Each coordinate of a closed outline has its own real Fourier series: x(t) = ∑ (aₖ cos kt + bₖ sin kt), and the same for y.
A cosine and sine of frequency k make one arm of length √(aₖ² + bₖ²) turning k times per lap. One chain sets x, one sets y, and the pen sits where their guides cross. With N harmonics per axis the knight is off by 30.2 % of its height at N = 1, 0.70 % at N = 50.
At N = 1 both coordinates are pure sinusoids: an ellipse.
Another ocean update from emiljecreates! The foam now reaches much farther out without losing detail up close. 🌊 How does it look?
More: https://t.co/uLor94kXOd
Into Godot shaders and VFX? This might help
https://t.co/vwMxGGQpf5
#godot#vfx#gamedev#indiedev
For context this was the video
MIND you now that it’s morning and I’ve seen it several times over I’m already desensitized, but keep in mind-
1. It was 2AM and pitch dark in my room
2. I FINALLY got done w hours of schoolwork and my brains fried
3. I HATE this type of horror