Cayley Quilt Maker 
Instructions 
Cayley tables show the results of combining elements in a set using various operations. The tables' symmetrical patterns illustrate the sets' mathematical properties. To make a quilt, first paint a collection of small tiles which represent the elements of the set. The set can have 4, 6, or 8 tiles. Set the number of tiles using the Tiles control. Then switch the View control to Tiles, select a paint brush and color, and paint the tiles. When you have painted a set of tiles, you can view a Cayley table for the set by switching the View control to Table. The Operation control lets you choose the type of Cayley table from the following options :
Addition mod n (shown above)

About Cayley Quilt Maker 
Cayley Quilt Maker  copyright (c) Scott Lopez 2010.
Windows OS users can get the free userfriendly Windows version of this app here : 