using any size plastic cups

Form a circle with the cups you want to use. Measure the diameter across the circle in several directions to make sure you've got a perfect circle. Try removing or adding a cup to see if the circle improves. Don't be afraid to stretch it tight. Note how many cups are in this first layer.

 

Add a ring of cups on top of the first layer to make the second layer. There will be 3-4 cups fewer than first layer. (Gaps between cups are fine.) Clip on the third, fourth, or even fifth layer to finish the half. Note how many cups are in each layer. Make models of both halves and clip together to make sure the sparkleball will be round when you finally make it.

 

The 5 1/2 oz cup (right) has straighter sides than the standard sparkleball 9 oz cup (left). So even though it's smaller, it takes twice as many to make a sparkleball. Straighter sides mean that it will take more cups to make your sparkleball. (This is all math which I don't understand.)

It takes 23 16 oz cups for the first layer of a giant sparkleball (27" diameter). For great instructions check out Terry Kull's Instructable.

 

These are small 3 oz bathroom cups.   It takes 21 cups for the first layer! (oooops. Not quite a circle. You can see that this one needs work.)

 

These are 5 oz mini-tumblers from Party City. It takes only 10 of these for the first layer.

 

This shows how Rob Cox builds his sparkleballs with 7 oz cups, the only kind available in Australia. See his finished pink sparkleball below.

 

All of these sparkleballs were made by modifying the 12 - 9 - 4 basic formula and can be built with stapler, hole-puncher, or soldering iron.