Some solutions with the first block increasing clockwise for 3 X 8:
..1..2..1..3..2..1..3..2....1..2..1..0..2..1..2..1....1..2..1..2..1..2..1..0
..0..5..0..4..5..0..4..0....0..3..4..5..4..5..4..0....0..4..5..4..5..3..4..5
..1..3..2..3..2..1..3..1....1..2..1..0..3..2..3..2....2..3..1..3..1..2..1..0
...
...R..L..R..L..L..R..L.......R..L..L..R..L..R..L.......R..L..R..L..R..L..L...
...L..R..L..R..R..L..R.......L..R..R..L..R..L..R.......L..R..L..R..L..R..R...
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