The following demonstrate proofs of various identities and theorems using pictures, inspired from this gallery.
Nichomauss' Theorem: the sum of the first cubes can be written as the square of the sum of the first integers, a statement that can be written as .
Here, we use the same re-arrangement as the first proof on this page (the sum of first odd integers is a square). Here's another re-arrangement to see this:
This also suggests the following alternative proof: