Title

Magic Polygons and Their Properties

Author(s)

Victoria Jakicic, University of Dayton
Rachelle Bouchat, University of Dayton

Document Type

Article

Publication Date

1-1-2018

Publication Source

Proceedings of the 2017 Undergraduate Mathematics Day

Inclusive pages

17-24

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.

Keywords

magic squares, polygons

Disciplines

Mathematics

Comments

This paper was presented Saturday, Nov. 11, 2017, as part of Undergraduate Mathematics Day at the University of Dayton. Launched in 2003, Undergraduate Mathematics Day is held in odd-numbered years and alternates with the Biennial Alumni Career Seminar. The conference coincides with the annual Schraut Memorial Lecture, named Kenneth “Doc” Schraut, a mathematics faculty member from 1940 to 1978 and department chair from 1954 to 1970.

The 2017 invited lecturer was Joseph Gallian, the Morse Alumni Distinguished University Professor of Teaching at the University of Minnesota Duluth and a past president of the Mathematical Association of America. He presented the lecture “Breaking Driver’s License Codes.”

eCommons Citation

Jakicic, Victoria and Bouchat, Rachelle, "Magic Polygons and Their Properties" (2018). Undergraduate Mathematics Day: Past Content. 32.
https://ecommons.udayton.edu/mth_epumd/32