The logarithmic type of this   is equiangular and, like fractals, is self-similar.
The ancient Greeks figured out how to square a circle and trisect an angle by drawing one of these   figures. One of these shapes on the surface of a sphere is named for Seiffert, and plotting sine integrals  versus cosine integrals generates one of these shapes named for Nielsen. The logarithmic type of this   is equiangular and, like fractals, is self-similar. The class of these shapes that can be expressed by the  equation 𝑟 = 𝑎 \+ 𝑏 𝜃 ["𝑟  equals 𝑎  plus 𝑏  theta"] is named for Archimedes [ar-kuh-MEE-dees]. Name  these curves generated by a point that consistently increases or decreases its distance from the center  as the point rotates around the center.
The ancient Greeks figured out how to square a circle and trisect an angle by drawing one of these   figures.
spirals