• Models
  • Contests
  • Slicer
  • Login
  • Start Here
    thingiverse-iconprintables-iconcults3d-iconmakerworld-iconmyminifactory-icon

    3D GO

    3D ModelsContestsCollectionsSaved ModelsOn a mobile device?

3D GO

Privacy Policy
Configurable Galton Board 3D Printer File Image 1
Configurable Galton Board 3D Printer File Image 2
Configurable Galton Board 3D Printer File Image 3
Configurable Galton Board 3D Printer File Image 4
Configurable Galton Board 3D Printer File Image 5
Configurable Galton Board 3D Printer File Image 6
Configurable Galton Board 3D Printer File Image 7
Configurable Galton Board 3D Printer File Image 8
Configurable Galton Board 3D Printer File Thumbnail 1
Configurable Galton Board 3D Printer File Thumbnail 2
Configurable Galton Board 3D Printer File Thumbnail 3
Configurable Galton Board 3D Printer File Thumbnail 4
Configurable Galton Board 3D Printer File Thumbnail 5
Configurable Galton Board 3D Printer File Thumbnail 6
Configurable Galton Board 3D Printer File Thumbnail 7
Configurable Galton Board 3D Printer File Thumbnail 8

Configurable Galton Board

larry009 avatarlarry009

November 17, 2013

thingiverse-icon
DescriptionCommentsTags

Description

This is a device for performing statistical experiments.
Here's a video of the operation: http://youtu.be/0tp26ChmDxA

Have fun while learning about combinatorics, Pascal's triangle, probability, and the binomial distribution.
Balls are poured into the funnel and allowed to fall and collide into pegs along their journey. Ideally when a ball hits a peg head-on it has a 1/2 chance of going left or right until it finally falls into one of the bins.
The number of paths to each bin is given by C( N, x ).
N is number of rows of pegs (including the top edge of the bins) and x takes values from 0 to N (say 0 is the leftmost bin and N is the rightmost).

There is a triangle overlay that shows all of these numbers and the number of paths through each intermediate peg. This also happens to be Pascal's triangle. You can lay the overlay right over the pegs but take it off when performing experiments.

This particular Galton board will allow you to adjust N anywhere from 1 to 8 and so you can run experiments with as little as 2 bins or up to 9 bins. This is done by plugging the funnel into the corresponding holes aligned above the triangle of pegs.
Ideally and over the long run the number of balls in each bin will follow the binomial distribution.

License:

Creative Commons - Attribution - Share Alike

Related Models

Modular Mounting System preview image

Modular Mounting System

HeyVye profile image

HeyVye

69,126

Spiral Balls (Fidget Toy) preview image

Spiral Balls (Fidget Toy)

DeadCat1337 profile image

DeadCat1337

798

High Bouncing Ball preview image

High Bouncing Ball

O&B profile image

O&B

907

3D Printable Jet Engine preview image

3D Printable Jet Engine

Catiav5ftw profile image

Catiav5ftw

39,755

Christmas Balls Set 01 for tree decoration preview image

Christmas Balls Set 01 for tree decoration

miglo profile image

miglo

1,420

Bouncy TPU Stress Ball preview image

Bouncy TPU Stress Ball

Generic Makerspace profile image

Generic Makerspace

1,457

G-Clamp fully printable preview image

G-Clamp fully printable

joehann profile image

joehann

38,586

Bubble Gum pot and planter for plants - vase mode preview image

Bubble Gum pot and planter for plants - vase mode

SASSy Design profile image

SASSy Design

708