In this work figurate numbers on a plane and figurate numbers in a space were analyzed, as well as new figurate numbers (centered cubic numbers) were made. Common properties and features were revealed and the comparative analysis was made. When considering the structure of Pascal’s triangle, were designed and are constructed trapezes of calculus (polygonal numbers regular polygons, the tetrahedral numbers, pyramidal numbers and two kinds of сentered cubic numbers).


Alena Igorevna Teselkina