Mathematics is very important for the world. We used it everywhere and every day. It is used in many things that people would never expect. People don't realize how much mathematics is involved in everything around them. More importantly, they don't know how much geometry is involved. Geometry has evolved in the arts, navigation and construction and has made the world technologically advanced. Art is very important for today's world. Not only does it tell about the past, but also about the culture and what the artist felt about the times in which he lived. Geometry is heavily involved in the advancement of art. Artists experimented with repeating patterns. These experiments led to many discoveries that have great influence in today's world. In the early years this led to group theory. Group theory led to linear algebraic groups and Lie groups. In modern times, these experiments have led to the creation of security codes and the compactification of digital images. Without security codes, the national defense of any country would be impossible. As expected, art is about depicting existing objects and living beings. Represent...