This is the only version that progresses past 8 rings. It’s a fun challenge to try and beat each level in the least possible moves. How many moves is that? 2^(n) -1, where n is the number of rings. I just beat level 10 with 1025 moves...trying again for 1023.
The only problem with this game is that the smallest ring can be very hard to grab, especially when it is on tower 3. Sometimes I make an error because I thought I had it and I didn’t. This is annoying because the smallest ring is the one most often moved!