Found a Cool Non-symmetrial Square Fractal: How to Make It?
lazarus / 39-Graphics

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Boleeman · 2024-08-09 22:30

I stumbled across a cool looking Square/Box Fractal at:
https://math.stackexchange.com/questions/1081922/self-similar-fractal-
dimension-of-unsymmetrial-fractal

Wondered if anyone has made such a fractal in Lazarus/Delphi, as it
looks so cool?

Some info. on the fractal:
The curve is generated using a technique called condensation.
The central square has a size of 1^2
All subsequent squares have the half of the edge length.
The distance is also half of the edge length of the previous square.

Using the distance scale down factor of 0.5 and the square scale down
factor of 0.5, the resulting fractal has a perimeter of 4v, where v is
5∗2–√/2 .
Consequently, when each square is replaced by the whole set , then the
scale down factor of the whole fractal is 1/v.