Take a 4-panel. This principle holds true for every geometric footbag I have ever tested. Wow, my brain is going to melt. Of course, notoriety awaits those who come up with really creative ways to do this. That most unique footbag pattern innovation in years was born by cutting up the original triangles of the design into spirals in a way that allowed those spirals to become the three arms of a new panel when joined where there was originally a 3-way panel joint.
Endless opportunities await the creative who want to make new patterns.
There's a woman in KC somewhere that occasionally makes a spiral 2-panel design. Get a wooden or styrofoam ball about the size of a footbag. Now, using an exacto and some imagination, carve up that ball into some totally asymmetrical panel pieces. Remember to add a little extra for the seams when you create the panel templates. Numbering your panels and putting your prototype back together will help, too.