1.625 : 1the trackpad's real aspect ratio, which the maths uses
12°of hand rotation per app, the same in every look
~9,600frames of recorded real gestures the thresholds stand on
0permissions needed to read touches
120 Hzhow often the wheel redraws
50–72°measured range of the thumb-pivot gesture
3–7positions on the wheel
4looks for the dialer
The trackpad is not a square.
The trackpad measures 156 × 96 mm, but the coordinates it reports run 0–1 on
both axes. Computing the angle from those would mean the same turn of the hand
moves the selection by one app at one wrist angle and by three at another — an
error of up to 11 degrees. Mac Control Wheel converts the touches to
millimetres first and computes the angle only then. It reads the sensor's size
from the device, so this holds for an external Magic Trackpad too.
Thresholds from recordings, not from feel.
Rotations, swipes, pinches, scrolling and dragging are recorded as a corpus of
frames and replayed through the recognizer as tests. The ranges come from
there: a real rotation slides the hand across the pad by at most 1.5 mm, the
lightest swipe by 2.2 mm. The threshold sits in that gap, not in the middle of
guesswork.
Fixed positions instead of most-recently-used.
The list of apps does not reshuffle between invocations. If the order changed,
so would the movement needed to reach a given app — and the muscle memory the
whole wheel exists for would have nothing to stand on.