Barnsley Fern in Swift

If you don’t know what Barnsley Fern is, You can read more about it here.
In short a Barnsley Fern is a fractal named that can be created using an iterated function system. Function correspond to the following transformations depends on probability:

• ƒ1 (chosen 1% of the time)

xn + 1 = 0
yn + 1 = 0.16 yn

• ƒ2 (chosen 85% of the time)

xn + 1 = 0.85 xn + 0.04 yn
yn + 1 = −0.04 xn + 0.85 yn + 1.6

• ƒ3 (chosen 7% of the time)

xn + 1 = 0.2 xn − 0.26 yn
yn + 1 = 0.23 xn + 0.22 yn + 1.6

• ƒ4 (chosen 7% of the time)

xn + 1 = −0.15 xn + 0.28 yn
yn + 1 = 0.26 xn + 0.24 yn + 0.44.

Transformation in swift

Precision of fern depends on numbers of iterations. The more repetitions, the more outlined picture.

Source

Here you can find full generation algorithm, or you can visit my example project:

sayler8182/BarnsleyFern

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