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.
Magic Polygons and Their Properties
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abstract
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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math.CO 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Magic Polygons and Degenerated Magic Polygons: Characterization and Properties
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.