Make Parametric Points (vuo.point.make.parametric)

Creates points that form a shape defined by parametric math expressions.

The math expressions can use the variable U. This node calculates each expression for evenly spaced values of U. Each calculation becomes one of the resulting points.

• Time — The time at which to calculate the expressions. (This only affects the output if the Time variable is used in the expressions.)
• X Expression, Y Expression, Z Expression — The math expressions for the (X,Y,Z) position of each point.
• Subdivisions — Each of the above expressions is calculated for this many values of U. This is the total number of points created.

The math expressions can use:

• Numbers
• Operators such as + and -
• Functions such as sin(U) and log(U)
• Constants such as PI
• Variable U — evenly spaced values ranging from U Min to U Max
• Variable I — the integer index of the point, ranging from 1 to Subdivisions

For a complete list of the operators and functions available, see the Calculate node’s description.

For help understanding the math used by this node, see Introduction to parametric equations.

Keywords: expression, list, math, shape

Example compositions:

• Make Spiral: Animates a spiral using simple trigonometric expressions.
• Audio/ Generate Parametric Audio