What's the difference between shape and morphology? how would you uniquely measure the shape of an object?

Question

For example, how would you measure the shape of square and a square with a pieace of corner missing, so that you can distinguish any shape from another?

Answer 1

Fractals are a good way to quantitatively to distinguish differences in shapes. Fractals are often used to build computer-generated graphics for background scenes in videos. In two dimensions, a fractal is the ratio of the perimeter to the area, and in three dimensions, it is the ratio of the surface area to the volume. These simple ratios can be used to mathematically describe or even build nearly all complex shapes.

Answer 2

WALKING AROUND IT MIGHT WORK.