Some solutions for n=3
..0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0
..0..3..4....0..3..1....0..3..0....0..3..1....0..3..0....0..3..0....0..3..0
..0..3..1....1..3..0....1..2..5....5..3..5....0..4..5....5..3..4....5..1..0
..1..3..5....0..3..1....1..2..1....5..2..0....5..1..5....0..2..4....5..2..0
..0..2..5....5..3..4....1..2..0....0..2..0....5..3..5....5..3..4....0..4..0
Face neighbors:
0.->.1.2.3.4
1.->.0.2.3.5
2.->.0.1.4.5
3.->.0.1.4.5
4.->.0.3.2.5
5.->.1.3.4.2
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