The Archimedean spiral (also known as the arithmetic spiral) is a spiral named after the 3rd century BC Greek mathematician Archimedes. It is the locus of points corresponding to the locations over time of a point moving away from a fixed point with a constant speed along a line which rotates with constant angular velocity. Equivalently, in polar coordinates (r, θ) it can be described by the equation
with real numbers a and b. Changing the parameter a will turn the spiral, while b controls the distance between successive turnings.
Archimedes described such a spiral in his book On Spirals.
Read more about Archimedean Spiral: Characteristics, General Archimedean Spiral, Applications
Famous quotes containing the word spiral:
“Year after year beheld the silent toil
That spread his lustrous coil;
Still as the spiral grew,
He left the past year’s dwelling for the new,
Stole with soft step its shining archway through,
Built up its idle door,
Stretched in his last-found home, and knew the old no more.”
—Oliver Wendell Holmes, Sr. (1809–1894)