TheRedshiftRider

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Fractal Iambus



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Fractalist ChemistGlobal ModeratorFractal IambusPosts: 854 Multi-set formula for mandelbrot and related abs-fractals. « on: November 01, 2014, 04:17:11 PM »



http://imgur.com/a/1iRLl





This is the formula I used:



abs((1.8-abs(z^2))^2)+c



It is possible to use the absre and absim on both places. You can change the powers outside the ()'s. It is also possible to change the distance between the sets and also move around the ()'s around to change the effect of the abs-function.



These were just some examples but it is possible to create these sets:



-Normal mandelbrot of any power.



-Burning ships of any power.



-Buffalo's and celtic fractals of any power.



-Perpendicular fractals. (mandelbrot, burning ship, celtic, buffalo.)



-And mandelbar fractals of any power.



-Cubic quasi (perpendicular) fractals.



-And partial burning ship fractals.



-It is also possible to create hybrids.





As far as I know this formula can be used with any power. It is even possible to let sets ''grow'' together. I've been playing around with different mandelbrot sets today and I found a very simple formula to create several mandelbrot fractals in one image. Here are some examples:This is the formula I used:abs((1.8-abs(z^2))^2)+cIt is possible to use the absre and absim on both places. You can change the powers outside the ()'s. It is also possible to change the distance between the sets and also move around the ()'s around to change the effect of the abs-function.These were just some examples but it is possible to create these sets:-Normal mandelbrot of any power.-Burning ships of any power.-Buffalo's and celtic fractals of any power.-Perpendicular fractals. (mandelbrot, burning ship, celtic, buffalo.)-And mandelbar fractals of any power.-Cubic quasi (perpendicular) fractals.-And partial burning ship fractals.-It is also possible to create hybrids.As far as I know this formula can be used with any power. It is even possible to let sets ''grow'' together. « Last Edit: November 02, 2014, 01:34:56 PM by Toofgib » Logged Motivation is like a salt, once it has been dissolved it can react with things it comes into contact with to form something interesting.