OBSERVATION 042
ひだ
Hida — Folds
Press the picture or the button to reduce the points.40,000 → 625 → 40 → 1, then back to 40,000.
At fewer points, dots grow and trails linger to help you follow their paths.
“Listen” maps the displayed points to sound.Changing the count rebuilds the sound.
A ring has folds.
From the front, it looks like one sheet.
As it turns, hidden ridges and valleys appear.
Depth changes the outline we see.
At six hundred and twenty-five points, gaps open in the surface.
At forty, paths across the folds begin to show.
A single point has no fold.
What was it that was folded?
Read and verify the equation
(i, t,
q = t * .5, a = (i * .61803398875 % 1) * TAU + q,
v = (i * .75487766625 % 1) * 2 - 1,
r = 83 + 40 * v,
x = r * cos(a), y = r * sin(a),
z = 27 * sin(5 * a - 2 * q) * (1 - .6 * v * v) + 15 * v * sin(3 * a + q),
c = q + .3, X = x * cos(c) + z * sin(c), Z = z * cos(c) - x * sin(c)
) => [200 + X, 200 + y * .72 - Z * .69]
Fingerprint of this equation
sha256:1cffd5d7e56eb1e05896a879b952f19c66148d29d95931388c15478756d510a5
The same point number and time give the same coordinates.
Trails and the appearance of points depend on rendering settings and the device.
The button above takes the equation out as it is. To count it again yourself:
pbpaste > f.txt && printf %s "$(cat f.txt)" | shasum -a 256
Take it and run it.What appears when you change the equation? Run and rewrite this equation →