The PascGalois project has its origin in a simple exercise with Pascal's triangle. Take each entry in the triangle and replace it with its congruent value mod *n*, where *n* is a positive integer larger than 1. By assigning each of the values 0, 1, ..., *n* - 1 a distinct color, patterns reminiscent of fractals appear. Our interest in this construction lies in the fact that addition mod *n* is the group operation of the cyclic group Z_{n} and the patterns seen in the triangles are related to the structure of these groups. By replacing Z_{n} with other finite groups one can use the same fractal-like patterns to visualize the structure of these non-cyclic groups.

The PascGalois Project was made possible through two grants from the National Science Foundation, DUE-0087644 and DUE-0339477.

For more information or questions about the project please contact us at,

Dr. Mike Bardzell

Department of Mathematics and Computer Science

Henson School of Science & Technology

Henson Hall, 132C

Salisbury University

Salisbury, Maryland 21801

mjbardzell@salisbury.edu

Dr. Kathleen Shannon

Department of Mathematics and Computer Science

Henson School of Science & Technology

Devilbis Hall, 105

Salisbury University

Salisbury, Maryland 21801

kmshannon@salisbury.edu

Dr. Don Spickler

Department of Mathematics and Computer Science

Henson School of Science & Technology

Henson Hall, 132E

Salisbury University

Salisbury, Maryland 21801

despickler@salisbury.edu