Magic Polygons and Degenerated Magic Polygons: Characterization and Properties
Danniel Dias Augusto, Josimar da Silva Rocha
Asian Research Journal of Mathematics · pp. 1–18 · Published 31 Jul 2019
10.9734/arjom/2019/v14i430134Abstract
In this work we define Magic Polygons P(n, k) and Degenerated Magic Polygons D(n, k) and we obtain their main properties, such as the magic sum and the value corresponding to the root vertex. The existence of magic polygons P(n, k) and degenerated magic polygons D(n, k) are discussed for certain values of n and k.
References (10)
- 1 The Evolution of Magic Squares in China [DOI]
- 2 Add-On Security Model for Public-Key Cryptosystem Based on Magic Square Implementation
- 3 Most-perfect Pandiagonal Magic Squares: Their Construction and Enumeration
- 4 Even Order Regular Magic Squares Are Singular [DOI]
- 5 Franklin Squares: A Chapter in the Scientific Studies of Magical Squares [DOI]
- 6 A construction of regular magic squares of odd order [DOI]
- 7 Basic Properties of Pandiagonal Magic Squares [DOI]
- 8 The algebraic theory of diabolic magic squares [DOI]
- 9 An algorithm for constructing magic squares [DOI]
- 10 NEW CONSTRUCTIONS FOR SPECIAL MAGIC SQUARES
Cited by 1
Danniel Dias Augusto · Asian Research Journal of Mathematics · 2022
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