Mathematics is very important to the world. It was used everywhere and every day. It is used in many things that people would never expect. People don't know how much mathematics is involved in everything around them. More importantly, they don't know how much geometry is involved. Geometry evolved into the arts, navigation, and construction and made the world technologically advanced. Art is very important to today's world. It not only tells about the past, but also about the culture and how the artist felt about the times he lived in. Geometry is heavily involved in the progress of art. Artists experimented with repeating patterns. These experiments led to numerous discoveries that have great influence in today's world. During the early years it 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 compaction of digital images. Without security codes the national defense of any country would be impossible. As expected, art is about representing existing objects and living beings. Rap...