Just a fun experiment I did back in 2016 when I learned that Penrose tilings can be constructed top down recursively, never running into dead ends.

Bottom up random tiling extensions (as you'd be able to do manually) can run into dead ends. And deviously one bad move may reveal itself as dead end only way later, I think.

I used the iteration count for the height of the vertices.
And color for debugging which gave those pretty images.

Not sure if or for what this could be practically used for.
Be creative.

It's an easy print. Prints fine.

Print Settings

Printer Brand: Ultimaker
Printer: Ultimaker Original
Rafts: No
Supports: No
Resolution: 200µm
Infill: 33%
Filament: as you like PLA or as you like

Notes:

Print it sharply pointing upward such that no supports are needed and the fractal is on the side where the FDM printer has higher resolution. That is: Towards the cooling fan if you have only one.

Category: Math Art