This amazing app for your iPad lets you draw and it then applies symmetries to everything you've drawn.  They can be mirrored, tiled, rotated, and "kaleidoscoped." You can even create your own colors. It's a great way to design a quilt if you can pull yourself away from drawing.  The Amaziograph App is available from the App store for just 99¢.

 

Click to see if this is a tool for you.