Some solutions for n=3 0=self 1=nw 3=ne 4=w 6=e 7=sw 9=se (reciprocal directions total 10)
.00.67.47...00.69.47...00.69.47...00.69.47...00.67.47...00.00.00...00.79.00
.36.34.00...69.34.17...00.39.17...00.36.14...39.39.00...00.67.47...39.67.14
.00.00.00...00.13.00...00.36.14...00.00.00...00.16.14...36.34.00...36.14.00
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