Every angle a fashioned edge can take
The 18 distinct edge angles available to a fashioning machine that can transfer up to 2 wales in a course, on a rule from the wale direction at nought degrees to the course direction at ninety. The angles are arctangents of the fraction times 1.2791, which is the loop's own aspect and a constant of the relaxed structure, so the same list belongs to every plain knit ever made. The widest gap is 16.67 degrees and the steepest available edge is 68.65 degrees, so nothing near a horizontal is reachable.
2 essays call
shaping-curve. The drawing above is what it returns with no arguments at all; every
call below passes it something, because a placement that passes nothing draws whichever
member of the family the generator happens to default to rather than the weave its essay
argues about.
Where it is called
Changing this generator changes every one of these figures.
A fashioned edge has a quantised angle
A knitted panel is shaped by transferring loops, so its edge steps by whole wales at whole courses and its angle is the arctangent of a fraction. The available angles turn out to be the same for every plain knit there has ever been — in any yarn, at any gauge, at any loop length — because the constant they scale by cancels the loop out. There are eighteen of them, and 16.67° between the last two.
A tube can only be shaped by its loop
On a circular machine the needle count is the cylinder, so a seamless tube's circumference is its wale count times its wale spacing — and the wale spacing is the loop length over one constant. The loop is the only free quantity, the yarn bounds it at both ends, and what is left is a taper of 18.8 per cent bought at the price of a fabric half again as dense.