Some solutions for n=3 0=self 1=nw 3=ne 4=w 6=e 7=sw 9=se (reciprocal directions total 10).
.69.49.00...00.00.00...00.67.47...00.67.47...00.00.00...69.49.00...00.79.00
.69.14.17...69.49.00...36.34.00...36.34.00...69.47.00...69.14.17...39.00.17
.00.13.00...00.16.14...00.79.00...00.69.47...39.16.47...00.13.00...00.13.00
.00.67.47...00.79.00...39.69.14...00.39.17...00.13.00...00.00.00...00.79.00
.39.39.00...36.49.17...00.16.14...00.36.14...00.00.00...69.47.00...39.67.14
.00.16.14...00.36.14...00.00.00...00.00.00...00.00.00...36.14.00...36.14.00
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