arcs of Samothrace

sextic

last updated: 2003-08-01

It's a rather rare curve to find in math.
Its form is a bit alike a hyperbola, but it is not one.

And it is a sextic curve, with Cartesian equation:

x2 (3x2-y2)2 = y2 (x2+y2)

The curve can be extended to the generalized arcs of Samothrace.