Some solutions for n=3 0=self 1=nw 3=ne 4=w 6=e 7=sw 9=se (reciprocal directions total 10)
..0..7..0....0..9..0....0..7..0....0..7..0....0..0..0....0..6..4....0..6..4
..3..9..0....0..7..1....3..7..0....3..7..0....0..7..0....6..4..0....6..4..0
..0..9..1....3..0..0....3..6..4....3..7..0....3..7..0....9..7..0....0..7..0
..0..7..1....0..6..4....0..9..0....3..7..0....3..6..4....3..1..0....3..0..0
..3..7..7....0..7..0....6..4..1....3..0..7....6..4..0....0..6..4....0..6..4
..3..3..0....3..9..0....0..7..0....0..3..0....0..7..7....0..9..0....0..9..7
..6..4..0....6..4..1....3..0..0....0..0..0....3..3..0....0..0..1....0..3..1
|