These guys use four transformations with simple rotation parameters. All I changed is the scaling factor of the two central transformations and their centers. It shows how the nature and feeling of the image can change dramatically with just a few little parameter changes.
Fancy geometric fractal
Simple nearly symmetric
Diminishing the top scaling emphasizes the edges
Balance the top and bottom and move them closer together
Tightening the bottom and loosening the top looks completely different
moving the bottom transform up changes the overall shape
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