5.3.4 Quartic

The corresponding object of degree 4 is the quartic object, with syntax

QUARTIC:
  quartic { < QUARTIC_COEFFICIENTS > [POLY_MODIFIERS] }

QUARTIC_COEFFICIENTS:
  35 FLOATs separated by commas.

See also:

• [pov:6.5.3.2]Poly, Cubic and Quartic

For the order of the coefficients see POLY below. An example of such a quartic is the equation for the torus (obtained by isolating in the formula for the torus above the term $2R\sqrt{X^2+Z^2}$ on one side and taking the square of both sides):

$$4(X^2+Z^2)R^2 = (X^2+Z^2+Y^2-r^2)^2.$$