@Leonardaisfunny Yup, it's like John Cleese right now... all of a sudden very outspoken against pisslam but he was instrumental in tearing down the bastion that stood against it
The treble clef ๐, its four contours joined by thin bridges and sampled at 4096 points, is a sum of circles: z(t) = โ cโ eโฑแตแต.
With the N largest circles the widest gap to the outline falls from 35.7 % of its height at N = 1 to 0.37 % at 256. The tip's distance |z(t)| is played as pitch, floored to C major.
One circle keeps |z| fixed: one note. With 64 the tip plays the outline's own note 93 % of the lap; with 256, 98 %.
Each coordinate of a closed outline has its own real Fourier series: x(t) = โ (aโ cos kt + bโ sin kt), and the same for y.
A cosine and sine of frequency k make one arm of length โ(aโยฒ + bโยฒ) 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.
@SankaraDispatch and what did they accomplish? sweet fanny fuckall, the crumbs that fell off the table of western society fed them better than they could ever manage themselves.
@IfindRetards Look at Gaza, the Hamas leaders were billionaires living lavish lifestyles in Qatar while stealing the food aid their people received... keeping them in a state of constant anxiety and desperation unable to think. That is what these pigs want, more wealth, less accountability
@kv76082@_Gibsonmel Always forget the inconvenient truth, that all these indigenous people were so violent and tribal they never managed to bootstrap a civilisation.
Dumbass