WhiteTower: About infinite or not BG games, ask Grim Reaper, he had some fun calculating similar cases for Gothic Chess :)
Similar cases? No! Nothing similar as i remember......
It was just a try to calculate the upper bound of possible arrangements if no pieces were captured. The upper bound and not even the absolute number.
And of cource it can be easily shown without any calculations that the number of possible Gothic Chess games is finite. For the moment i can't easily show that the same exists for Backgammon.......