A tracer and its scaled partner

Move the tracer T while its partner P follows P = kT about the fixed origin O at (0, 0). Every plotted point has a visible coordinate.

Scale factor k: 2.0

Tracer horizontal coordinate x: 2.0

Tracer vertical coordinate y: 1.0

Show a three-point source path and scaled copy

Purple: source/tracer. Teal: copy. At k = 1 the points and paths coincide.

Point	Source (x, y)	Copy (kx, ky)

Ideal geometry and limits

Distances from O and between path points scale by k. In this model the origin is fixed at zero; with another origin, use P = O + k(T − O). No joint friction, loose pivots, reachable workspace, pencil pressure, bar lengths, or physical interference is simulated.

Explore more ideas at Incoprea.