The "star property" refers to a specific type of mathematical object in the field of geometry. It is characterized by having a central point from which all other points are equidistant, forming a star-like shape. This property is often explored in the study of polygons and polyhedra, where the arrangement of vertices creates a star configuration. In a broader context, star properties can also be observed in graph theory, where a star graph consists of one central vertex connected to several outer vertices. This structure is useful in various applications, including network design and data organization, highlighting the importance of central connections in complex systems.