grenv: "One piece each wouldn't work, it [the 2 pieces each case] relied on players hitting each other's block."

I can imagine a 2 pieces each case with the two blocks at a given distance apart ( say 3 points) and 3-3 is endlessly rolled. This will give a single infinite game, so maybe I haven't found the one you were thinking of.

The 1 piece case that I'm envisaging is similar to the 5-5 case mentioned below except that the 14 pieces on each ace point have been born off first. Then it's a question of combinations of rolls that ensure that a piece keeps getting hit.