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arxiv: 1801.02262 · v1 · pith:2WDANYBOnew · submitted 2018-01-07 · 🧮 math.CO

Magic Polygons and Their Properties

Victoria Jakicic , Rachelle Bouchat This is my paper
classification 🧮 math.CO
keywords magicpolygonspropertiessquarealongarrangementsarrayscolumn
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Magic squares are arrangements of natural numbers into square arrays, where the sum of each row, each column, and both diagonals is the same. In this paper, the concept of a magic square with 3 rows and 3 columns is generalized to define magic polygons. Furthermore, this paper will examine the existence of magic polygons, along with several other properties inherent to magic polygons.

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  1. Magic Polygons and Degenerated Magic Polygons: Characterization and Properties

    math.CO 2019-06 unverdicted novelty 4.0

    Defines and characterizes magic polygons P(n,k) and degenerated D(n,k) with formulas for magic sum and root vertex, plus existence conditions for various n and k.