Inspired by a design by Walter Janssens I decided to create a model of my own.
The beautiful fractal "Pythagorean tree" brought to life.

I printed a limited iterations model, but bigger iterations are possible. I have provided a openscad file which allows you to tweak the number of iterations, starting cube size etc..

Trivia
First constructed by Albert E. Bosman in 1942. It has been proven that the total surface area of a 2D Pythagorean tree is finite, by bounding so is the volume of this 3D pythagorean tree.
https://en.wikipedia.org/wiki/Pythagoras_tree_(fractal)

Have fun!

Printed using black PLA at 200°C, layer 0.2 mm

RepRap

Prusa i3 Hephestos

Doesn't Matter

Doesn't Matter

15% or 10%

You might need to increase the constant RADIUS in the OpenSCAD file in big iteration models. The smaller cubes are a bit brittle in my larger print.

I would be better to edit the SIZE constant in the OpenSCAD file instead of resizing the object with Cura/Slic3r.

Recursive programming using openSCAD.
First openSCAD program, it can probably be written shorter. Have a go at it and please let me know!