OBSERVATION 017
めぐり
Meguri — Circuit
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.
The points are only ever on the road.
Eleven petals, traced in one stroke, returning to where it set out.
The centre and each of the tips are bright.
Nothing has pooled there.
Where the road narrows, the same number of points pass through a narrower place.
The time spent is the same everywhere.
Hold the motion and the picture stays where it is.
Reduce it to one point, and the full outline gives way to that point’s trail.
The road is not drawn separately.
It is something we read from the points that pass.
Read and verify the equation
(i, t,
j = i % 88, k = (i / 88 | 0) / 455,
u = (k * .12 + t / (TAU * 2) + (j * .618034 % 1)) % 1,
h = u * PI, R = 168 * cos(11 * h) * (.84 + .16 * sin(2 * h + t)),
d = abs(R) / 168,
W = 13 * sin(PI * d) ** .7 * ((i * .754878 % 1) * 2 - 1),
g = h, c = g + PI / 2
) => [200 + R * cos(g) + W * cos(c), 200 + R * sin(g) + W * sin(c)]
Fingerprint of this equation
sha256:2614d42274a59d47b1aa11ad8790fbf157aee369c53435d03c4d36e317ea8179
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 →