Polycentagon

Polycentagon is a term used in geometry to describe a polygon with multiple centers. Unlike a regular polygon which has a single center of symmetry, a polycentagon possesses several points from which its vertices are equidistant. The concept is generally applied to star polygons or more complex tessellations rather than simple convex polygons.

The number of centers in a polycentagon is related to its specific construction or definition. For instance, certain types of star polygons, formed by connecting vertices of a regular polygon in a specific pattern, can exhibit multiple centers. The arrangement of these centers and their relationship to the polygon's overall structure are key characteristics.

While the term "polycentagon" is not as universally standardized as terms like "triangle" or "square," it serves as a descriptive label for polygons lacking a single point of symmetry. The study of such figures often delves into abstract geometrical concepts and can be relevant in fields like crystallography or the analysis of specific geometric patterns. Understanding polycentagons requires moving beyond the simple properties of convex polygons and considering more intricate arrangements of vertices and symmetry.