Over the past few weeks, we have learned all kinds of mathematics that we will use in our daily lives. They were all very interesting; my favorite subjects were learning how voting works and how to calculate home ownership. For our final math project in our Math Modeling class, we had to choose a topic that interested us while also having something to do with math. For this presentation, I decided to research the history of mathematics and art and how the two have been used together to create amazing works of art. This project certainly gave me the opportunity to further research the history behind all mathematics and art. Art and mathematics have a fairly long historical relationship. Mathematics has been used to create works of art such as perspectives, golden rectangles, fractals, and even visualizations of the fourth dimension, and art has been used to expand mathematical knowledge, such as how artistic perspective shaped the drawing of mathematical diagrams; as shown by Da Vinci. The ancient Egyptians and ancient Greeks knew about the golden ratio, considered a number that can be found when a line or shape is divided into two parts, such that the longer part divided by the smaller part is also equal to the longest part divided by the shortest part. length or whole shape divided by the longest part. The ancient Greeks and Romans incorporated it and other mathematical relationships, such as the triangle with a 3:4:5 ratio, into the design of monuments such as the Great Pyramid, the Colosseum, and the Parthenon. Artists who took inspiration from and studied mathematics include the Greek sculptor Polykleitos, who created a series of mathematical proportions to sculpt the "perfect" nude male figurine. Renaissance painters like Piero della Francesca and...... middle of paper ......o different positions within the same image; it is both in a circle and in a square. Energy and movement are indicated by the character's active legs and arms. The fine lines on its form show important points in the scheme of proportions and suggest Leonardo's concern for the architectural significance of the work. Leonardo is supposed to represent the body as a building. As you can see, without mathematics, none of these incredible artists and creations would exist. Today, when we think about these art forms, we have no idea what it actually took to invent them. I know I did until I researched how amazing math can be. This research project completely opened my eyes and gave me a greater appreciation of art and mathematics. This topic has fascinated me immensely and I have gained so much from it that I only hope that you will too once you view my presentation..