Cayley's sextic


last updated: 2004-12-04

Cayley´s sextic 1) has been studied for the first time by MacLaurin (1718). Later Arthur (1821-1895) took a closer look to the curve. Archibald named the curve after Cayley in a paper classifying some curves, a paper that was published in 1900 in Strasbourg.
We call the origin in the curve's polar equation the focus of the curve.

This sextic curve is also a sinusoidal spiral.

The Cartesian equation is as follows:

Some relationships with other curves:


In Italian: sestica di Cayley