Archive for January 2011
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Graph Theory, Algorithmic Consensus, and MMA Ranking
I’ve been working on an objective ranking system lately that could be applied to groups with large numbers of individual competitors, like the sport of mixed martial arts (MMA). The biggest issue compared to typical ranking systems is that there are so many participants that they cannot all compete against each other in a round-robin [...]
Directed Graphs and MMA
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 [...]
Color Cycled Lorenz Attractor
Another visualisation of the Lorenz attractor discussed in Lorenz and the Butterfly Effect, color cycled between green and blue. A path of one million points, newer values are green, older values are blue. I’ve also produced some higher resolution stills with better antialiasing. Built with Processing.
Lorenz and the Butterfly Effect
In 1962, Edward Lorenz was studying a simplified model of convection flow in the atmosphere and discovered something that wasn’t simple at all.
