Reduced Cartesian equation: . Polynomial cubic with a cuspidal point (at infinity in the direction Oy).

The cubical parabolas are representations of the polynomial functions of degree 3.
Because of their inflection point, they are used to trace railway junctions, under the name of Nördling parabola (see radioid with curvature proportional to the curvilinear abscissa, and this article).
 
 

next curve

previous curve

2D curves

3D curves

surfaces

fractals

polyhedra

© Robert FERRÉOL  2017