These are pictures of "diagonal slices" of the three dimensional lattice of games generated by *2, g, and {0,g,g*}.

Blue means the game is a win and the game plus * is a win.

Red means the game is a win and the game plus * is a loss.

Green means the game is a loss and the game plus * is a win.

In the next picture, black means a win and white means a loss.