New Polygonal Numbers Identity by using Animation Proof Technique

Abstract

Polygonal numbers are a special set of numbers that arise in geometry, specifically in the study of polygon shapes. These numbers have a rich history in mathematics and continue to be an area of active research and investigation in various mathematical disciplines. In this study, a brief introduction to the two-dimensional figurated numbers known as polygonal numbers is provided. Then a new polygonal numbers theorem about them is proved by using animation proof technique.