OBSERVATION 046

ひらき

Hiraki — Opening

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
The Nameless
Year
2026
Medium
Equation, run live in the browser
Points
40,000
Cycle
10s per turn
Fingerprint
sha256 5d98da98…e101

An empty place opens in the middle.

As the ring shrinks, inner points overlap and cover the hole.
As it expands, a dark opening appears again.
Not one point is drawing that darkness.

At six hundred and twenty-five points, gaps open beyond the hole as well.
At one, the middle and its surroundings are the same black.

Where did the hole go?

Read and verify the equation
(i, t,
        q = t * .5, a = (i * .61803398875 % 1) * TAU + q,
        b = (i * .75487766625 % 1) * TAU,
        R = 48 * (1 + cos(q)), r = R + 36 * cos(b),
        x = r * cos(a), y = r * sin(a), z = 48 * sin(b),
        c = .48 + .25 * sin(q), Y = y * cos(c) - z * sin(c)
       ) => [200 + x, 200 + Y]

Fingerprint of this equation

sha256:5d98da987872b91ff51854b1cf66b9782eda4cfc04b9e89778df72bddc12e101

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 →