Social Studies Component

For my Social Studies Component, I will talk about the influence of mathematics on Art in the Historical and Modern World. The most notable mathematical characteristic present in both modern and classical art is symmetry, which is also present in my art. Symmetry is the

reflection of one side to the other, like half of an object looking in a mirror. Symmetric values can be seen in ancient Greek structures and art, most notoriously represented by the Golden Ratio, a mathematical principle which separates different areas of a piece of artwork into proportions. Another aspect present in my art is a more modern art style, sharp edges with no curves, a style generally classified as fractal like. The art style is also a simplified model, meaning that it is not a photo-realistic image, but a depiction. This can also be a representation of Abstract Art, using only lines and shapes.

Many forms of Abstract Art use mathematics. One famous painter that has noticeable is Leonardo Da Vinci, using geometry and algorithms to create masterfully crafted pictures.

Another important component in the assembly of my project is understanding functions. Functions are relations between a set of inputs and their outputs. Functions vary in different outputs, and if inputs meet a certain criteria, they are classified together. There are many types of functions, including constant, linear, quadratic, and etc. These functions have been used in many mathematical and scientific discoveries through the centuries.

One real world use of functions is architecture. Architects use functions to manage the weight on a building, the amount of objects needed, and the budget that they have to build the massive skyscrapers we see in our skylines. Functions are an everyday part of our life, but they do not always resemble the "2x=y" that we are used to seeing in the classroom.