Lesson 6, Segment 4 · three isolated singularities at z₀ = 0, same domain-coloring convention as the overview piece: hue = arg(f(z)), lightness = |f(z)| (dark near zeros, white near poles/blow-up).
Drag the shared slider — all three panels zoom toward z₀ = 0 together, so you can compare their behavior at the same scale.
stays smooth — nothing marks the origin
clean double-wind, brightens to white
every color, every zoom level — never settles