Mathematical Curves

The Cartesian equation of Bicorn is

y²(a² ⎼ x²) = (x² + 2ay ⎼ a)²

Parametric equations are

• x(t) = a sint
• y(t) = [a cos²t (2 + cost)]/(3 + sin²t)

Notable Facts:

• (a) The curve has two (bi) horns (corn).
• (b) An alternative name is the cocked-hat.