Support for the
Java 2 runtime environment (version 1.4 or later). Click on the icon to download the appropriate
plug-in.Object Library > Applets > Galton Board Game
Click 1 to move the ball to the right and click 0 to move the ball to the left. The bit string is recorded in the table below, as well as the corresponding subset. Finally, the last table entry gives the current ball location and the corresponding binomial coefficient.
This applet illustrates the Galton board and Pascal's triangle. It is useful for showing the one-to-one correspondence between bit strings, subsets, and paths through the board. For a more detailed mathematical analysis, see
Click on the link below to download the Java archive file:
To add the applet to your web page, insert the following in the html file, at the point where you want the applet to appear:
<applet code="edu.uah.math.experiments.GaltonBoardGame.class" archive="GaltonBoardGame.jar"
width="500" height="400"></applet>
The jar file and the html file must be in the same folder.
This width and height dimensions are simply suggestions and can be varied. Generally, components such as graphs and tables expand and contract proportionally, while components such as buttons, scrollbars, dice, and coins are fixed in size.
Support for the
Java 2 runtime environment (version 1.4 or later). Click on the icon to download the appropriate
plug-in.Copyright © 2001-2003 Kyle Siegrist, Dawn Duehring
This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but without any warranty; without even the implied warranty of merchantability or fitness for a particular purpose. See the GNU General Public License for more details.
If you are interested in the Java source code or the Java documentation and object model for this applet, please visit GaltonBoardGame in the Object section of the Library.