Step One:
These instructions will be written as if you are using two colors. If your using only one color it should be very easy to alter them to your needs (feel free to e-mail with any questions).
Open all 36 inner color rings. Open 24 outer color rings. Close the remaining 36 outer color rings. Now, string 10 closed outer rings onto an inner ring. Close that ring and add two more inner color rings through all 10 outer rings.

Step Two:
String 4 closed outer rings onto one inner ring, and weave that ring through two of the outer rings from step 1. Close that ring and add two more inner rings to the set. As you may be noticing, all inner rings will be trippled when we are finished. Now, repeat this process for all 10 of the outer rings from step 1, creating 5 new sets of inner rings, each going through 6 outer rings. From this point out, pictures will be clickable for double sized images.

Step Three:
Now take an open outer ring, and weave it through two of the 5 sets of inner rings from the last step (a total of 6 rings), above the hanging rings. Add another identical ring next to it. Continue this all the way around the ball-to-be, such that each set of inner rings from the last step has a total of 10 outer rings connected to it, two from the top, two from each side, and 4 from the bottom.

Step Four:
Now string an inner ring through 2 closed out rings. Weave that same ring through 2 of the hanging rings from one set, and two from the set next to it. Close it an triple it. This new set of inner rings should go through 6 outer rings. Now, goign aroudn the ball, make two more such sets. This should leave a total of 8 unattached hanging rings. Repeat the previous process to create two mroe sets from these rings, but make them WITHOUT the additional closed rings. Meaning each of these 2 new inner sets will go through only 4 outer rings, and have none hanging from them. Notes: The second picture is what the ball-to-be looks like after this step when laid flat. The deviation from the pattern that occurs at this step may seem a bit odd, but if you ever try to make one of these with a very tight ring size you will see why I do it this way.

Step Five:
Add an outer ring that connects two of the sets of inner rings from step four. Double it. Continue this all the way around the ball-to-be. This should remind you of step three. When finished, three of the inner sets from step four will have 10 outer rings through them, and two of said inner sets will have 8 outer rings in them.

Step Six:
Add one last set of 3 inner rings through the 6 outer rings at the bottom of the ball-to-be that currently go through only one other set.

Step Seven:
Almost done! Add 1 of the remaining 4 outer rings that connects the inner set from last step (six), and one of the two inner sets from step four that has only 8 rings connected to it. Do this again with the other set from step four.

Step Eight:
Now, just double the rings you added in last step, and your done!