Referenzen

07 Three-Sided Dice
To land a coin on its side is often associated with the idea of a rare occurrence. What should be the physical and geometrical characteristics of a cylindrical dice so that it has the same probability to land on its side and one of its faces?
  •  Wissenschaftliche Artikel
  • Probability, physics, and the coin toss

    When you flip a coin to decide an issue, you assume that the coin will not land on its side and, perhaps less consciously, that the coin is flipped end over end. What happens if those assumptions are relaxed?

    https://softmath.seas.harvard.edu/wp-content/uploads/2019/10/2011-10.pdf

  • Teaching Bayesian Model Comparison With the Three-Sided Coin

    This article introduces the problem of determining the probability that a rotating and bouncing cylinder (i.e., flipped coin) will land and come to rest on its edge.

    https://www.tandfonline.com/doi/abs/10.1198/000313007X222497

  • Thickness of a three-sided coin: A molecular dynamics study

    This Letter presents a numerical study across parameter space to calculate the aspect ratio (ratio of length to diameter) of a fair “three-sided coin”: a cylinder that when tossed, has equal probabilities of landing heads, tails, or sideways.

    https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.L041301