Sort a few million blind, self-trapping walks by temperament rather than by number, and a small menagerie appears. Each kept path is placed into one species from the shape of its life — how far it pushed, how straight it ran, how tightly it coiled, whether it circled home before dying. What follows is one representative specimen of each, drawn from its real trace, with a note on how it compares to the library at large.
66.7%
A legend of 3,121 steps that leaned north, reached radius 450.1, cleared the 300-ring in 2,029 steps, and spent 7.04 steps for every cell of net progress.
16.3%
A marathoner of 3,063 steps that leaned north-east, reached radius 114.4, and spent 42.01 steps for every cell of net progress.
14.3%
A voyager of 2,563 steps that leaned north, reached radius 302.9, cleared the 300-ring in 1,247 steps, and spent 17.88 steps for every cell of net progress.
2.1%
A voyager of 1,959 steps that leaned east, reached radius 417.5, cleared the 300-ring in 1,267 steps, and spent 5.07 steps for every cell of net progress.
0.6%
A marathoner of 3,074 steps that leaned south, reached radius 128.8, and spent 36.51 steps for every cell of net progress.
0.1%
A voyager of 1,708 steps that leaned south, reached radius 308.6, sprinted 10 cells in a straight line, cleared the 300-ring in 1,623 steps, and spent 5.59 steps for every cell of net progress.
0.0%
A voyager of 2,267 steps that leaned south, reached radius 341.6, wound about home 2 times, cleared the 300-ring in 1,930 steps, and spent 6.79 steps for every cell of net progress.