Drag z₁ (cyan) and z₂ (yellow) to see complex operations geometrically
Multiply z₁ by:2
Acts on z₁ (the cyan point), wherever it currently is — drag it first if you like. Each press compounds: z₁ becomes the result. ×i rotates 90° anticlockwise, ×−i rotates 90° clockwise, ×−1 rotates 180°, ×k stretches z₁ along its own ray.