Further Mathematics/Complex instrument 06

01/ 07

Möbius transformation laboratory

Factor the map into visible operations

Only the reciprocal step bends a line into a circle.

Follow one boundary and its region through every intermediate variable.

Teacher layers Regions Generated boundaries Corresponding points Operation guides Pole and missing point

Teacher cue

Pause after each operation and classify it: rigid shift, bend by reciprocal, scale, or rigid shift. Then predict the complete image before playing Compose.

Keyboard: arrows change step, space plays or pauses motion, R resets.