OBSERVATION 006
繭
Mayu — Cocoon
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.
Sixty-four circles, each tilted a little further than the last.
One of them is only a circle.
That alone makes a sphere.
The radius breathes slowly, but the number of circles and their tilts do not change.
What swells is not the sphere. It is the circles.
Each breathes on its own beat, so the layers slide past one another inside.
There are points that shine.
They are not shining. They are where circle crosses circle.
Any two great circles on a sphere must meet at two points.
That light cannot be avoided.
Read and verify the equation
(i, t,
j = i % 64, p = (i / 64 | 0) / 625,
a = p * TAU, c = (j * .618034 % 1) * PI, h = j * 2.39996 + t * .5,
R = 132 + 7 * sin(t * 2 + j),
x = cos(a), y = sin(a) * cos(c), z = sin(a) * sin(c),
Q = [200 + R * (x * cos(h) + z * sin(h)),
200 + R * y * .98 + R * (z * cos(h) - x * sin(h)) * .12],
Dx = 200 + 73 * sin(t + 0.92) + 22 * sin(t * 2 + 1.56),
Dy = 200 + 42 * cos(t + 1.2) + 16 * sin(t * 3 + 0.92)
) => [Dx + (Q[0] - 200) * .68, Dy + (Q[1] - 200) * .68]
Fingerprint of this equation
sha256:f58c2b9982a9998c8542071215315f78eb856512e0daa6f2eef7bd2425f27ae8
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 →