The PG Tile

The PG Tile by Krista Cimbalista for Math Through 3D Printing/MATH401 at George Mason University on 9/20/2020.

There exist 17 distinct plane symmetry groups. Each group defines a lattice, cells, units, axes of reflection, axes of glide reflections, the highest order of rotation, centers of rotation, reflections, and generating groups. These groups all perfectly tile the plane. You can tell what the symmetry group of a tile is with this list characteristics, because it is unique to the group.[1] You can find a great flowchart midway down this page https://mathstat.slu.edu/escher/index.php/Wallpaper_Patterns that will help identify the group that you are looking at.

My tile for this assignment is part of the group called pg. The notation pg is short for p1g1, which stands for primitive cell (meaning that the highest order of rotation is at the vertices), the first 1 denotes the highest order of rotation, g indicates that there is no reflection but that there is a glide reflection