Flamingo PG Wallpaper Tiles

George Mason University Math 401: Mathematics Through 3D Printing
09/20/2021
Marlanna Bozicevich

Background

Seventeen wallpaper groups were classified in the late 19th century by Russian mathematician Evgraf Stepanovich Fedorov, German mathematician Arthur Moritz Schoenflies, and English mathematician William Barlow. Any repeated pattern on a 2D plane can be classified into one of these 17 groupings. These groups have a variety of sub-features including lattice structure, rotation count, glide reflections, mirroring lines, and traditional reflections. My piece is an example of a PG wallpaper tiling, one of the most simplistic groups out of the 17 different types. In this group, there are no rotations nor reflections with a rectangular lattice structure. The essential characteristic in this group is glide reflections. The direction of the glide reflection is parallel to one group of translated tiles and perpendicular to the adjacent one, meaning that the same tile pattern is rep