Relative to a continuation of the walk in the same direction as the previous segment,
the direction of the next step in an "n - Walk" is drawn with equal probability from the angles in the following table.
For n = 3, 4, and 6 this is equivalent to the usual lattice walks.
Instead of the rounded numbers, the exact directions are taken as multiples of Pi/n.
Turning angles (Degrees) | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
n | |||||||||||
3 | -60 | 60 | |||||||||
4 | -90 | 0 | 90 | ||||||||
5 | -108 | -36 | 36 | 108 | |||||||
6 | -120 | -60 | 0 | 60 | 120 | ||||||
7 | -128.57 | -77.14 | -25.71 | 25.71 | 77.14 | 128.5 | 7|||||
8 | -135 | -90 | -45 | 0 | 45 | 90 | 135 | ||||
9 | -140 | -100 | -60 | -20 | 20 | 60 | 100 | 140 | |||
10 | -144 | -108 | -72 | -36 | 0 | 36 | 72 | 108 | 144 | ||
11 | -147.27 | -114.55 | -81.82 | -49.09 | -16.36 | 16.36 | 49.09 | 81.82 | 114.55 | 147.27 | |
12 | -150 | -120 | -90 | -60 | -30 | 0 | 30 | 60 | 90 | 120 | 150 |