Winding numbers using a Cauchy integral, with WebGL

Winding numbers using a Cauchy integral, with WebGL This is what the winding number n(γ,a) of curve γ around point a, expressed as special case of Cauchy’s integral formula looks like on potentially non-closed loops, with complex numbers mapped to a hue-luminance space.
$$ n(\gamma ,a) = \frac{1}{2 \pi i}\int_{\gamma}^{}\frac{1}{z-a}dz $$
Demo (drag your mouse/thumb across the red canvas)
Reset Shuffle Circle Square Levy Dragon + - This animation requires WebGL

2022/09/06 ·
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