as far as i can tell:
the starting direction indictates a single line in said direction
the following characters correspond to the single-line-long turns+strokes that said line takes:
"a" and "d" correspond to hard left and hard right - if 0 degrees is straight forward, these would be 135 degrees left or right. ||or something like that idk||
"q" and "e" correspond to soft left and soft right - if 0 degrees is straight forward, these would be 45 degrees left or right. ||or something like that idk||
"w" corresponds to going straight
examples:
compass purification is a triangle. you could draw it with the following:
"a line going southwest which takes two sharp left turns" -> "SOUTH_WEST aa"
mind's reflection
"a line going northeast which takes a soft left turn, then a sharp left turn, then a soft left turn" -> "NORTH_EAST qaq"
numerical reflection: 4 (achieved via going straight twice, then taking a sharp left to double it)
"a line going southeast which takes a sharp left turn, then a soft left turn, then a sharp left turn, another sharp left turn, goes straight twice, then takes a sharp left turn" -> "SOUTH_EAST aqaawwa"
hermes' gambit
"a line going southeast which takes a sharp right turn, a soft right turn, a sharp left turn, a soft left turn, then another soft left turn" -> "SOUTH_EAST deaqq"