It's become quite popular to aggregate data on maps using hexagonal bins. But, as I jokingly thought one day, what if cartographers instead used Penrose tiles? A Penrose tiling is a form of tessellation. It's fun and unique in that it fills the entire plane, but has no repeats. They look interesting and are sort of regular, without being too regular.
Penrose BinningApril 2015
I can think of no proper cartographic use for Penrose binning, but it's fun to look at, and so that's good enough for me to play with the idea from time to time. You can also read a little more on my blog.