# How to make 2d complex number array in numpy?

## Question:

I would like to make a 2d array of even distribution of complex numbers, a part of complex plane, for example (-1, 1i), (-1, -1i), (1, 1i), (1, -1i) with 20 numbers in each dimension.

I know I can do this for complex numbers in 1 d with `np.linspace`

like this:

```
import numpy as np
complex_array = np.linspace(0, complex(1, 1), num = 11)
print(complex_array)
[0. +0.j, 0.1+0.1j, 0.2+0.2j, 0.3+0.3j, 0.4+0.4j,
0.5+0.5j, 0.6+0.6j, 0.7+0.7j, 0.8+0.8j, 0.9+0.9j, 1. +1.j ]
```

But I can’t get my head around how to produce this in two dimensions to get a part of a complex plane?

Some somewhat similar questions mention `np.mgrid`

, but the examples are with reals and I would like the array to contain `dtype=complex`

so my math keeps simple.

Maybe I am just missing something, and perhaps just a simple example would explain a lot..

## Answers:

You can use **broadcasting** to do that. For example:

```
result = np.linspace(0, 1j, num = 11).reshape(-1, 1) + np.linspace(0, 1, num = 11)
```

Using `meshgrid`

also works but it is likely slower:

```
a, b = np.meshgrid(np.linspace(0, 1, num = 11), np.linspace(0, 1j, num = 11))
result = a + b
```

There is no magic about complex numbers – they are simply a way to express a two dimensional space. You could use `np.meshgrid`

(see here) to define a two dimensional Cartesian grid and then combine the coordinates into complex numbers.

Create vectors which will span the two dimensional grid (or complex plane)

```
real_points = np.linspace(0,1,num=11)
imag_points = np.linspace(0,1,num=11)
```

Create 2-D coordinate arrays

```
real_grid, imag_grid = np.meshgrid(real_points, imag_points)
```

Combine into complex array:

```
complex_array = real_grid + imag_grid * 1j
```

This produces a 11×11 `complex128`

array.