Chinese Jacks were made of small plastic rings. One ring was in the center and all the other rings were attached to that center ring. It was like a key-ring with a lot of keys. This created the Chinese Jack.
The way we played Chinese Jacks was a balancing game. You started with one Jack in your hand (palm up) and threw the Jack in the air. The object was to catch the Jack on the back of your hand. If you caught it, you would add one more Jack to your hand and throw both Jacks up. This went until you dropped a Jack.
I remember that when I got good at the game, I didn't have enough Chinese Jacks so I would remove some of the rings off each Jack to create slightly smaller jacks. However, there was a point at which you had removed so many rings that they were no longer even proper Chinese Jacks!