You read the paper Collective Motion of Moshers at Heavy Metal Concerts, watched mesmerizing moshing gifs and finally decided to simulate the pit yourself.
The year was 1945. Two earthshaking events took place: the successful test at Alamogordo and the building of the first electronic computer. Their combined impact was to modify qualitatively the nature of global interactions between Russia and the West. No less perturbative were the changes wrought in all of academic research and in applied science. On a less grand scale these events brought about a [renaissance] of a mathematical technique known to the old guard as statistical sampling; in its new surroundings and owing to its nature, there was no denying its new name of the Monte Carlo method (PDF). -N. MetropolisConceptually talked about on MeFi previously, some basic Monte Carlo methods include the Inverse Transform Method (PDF) mentioned in the quoted paper, Acceptance-Rejection Sampling (PDFs 1,2), and integration with and without importance sampling (PDF).
"One of the most significant papers ever published in the annals of science appeared recently; it deals, for the first time ever, with one of the biggest scientific questions ever faced by the scientific community, and uses cutting-edge technology and awesome powers of deductive reasoning and logic to reach shocking, paradigm-shifting conclusions."
Next Best Thing to Being There. A Quicktime Mars Rover Simulation.
A computer aided simulation builds a spiral galaxy from its beginning. In all, 390,000 particles were placed in an arrangement similar to a newborn galaxy. The end result after three months is an event that is believed to take billions of years to occur. (animation)