# How does list_plot3d interpret nxn matrices?

From the documentation of `list_plot3d`

INPUT:

v - something that defines a set of points in 3 space, for example:

- a matrix
- a list of 3-tuples
- a list of lists (all of the same length) - this is treated the same as a matrix.

Intuitively I would guess that the function would only accept $3 \times n$ matrices and/or their transposes, but the first example on the document page is a plot of a five by five matrix

```
n = 5
m = matrix(RDF, n, [(i+j)%n for i in [1..n] for j in [1..n]])
p = list_plot3d(m)
p
```

**Question**: How does `list_plot3d`

interpret this $5 \times 5$ matrix as a set of points in 3-space?

One might suspect that `list_plot3d`

handles matrices the same was as, for example, `point3d`

but this is not the case. For example, the points visualized by `point3d`

do not lie on the surface given by `list_plot3d`

in the above example as witnessed by

```
p + point3d(m, size=33)
```