Abstract:
A tiling is a covering of the plane with non-overlapping figures that have no holes between them. For centuries, civilizations have incorporated both the complexity as well as aesthetic properties of tilings into their art and everyday lives. No matter where we look today, from religious to modern day buildings, to the typical household decorative arts, we can see some form of tiling being displayed. In this research, we will study tilings of the plane by various polygons. We want to determine whether, it is possible to tile the plane with a given set of specified figures.