OBSERVATION 019
さきの谷
Saki no Tani — The valley beyond
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.
There are two places to be.
At the start they are all in one; at the end they are all in the other.
Crossing over, the crowd narrows.
They cannot cross while staying spread out.
Some leave first; some do not move until the end.
That difference becomes a band.
Over one turn, the two places rotate half a turn and change places.
So the place they arrive at, at the end, is the place they were standing at the start.
Once you arrive, that is where you came from.
Only while it was far off was it far off.
Read and verify the equation
(i, t,
j = i % 150, k = (i / 150 | 0) / 267,
T = (t / (TAU * 2)) % 1, y = PI * T,
Ax = 200 + 110 * cos(y), Ay = 200 + 110 * sin(y),
Bx = 400 - Ax, By = 400 - Ay,
b = .08 + .78 * (j * .618034 % 1),
z = min(1, max(0, (T - b) / .06)), m = z * z * (3 - 2 * z),
a = k * TAU + j * 2.39996 + t * 1.5,
rr = (40 + 22 * (k * 7 * .754878 % 1)) * (1 - .62 * 4 * m * (1 - m))
) => [Ax + (Bx - Ax) * m + rr * cos(a),
Ay + (By - Ay) * m + rr * sin(a)]
Fingerprint of this equation
sha256:67090aa4e45b6aaaaa644caeb803d0922b9b9cf92f842df6513440c0798a91b7
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 →