OBSERVATION 015

谷

Tani — Valley

Play with it

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.

Chapter
Likeness
Year
2026
Medium
Equation, run live in the browser
Points
40,000
Cycle
10s per turn
Fingerprint
sha256 e6182ef6…42d0

Released from anywhere, they fall to the same ring.

A point started outside and a point started inside arrive at one place.

The falling slows as it closes in.
So the last small distance is where it stays longest.
That is why, from far off, it looks stopped.

The ring is not a point. It has width.
Even inside it, there is still swaying.
The range within which swaying does not take you out is what we call being settled.

Watching the return, I think of anxiety.
What would have to change for another destination to appear?

Read and verify the equation
(i, t,
        j = i % 120, k = (i / 120 | 0) / 333,
        w = (k * .30 + t / (TAU * 2) + (j * .618034 % 1)) % 1,
        R0 = 30 + 168 * (j * .754878 % 1),
        V = 92 + 4 * sin(t),
        r = V + (R0 - V) * exp(-4.6 * w) + 6 * sin(w * TAU * 3 + j),
        a = j * 2.39996 + w * 1.35 + t * .5
       ) => [200 + r * cos(a), 200 + r * sin(a)]

Fingerprint of this equation

sha256:e6182ef61682400ebddfa92a042383a2176805d0834583f0c90f711af08242d0

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 →