# Magic polygon

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A magic polygon is a polygonal magic graph with integers on its vertices.

## Perimeter magic polygon

A magic polygon also called a perimeter magic polygon   is a polygon with an integers on its sides that all add up to a magic sum.   It is where positive integers (from 1 to N) on a k-sided polygon add up to a constant, or magic sum.  Magic polygons are the generalization of other magic shapes  such as magic triangles. This displays order 3 magic triangles, a type of magic polygon.

## Magic polygon with a center point

Victoria Jakicic and Rachelle Bouchat defined the magic polygon as an n-sidef regular polygons with 2n+1 nodes that the sum of the three nodes are equal. In their definition, 3×3 magic square can be viewed as a magic 4-gon. There are no magic odd-gon in this definition. 

## Magic polygons and degenerated magic polygons

Danielle Dias Augustoa and Josimar da Silva defined the magic polygon P(n,k) as a set of vertices of $k/2$ concentric n-gon and a center point. 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 

## Related Research Articles

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