Spiral

Archimedean arms: radius grows linearly with angle. Turns wind the coil; arms is how many start equally around the origin.

About this pattern

Archimedes, c. 225 BCE

Spiral, archimedean spiral, drawn by GART: Archimedean arms: radius grows linearly with angle. Turns wind the coil; arms is how many start equally around the origin. — Spiral · CC BY 4.0

Archimedean arms: radius grows linearly with angle. Turns wind the coil; arms start equally around the origin. Unrolled, it is a straight climb. Distinct from the Fibonacci square spiral, which lives next door.

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1D fold

Unrolled: radius grows with angle. Wind the line around the origin and the arms appear.

Archimedesc. 287–c. 212 BCE

Archimedean spiral

Greek mathematician whose study of the spiral established a curve whose radius grows at a constant rate with its angle.