In the following picture, the formula for sum of squares of first $n$ natural numbers is derived using a clever construction of 3 triangles. This can be seen as a generalization to the legendary Gauss's trick, or perhaps as an application of group theory techniques. My question is if one can further generalize this idea and use a picture to prove that the sum of the cubes of the first $n$ natural numbers is the square of the sum of the first $n$ natural numbers.
