![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Archimedean_spiral.svg/640px-Archimedean_spiral.svg.png&w=640&q=50)
Archimedean spiral
Spiral with constant distance from itself / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about archimedean spiral?
Summarize this article for a 10 year old
The Archimedean spiral (also known as Archimedes' spiral, the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes. The term Archimedean spiral is sometimes used to refer to the more general class of spirals of this type (see below), in contrast to Archimedes' spiral (the specific arithmetic spiral of Archimedes). It is the locus corresponding to the locations over time of a point moving away from a fixed point with a constant speed along a line that rotates with constant angular velocity. Equivalently, in polar coordinates (r, θ) it can be described by the equation
with real number b. Changing the parameter b controls the distance between loops.
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Archimedean_spiral.svg/640px-Archimedean_spiral.svg.png)
From the above equation, it can thus be stated: position of the particle from point of start is proportional to angle θ as time elapses.
Archimedes described such a spiral in his book On Spirals. Conon of Samos was a friend of his and Pappus states that this spiral was discovered by Conon.[1]