They got strings, we got generators

YOU COULD FORGIVE mathematicians for being drawn to the monster group [string teory] , an algebraic object so enormous and mysterious that it took them nearly a decade to prove it exists. Now, 30 years later, string theorists—physicists studying how all fundamental forces and particles might be explained by tiny strings vibrating in hidden dimensions—are looking to connect the monster to their physical questions. What is it about this collection of more than 1053 elements that excites both mathematicians and physicists? 

Well, for one thing, that number, 13*3*3*3*3.  Pretty clear you have already taken everything in 5 segments and skipped 7, going straight to 13.  Look at those 3s, I am betting the universe is packing sphere in spheres, we got ourselves some compound swarmulators.