Oral Presentations
Location
Room 232, Schewel Hall
Access Type
Open Access
Entry Number
55
Start Date
4-10-2019 11:30 AM
End Date
4-10-2019 11:45 AM
College
Lynchburg College of Arts and Sciences
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
Rights Statement
The right to download or print any portion of this material is granted by the copyright owner only for personal or educational use. The author/creator retains all proprietary rights, including copyright ownership. Any editing, other reproduction or other use of this material by any means requires the express written permission of the copyright owner. Except as provided above, or for any other use that is allowed by fair use (Title 17, §107 U.S.C.), you may not reproduce, republish, post, transmit or distribute any material from this web site in any physical or digital form without the permission of the copyright owner of the material.
Included in
Group Theoretical Analysis of Arbitrarily Large, Colored Square Grids
Room 232, Schewel Hall
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