n=9, direction parallel to a side, start point at fraction 0.37 of the start side (not a midpoint)
 j | bounces, length of the simple preclosed part (literal definition) | bounces, length until the trajectory is closed | ratio | sides visited
 1 | 2, 3.532089 | 18, 31.788800 | 9.000000 | [1, 8, 6]
 2 | 2, 5.411474 | 18, 48.703267 | 9.000000 | [2, 7, 3]
 3 | 2, 4.758770 | 6, 14.276311 | 3.000000 | [3, 6, 0]
 4 | 2, 1.879385 | 18, 16.914467 | 9.000000 | [4, 5, 6]
factors in order of increasing preclosed length: [9, 9, 3, 9]
middle lines (start at the midpoint, fraction 0.5): preclosed bounces / closed bounces / ratio
   j=1: 1 / 9 / 9.0000
   j=2: 1 / 9 / 9.0000
   j=3: 1 / 3 / 3.0000
   j=4: 1 / 9 / 9.0000
