Since the Galton Board knows you've been jonesing to see all the old, dead mathematicians in one place, within its tilting translucent walls and rolling metal balls you'll be able to witness: the Gaussian curve of the normal distribution; the de Moivre-Laplace theorem; the Bernoulli distribution; Pascal's Triangle; and Fibonacci numbers. Because the Galton Board is a desktop toy depicting Math! In! Motion!
From the bell curve and binomial distribution, regression to the mean and stock market returns, the Galton Board is a nifty little teaching piece / gift for a geek that consolidates a ton of different centuries-old math concepts into one little (semi-)artistic display piece. The Galton Board is modeled after an 11' Charles and Ray Eames "Probability Machine," shown at the 1961 Mathematica exhibit.
A few examples of where to find the Galton Board's mathematical, statistical and probability concepts: