spectacular moiré pattern. It's not like we are saying your image isn't pretty: It just has little to do with fractals.

I found this link: http://www.nahee.com/spanky/www/fractint/circle_type.html (Notice the "not a fractal" part.)

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