niaggar/galtonboard

Windows application to simulate the Galton board, allows you to configure different parameters of the problem.

GALTON BOARD SIMULATION

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.