n=10: 27 directions of short trajectories of length <= 7.0; 9 sample points on a side per direction
parity of the type (n even) | ratios of the preclosed lengths | reduced factors per length | number of directions | example (reachable point, unreduced factors)
   0 | (1.0, 1.618034) | ((1,), (1,)) | 19 | ((1, 0, 0, 0), ((5,), (5,)))
   1 | (1.0, 2.618034, 3.236068) | ((5,), (5,), (1,)) | 8 | ((-1, 1, -1, 2), ((5,), (5,), (1,)))
patterns with a reduced factor equal to n: 0
