What is pythagoras spiral?

Pythagoras spiral is a mathematical concept that derives from the Pythagorean theorem. It is a self-similar spiral that is formed by drawing connected squares with equal sides off the edges of the previous square. As the squares get larger, the vertices of the squares trace out a smooth curve that forms a spiral. The angle between successive squares decreases as the spiral advances, such that the squares become increasingly elongated in the direction of the spiral. The resulting curve has a wide range of appearances that depend on the ratio of the size of the squares to the space between them. Pythagoras spiral is often used in art and architecture, for example, in designing the shape of some spiral staircases.