Magic polygon

[3][4] It is where positive integers (from 1 to N) on a k-sided polygon add up to a constant.

[6] Victoria Jakicic and Rachelle Bouchat defined magic polygons as n-sided regular polygons with 2n+1 nodes such that the sum of the three nodes are equal.

[7] Danniel Dias Augusto and Josimar da Silva defined the magic polygon P(n,k) as a set of vertices of

In this definition, magic polygons of Victoria Jakicic and Rachelle Bouchat can be viewed as P(n,2) magic polygons.

They also defined degenerated magic polygons.