Fermat's spiral

A Fermat's spiral or parabolic spiral is a plane curve named after Pierre de Fermat. Its polar coordinate representation is given by which describes a parabola with horizontal axis. Fermat's spiral is similar to the Archimedean spiral. But an Archimedean spiral has always the same distance between neighboring arcs, which is not true for Fermat's spiral. Like other spirals Fermat's spiral is used for curvature continuous blending of curves.

Fermat's spiral

A Fermat's spiral or parabolic spiral is a plane curve named after Pierre de Fermat. Its polar coordinate representation is given by which describes a parabola with horizontal axis. Fermat's spiral is similar to the Archimedean spiral. But an Archimedean spiral has always the same distance between neighboring arcs, which is not true for Fermat's spiral. Like other spirals Fermat's spiral is used for curvature continuous blending of curves.