Description:
- In the Galton Board you may see: the Gaussian curve of the normal distribution, or bell-shaped curve; the central limit theorem (the de Moivre-Laplace theorem); the binomial distribution (Bernoulli distribution); regression to the mean; probabilities such as coin flipping and stock market returns; the law of frequency of errors; and what Sir Francis Galton referred to as the “law of unreason.”
Four Pines Publishing is now selling new and improved Galton Boards with equal distance between the std dev lines and a smaller single brass bead so it will NOT get stuck in the bins. The Galton Board is math in motion, demonstrating centuries-old mathematical concepts in an innovative desktop device. It incorporates Sir Francis Galton’s illustration of the binomial distribution, which for a large number of beads approximates the normal distribution. It also has a superimposed Pascal’s Triangle, which is a triangle of numbers that follows the rule of adding the two numbers above to get the number below. The number at each peg represents the number of different paths a bead could travel from the top peg to that peg. The Fibonacci numbers, can also be found as the sums of specific diagonals in the triangle. When rotated on its axis, the 3,000 beads cascade through rows of symmetrically placed pegs in the desktop-sized Galton Board. When the device is level, each bead bounces off the pegs with equal probability of moving to the left or right. As the beads settle into the bins at the bottom of the board, they accumulate in approximately a bell curve. Printed on the board are the bell curve, the average and standard deviation lines. The bell curve, also known as the Gaussian distribution, is important in statistics and probability theory. It is used in the natural and social sciences to represent random variables, like the beads in the Galton Board. The Galton Board is reminiscent of Charles and Ray Eames’ groundbreaking 11-foot-tall “Probability Machine,” featured at the 1961 Mathematica exhibit. An even larger Eames probability machine was showcased at IBM’s Pavilion for the 1964 World’s Fair in New York. Both the Galton Board and the superimposed Pascal’s Triangle incorporate many related mathematical, statistical and probability concepts. The Galton Board is 100% satisfaction
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