Science Museum Exhibits · Interactive Exhibits · Shipped Worldwide
Galton nail board
Mathematics

Galton nail board

所属门类:Mathematics Custom build available Batch supply available
  • In stock with stable lead times — single units or complete sets
  • Size, appearance and interaction can be adapted to the museum’s theme
  • For science museums, campus science rooms, community science centers and mobile science museums
  • Export packing and overseas on-site installation support
Images and specifications are indicative only; the supply contract and approved drawings govern.

Exhibition Name

Galton board, Galton nail board

Display purpose

Galton board is a vertical wooden board that is nailed in rows parallel to each other

Iron nails with equal horizontal spacing (as shown in the figure), and each row has one more nail than the previous row. Each nail in a row should be aligned with the center of the two adjacent nails in the upper row. Place a small ball with a diameter slightly smaller than the gap between two nails at the entrance. When the ball falls from the gap between the two nails, it will have an equal chance of falling to the left or right due to hitting the next row of iron nails. Then, the ball will pass through the gap between the two nails and hit the next row of iron nails again.

Continuing like this, the ball eventually falls into the bar shaped grid below.

scientific principle

The Galton nail board is a model designed by British biostatistician Galton to study random phenomena, known as the Galton nail board (or Galton board). After the ball falls, it approaches a normal distribution

Operation method

Interactive experience The audience watches the graphic board, flips the flip board, and the small round ball descends until the last small ball rolls into a grid on the bottom plate, and then watches the result.

Design approach

Place a small round glass ball with a diameter slightly smaller than the distance between two nails at the entrance. As the ball descends, it rolls down to the left or right with a probability of 1/2 after hitting the nails, and then touches the next layer of nails. Continue like this until you roll into a grid on the bottom plate. Continuously dropping numerous small balls of the same size from the entrance, as long as the number of balls is quite large, they will be stacked on the bottom plate to form an approximately normal density function graph (i.e., a symmetrical ancient bell shape with a high middle and low ends), where n is the number of layers of nails. This is a model designed by British biostatistician Galton to study random phenomena, called the Galton nail plate (or Galton plate)

main equipment

Size: 1420 length * 420 width * 1680 height

parameter

Main materials: acrylic letters, bearings, transparent acrylic/tempered glass, plastic balls, spray booth, funnel mechanical control switch.

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