## Make Parametric Grid (vuo.point.make.parametric.grid)

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

The math expressions can use the variables *u* and *v*. This node calculates each expression for evenly spaced values of *u* and *v* ranging from 0 to 1. 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.
`Rows`

, `Columns`

— Each of the above expressions is calculated for this many values of *u* and *v*. The total number of points created is `rows x columns`

.

The math expressions can use numbers, operators such as *+* and *-*, functions such as *sin(u)* and *log(u)*, and the constant *PI*. For a complete list of the operators and functions available, see the `Calculate`

(`vuo.math.calculate`

) node’s description.

For help understanding the math used by this node, see Introduction to parametric equations and Introduction to parametrizing a surface with two parameters.

**Keywords**: *expression*, *math*, *shape*

### Example compositions:

- Make Terrain: Calculates and displays a 3D terrain using simple trigonometric expressions.

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