Drag z and see i·z, i²·z and i³·z fan out at quarter turns; readouts show the swapped, sign-flipped coordinates.
The claim above is what this widget demonstrates. Disagree with it?
Multiplying z by i rotates it a quarter turn counter-clockwise, swapping its coordinates and negating the new real part, so i²z = −z.
Builds on A complex number is a point. Taught in Complex numbers.
Drag z and see i·z, i²·z and i³·z fan out at quarter turns; readouts show the swapped, sign-flipped coordinates.
The claim above is what this widget demonstrates. Disagree with it?