There is underlying mathematical structure everywhere – it’s just a matter of finding the best way to unfold it from the data. I’ve been working on a project to objectively rank mixed martial arts fighters. It’s not anywhere near done yet, but I’ve collected a fair bit of data. Here’s what nearly 2000 MMA fights in the UFC and Pride FC over the last 15 years look like expressed as a directed graph with a force directed layout.
You can see fights clumped into UFC (top) and Pride (bottom) organizations, with a subset of fighters acting as ambassadors between both.