OBSERVATION 002
花
Hana — Flower
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 signal to open travels from the centre outward.
The further out the petal, the later it moves, and the deeper it lies back.
There are forty-eight petals.
They overlap evenly from every angle
because they are set at the same angle as leaves on a stem.
No petal is flat. Each is warped into a bowl.
Flatten them and it stops being a flower and becomes paper craft.
Read and verify the equation
(i, t,
j = i % 48, p = (i / 48 | 0),
u = p * .618034 % 1, v = (p * .754878 % 1) * 2 - 1,
g = j / 48, h = j * 2.39996 + t * .5,
B = 6 + 30 * g, L = 30 + 84 * g,
R = B + L * u,
W = L * .55 * sin(PI * u ** .8) ** .7,
A = 1.3 - 2.1 * g + .28 * sin(t * 2 - g * 5),
x = R * cos(h) - v * W * sin(h),
z = R * sin(h) + v * W * cos(h),
y = L * (A * u - .5 * u ** 3) + .4 * W * v * v,
Q = [200 + x * .88, 198 + z * .76 - y * .4],
Dx = 200 + 55 * sin(t + 2.4) + 22 * sin(t * 2 + 4.08),
Dy = 200 + 58 * cos(t + 3.12) + 16 * sin(t * 3 + 2.4)
) => [Dx + (Q[0] - 200) * .68, Dy + (Q[1] - 200) * .68]
Fingerprint of this equation
sha256:aa3c4294ac1389a33c03d603a4f32485052d0cafd700e04dd74a199b35baa76b
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 →