Spirograph

The Spirograph is a highly popular geometric drawing toy that uses interlocking plastic gears and rings to create intricate, mathematical roulette curves. Developed by British engineer Denys Fisher and introduced in 1965, the toy blends principles of mathematics, art, and mechanical motion. How It Works

The standard drawing kit relies on a simple mechanical system:

The Stator: A stationary outer ring or track lined with gear teeth on the inside or outside. In modern sets, this ring is pinned down or anchored using special putty.

The Rotor: Smaller gear wheels of varying sizes and shapes (such as circles, triangles, or bars) that fit inside or roll along the outside of the stator.

The Pen Holes: Each rotor contains small, off-center holes. By placing the point of a pen into a hole and rolling the gear smoothly along the track, the pen traces out continuous, repeating loops.

Because the number of teeth on the wheel and the ring are finite whole numbers, the pattern will eventually cycle through and perfectly join back onto its starting point. The Mathematics Behind the Art

The captivating, symmetrical designs produced by a Spirograph are not random; they are complex mathematical curves known as trochoids: The Mathematics of Spirograph | The Aperiodical