Fractal lamp shade

I always loved fractals. Simple formulas resulting in (infinite) complex structures. Loosely based on the Koch snowflake I have created this lamp shade after accidentally destroying my Ikea Basisk lamp shade.

The idea is to have a base plane that is replaced by 9 smaller planes, each located at different depths. Repeat this process for each of the smaller planes "almost" ad infinitum and there you go!