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A fractal where branches split into {{ branches }} at an an angle of {{ angle }}° their length reducing by {{ radiusPercent }}% on each of {{ iterations }} iterations, for a total of {{ lineSegments }} line segments.

Inspired by The Fractal Geometry Nature. I believe the fractal tree might have been my first recursive program, I wrote it in Pascal on a PR1ME computer with the output printed on paper. I am still taken aback about how little work produces something so visually appealling.

One might notice a resemblence to Art Nouveau designs. Perhaps because Art Nouveau (from 1880) with it's abstractions of plants grew out of the flowery Arts and Crafts movement and preceeded the more geometric Art Deco".

Adding randomness to the branching wasn't as successful as I had hoped, it would like to exploring this further. It would be interesting to see what branching with three and four might looks like in 3D. The option with four branches produces more interesting patterns but with maximum iterations runs too slowly on my phone. Finally, I would like to add a variety of different fractals.

Fractal tree with random branching



σ says just how much randomness or technically speaking it is the standard deviation of the normal probablity distribution.

It seems to work best setting radius slider above to a large value and the ∡° slider to a small value.
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