x = q × sin(c) × scale + centerX
y = (q + 19×d) × cos(c) × scale + centerY
z = (q − 19×d) × sin(c + π/3)
Ten thousand points, each one solved from the same three lines. Nothing is stored between frames — the whole specimen is re-derived from t sixty times a second.
It is all waves. Every one of those points is a sine or a cosine of an angle that keeps turning — the same shadow of a point going round a circle that you can watch on the Sine wave page. The creature is ten thousand of them, added up.
Nine controls, all of which visibly change the culture.
Take hold of a knob and turn it — it follows your hand across the 270° the ticks describe. Scroll wheel and arrow keys step it, double-click returns it to default, and shift while turning is fine control.