OBSERVATION 018
かなめ
Kaname — Pivot
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 eighty-one worlds.
Going inward, the fine differences vanish first.
The coarse ones last to the end.
The innermost is left empty.
The three arms approach it without meeting.
What might an undrawn centre hold?
Following the arms inward, I find myself looking at that space.
Read and verify the equation
(i, t,
j = i % 81, u = (i / 81 | 0) / 494,
d0 = j % 3 - 1, d1 = (j / 3 | 0) % 3 - 1,
d2 = (j / 9 | 0) % 3 - 1, d3 = (j / 27 | 0) % 3 - 1,
T = t * .5,
w0 = 1 / (1 + exp((u - .22 - .05 * sin(T)) * 34)),
w1 = 1 / (1 + exp((u - .44 - .05 * sin(T + 2)) * 34)),
w2 = 1 / (1 + exp((u - .66 - .05 * sin(T + 4)) * 34)),
w3 = 1 / (1 + exp((u - .96 - .05 * sin(T + 6)) * 34)),
h = d3 * (TAU / 3) * w3 + d2 * (TAU / 9) * w2
+ d1 * (TAU / 27) * w1 + d0 * (TAU / 81) * w0 + T,
r = 46 + 140 * (1 - u)
) => [200 + r * cos(h), 200 + r * sin(h)]
Fingerprint of this equation
sha256:c7ad0441f2a1e6f1a3595fe439d29c05e14bc7b3ddb1ad3d0f8683b3a7bd4e8a
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 →