Go 囲碁 could made a richer game by allowing playing more than one stone per move. But we probably want nodes with greater degree or else it might be too easy to kill groups. The triangular tessellation gives 6 neighbors. A square tessellation including diagonals gives 8. The vertices of a cubic tessellation also gives 6. Of course, there are many more tessellations and wireframe honeycombs.
Borrow an idea from Connect6: the very first move by the first player is only one stone, all subsequent moves by both players are two stones. This lessens the first player advantage.
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