What are ellipsoid figures?

Ellipsoid figures are geometric shapes that resemble elongated spheres, defined mathematically as the set of points in three-dimensional space where the sum of the distances from two focal points is constant. They are characterized by three axes of different lengths, referred to as the semi-principal axes. Commonly used in fields such as astronomy, physics, and engineering, ellipsoids can represent planets, spatial distributions, and various physical phenomena. Additionally, they can be classified into prolate (elongated along one axis) and oblate (flattened at the poles) forms.