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Many have dedicated their time trying to determine the ideal conditions for acylinder to have equal probabilities of falling with one of its faces facingupwards or on its side. However, to this day, there is no concrete analysis ofwhat these conditions should be. In order to determine such circumstances, atheoretical analysis was conducted, considering approaches from Rigid BodyDynamics and Statistical Mechanics. An experimental system was also built toimprove control over the launches, and a comparative analysis was performedbetween the results obtained experimentally and the theory. It was concludedthat the environment and other launching conditions have a significantinfluence; nevertheless, it is possible, under controlled conditions, todetermine, within certain limits, the expected probabilities.

A statistical mechanical analysis on the possibility of achieving fair cylindrical dice