Some solutions for n=2
..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1
..2....2....2....2....2....2....2....2....2....2....2....2....2....2....2....2
..3....3....3....3....3....3....3....3....3....3....3....3....3....3....3....3
..4....4....4....4....4....4....4....4....4....4....4....4....4....4....4....4
..5....5....5....5....5....5....5....5....5....5....1....5....5....5....5....5
..6....1....2....2....6....1....6....1....1....1....5....6....1....6....6....2
..3....6....6....6....1....6....1....6....6....3....3....1....6....2....2....6
..2....3....3....1....2....2....3....4....4....6....6....3....3....1....4....3
..4....5....4....3....3....5....2....2....3....2....2....5....2....5....1....5
..5....2....1....4....4....3....6....5....5....5....4....6....5....4....3....1
..1....4....5....5....6....4....4....6....2....4....5....2....4....3....5....4
..6....6....6....6....5....6....5....3....6....6....6....4....6....6....6....6
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