Are your d20s missing?
Perhaps the buckyballs’ 32 faces can be labelled from 1 - 32. A match between robots in opposing teams can be played, with the number appearing on the top face of the buckyball counted as points.
Buckyballs in the middle zone are 1 x the rolled number on the top face of the buckyball.
Buckyballs in the scoring zone are 2 x the rolled number on the top face of the buckyball.
Buckyballs in the goals are 3 x the rolled number on the top face of the buckyball.
The large ball would be 10 or 20 points in the middle or scoring zones respectively.
Whichever team scores the higher score wins the “battle”/“conflict” in your RPG.