Duffy's Square

Duffy's Square is a mathematical concept describing a set of points in the plane that are equidistant from a fixed point called the focus and a fixed line known as the directrix. This set of points forms a parabola, a curve that opens outward from the focus. The parabola's shape is determined by the distance between the focus and the directrix. It has applications in physics, such as in the design of satellite dishes and headlights, because it reflects signals or light to a single point, making it a fundamental shape in both mathematics and engineering.