And then, because a friend in need is a friend indeed, I asked another great origamist - Ecaterina Vasile, to give me some directions for turning my cubes into...balls. :)
And so, 220 cubes later and 1320 pieces of paper, I have two spheres.
For this one, the pink pieces of paper measure 3cm, and the yellow ones, 1.5cm:
For the next one, the black pieces of paper measure 6cm, the blue measure 3cm, and the white ones, 1.5cm: