# Galton Board

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This Demonstration shows the path of a point mass falling through a Galton board under the influence of gravity and air friction. The nails that deflect the point mass are modeled to have a finite radius and a soft, rubberÃ¢Â€Âlike surface material. The detailed path of the point mass depends sensitively on the initial conditions.

Contributed by: Michael Trott with permission of Springer (March 2011)

From: *The Mathematica GuideBook for Numerics*, second edition by Michael Trott (© Springer, 2008).

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

For theoretical results on flows through Galton boards, see:

L. Bruno, A. Calvo, I. Ippolito, "Dispersive Flow of Disks through a Two-Dimensional Galton Board," *Eur. Phys. J. E*, 11(2), 2003 pp. 131-140.

N. Chernov, D. Dolgopyat, "Diffusive Motion and Recurrence on an Idealized Galton Board," *Phys. Rev. Lett.*, 99(3), 030601, 2007.

For the influence of the operators on the paths, see:

R. G. Jahn, B. J. Dunne, "On the Quantum Mechanics of Consciousness, with Application to Anomalous Phenomena," *Found. Phys.*, 16(8), 1986 pp. 721-772.

B. J. Dunne, R. D. Nelson, and R. G. Jahn, "Operator-Related Anomalies in a Random Mechanical Cascade," *J. Sc. Explor.*, 2(2), 1988 pp. 155-179.

## Permanent Citation

"Galton Board"

http://demonstrations.wolfram.com/GaltonBoard/

Wolfram Demonstrations Project

Published: March 7 2011