Interactive Spirograph

create an interactive spirograph to explain how it works

Worked for 1m 12s ›

Drag the radii and pen distance to see how the rolling circle turns into the traced curve.

curve closes after 12 turnsratio 93:36

Fixed ring radius 93

Rolling circle radius 36

Pen distance from center 88

Animation speed 79%

Pen point: x=(R−r)cos(t)+d cos((R−r)/r)t, y=(R−r)sin(t)−d sin((R−r)/r)t.

traced pen pathfixed ringrolling circle

▱♧♧↗4:39 PM