Eight Curve

Introduction

The Eight Curve function is defined by the following pair of parametric equations.

x = a * cos(t) * sqrt( cos(2 * t)) * pow(sec(t), 2); y = a * sin(t) * sqrt( cos(2 * t)) * pow(sec(t), 2);

Graph

Dialog
Formulae
Parameters
Scaling

The graph is shown below.