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Living Gold
By MakinMagic
35 Favourites28 Comments4K Views
Created using Ultra Fractal.
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© 2010 - 2021 MakinMagic
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Thanks very much.
It's really quite simple.
On each iteration choose an affine transform from a defined set - choose the one such that applying the transform to the current point produces a new point with the minimum magnitude. Apply the chosen transform (in this case scaling and translation only) then apply the main formula as normal, then apply the inverse of the IFS transform.
In this way using 6 transforms for example will produce 6 copies of the main fractal *but* the copies interact with each other so changing the appearance of them all.
It's really quite simple.
On each iteration choose an affine transform from a defined set - choose the one such that applying the transform to the current point produces a new point with the minimum magnitude. Apply the chosen transform (in this case scaling and translation only) then apply the main formula as normal, then apply the inverse of the IFS transform.
In this way using 6 transforms for example will produce 6 copies of the main fractal *but* the copies interact with each other so changing the appearance of them all.
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