Nest smoke alarm: How to create the "fibonacci-like" hole-pattern

I just came across this Nest smoke alarm, and got curious about the pattern on the front: https://nest.com/blog/2013/10/08/meet-the-nest-protect-smoke-and-co-alarm/

Is it possible to somehow through one or more pattern features to create something like on the attached picture? I can't crack it myself. Help is appreciated