MATLAB Function Reference |

Generate `X`

and `Y`

matrices for three-dimensional plots

**Syntax**

**Description**

```
[X,Y] = meshgrid(x,y)
```

transforms the domain specified by vectors `x`

and `y`

into arrays `X`

and `Y`

, which can be used to evaluate functions of two variables and three-dimensional mesh/surface plots. The rows of the output array `X`

are copies of the vector `x`

; columns of the output array `Y`

are copies of the vector `y`

.

```
[X,Y] = meshgrid(x)
```

is the same as `[X,Y] = meshgrid(x,x)`

.

```
[X,Y,Z] = meshgrid(x,y,z)
```

produces three-dimensional arrays used to evaluate functions of three variables and three-dimensional volumetric plots.

**Remarks**

The `meshgrid`

function is similar to `ndgrid`

except that the order of the first two input and output arguments is switched. That is, the statement

Because of this, `meshgrid`

is better suited to problems in two- or three-dimensional Cartesian space, while `ndgrid`

is better suited to multidimensional problems that aren't spatially based.

`meshgrid`

is limited to two- or three-dimensional Cartesian space.

**Examples**

[X,Y] = meshgrid(1:3,10:14) X = 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 Y = 10 10 10 11 11 11 12 12 12 13 13 13 14 14 14

The following example shows how to use meshgrid to create a surface plot of a function.

**See Also **

`griddata`

, `mesh`

, `ndgrid`

, `slice`

, `surf`

mesh, meshc, meshz | methods |

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