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)
|