Student Author Information

Brett EhrmanFollow

Access Type

Open Access

Presentation Type

Oral Presentation

Event Website

https://www.lynchburg.edu/academics/red-letter-day/student-scholar-showcase/

Start Date

April 2019

Department

Mathematics

Abstract

In this research, we examine n x n grids whose individual squares are each colored with one of k distinct colors. We seek a general formula for the number of colored grids that are distinct up to rotations, reflections, and color reversals. We examine the problem using a group theoretical approach. We define a specific group action that allows us to incorporate Burnside’s Lemma, which leads us to the desired general results

Faculty Mentor(s)

Dr. Kevin Peterson

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Apr 10th, 11:30 AM

GROUP THEORETICAL ANALYSIS OF ARBITRARILY LARGE, COLORED SQUARE GRIDS

In this research, we examine n x n grids whose individual squares are each colored with one of k distinct colors. We seek a general formula for the number of colored grids that are distinct up to rotations, reflections, and color reversals. We examine the problem using a group theoretical approach. We define a specific group action that allows us to incorporate Burnside’s Lemma, which leads us to the desired general results

https://digitalshowcase.lynchburg.edu/studentshowcase/2019/presentations/53