The knot curve is a quartic curve with implicit Cartesian equation
(1)

The  and intercepts are , , and . It has horizontal tangents at and ), and vertical tangents at .
Its curvature is implicitly given by
(2)

The areas enclosed by a side region and by the center region are given by
(3)
 
(4)

giving the entire area as
(5)
 
(6)
