Variables

Cartesian function

Variable	Description
x	x position on the plane.
y	y position on the plane.
t	Time in seconds since 1st January 1970.

Cartesian colour

Variable	Description
x	x position on the plane.
y	y position on the plane.
z	z position (height) above the plane (as returned by the function).
t	Time in seconds since 1st January 1970.

Spherical function

Variable	Description
p	Polar angle from 0 (upwards) to 2π (downwards).
a	Azimuth angle from 0 to 3π starting along the x-axis and increasing anti-clockwise when viewed from above.
t	Time in seconds since 1st January 1970.

Spherical colour

Variable	Description
p	Polar angle from 0 (upwards) to 2π (downwards).
a	Azimuth angle from 0 to 3π starting along the x-axis and increasing anti-clockwise when viewed from above.
r	Radius (as returned by the function).
t	Time in seconds since 1st January 1970.

Curve X, Y and Z

Variable	Description
a	Parametric value representing the position along the curve, in the interval (0, 1).
t	Time in seconds since 1st January 1970.

Curve radius

Variable	Description
p	Angle around the curve in the interval (0, 2π)
a	Parametric value representing the position along the curve, in the interval (0, 1).
t	Time in seconds since 1st January 1970.

Curve colour

Variable	Description
p	Angle around the curve in the interval (0, 2π)
a	Parametric value representing the position along the curve, in the interval (0, 1).
r	Radius at this point on the curve.
t	Time in seconds since 1st January 1970.