next curve  previous curve  2D curves  3D curves  surfaces  fractals  polyhedra 
BIAXIAL INVERSE OF AN EIGHT
Homemade name. 
Cartesian parametrization:
(), or
.
Cartesian equation:
or .

As indicated by its name, the biaxial inverse of an eight
is the image by the biaxial inversion
of the eight curve :.
We can easily see on the figure the tangents at the inflexion points and at the vertices of the eight, which are invariant under inversion and become the asymptotes of the inverse. 
Compare to the cross
curve, which is the biaxial inverse of a circle.
next curve  previous curve  2D curves  3D curves  surfaces  fractals  polyhedra 
© Robert FERRÉOL
2017