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GALTON BOARD SIMULATION

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The objective of the program is to provide a solution to the IPT 2024 question that states:

Dropping a set of beads on a board with evenly distributed pegs results in a binomial distribution. Is it possible to generate other kinds of distributions by varying some parameters (Pegs size, pegs distribution, bead format, etc.)? Is it possible to achieve a distribution that does not obey the central limit theorem in an i.i.d. scenario? What happens to the distribution when one makes the board vibrate?

This is a simulation of the galton board that allows to obtain probability distributions from solving the physical system with certain configurable conditions. It is possible to customize values such as:

  • Number of particles.
  • Angle and initial velocity of the particles.
  • Characteristics of the pins.
  • Vibrations of the pins.
  • etc.

The presentation of the proposed solution given by the Colombian team can be seen here.

Developed by: IPT UniValle Group ❤️

  • Nicolas Aguilera.
  • Kevin Giraldo.
  • Andres Valencia.

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