# Category: Fall 2021 Poster Gallery Articles

## Dot Product in Genetics

For this project, we used the dot product with genetics data. The angle between the two vectors demonstrates how closely related the two populations are. This is found using the dot product, as the dot product of two vectors is equivalent to the … Continue reading “Dot Product in Genetics” →

## Our 3D Brain

Using Wolfram Mathematica we graphed the three main parts of the brain (the cerebrum, the cerebellum, and the brainstem) separately and then combined them into what would be a semi-realistic brain with the lateral sulcus, which divides the frontal and temporal … Continue reading “Our 3D Brain” →

## Visualizing Harmony

Our group was inspired by the visual potential of music. After exploring the patterns that are created when an oscillator is used with a loudspeaker, our group did some research on these patterns called Lissajous curves. We chose vocalization specifically and used Japanese software called … Continue reading “Visualizing Harmony” →

## The History of the Contour Plot

My project looked into the history behind the contour plot. To illustrate what a contour plot is, I used Mathematica’s Contourplot and Contourplot3D functions. Prior to the first recorded use of contour lines in mathematics, many sailors had created their own contour lines … Continue reading “The History of the Contour Plot” →

## Multivariable Manga

Our first manga depicts the conversion of cartesian to polar coordinates. We used an example where the region R inside of a circle of radius 2 is equal to {(x,y) | x^2+ y^2 = 4} and showed how to solve for … Continue reading “Multivariable Manga” →

## Welcome to Candyland

My poster, titled “Welcome to Candyland”, displays several parametric 3D plots of different types of candies and their corresponding Mathematica commands. The Frooties display cylindrical and disk inputs, the Whopper employs spherical, and the Dots utilize conical and disk commands. Additionally, I wanted … Continue reading “Welcome to Candyland” →

## Lagrange Multipliers in Economic Consumer Theory

Economics as a field has a lot of math built into it to apply theory to specific problems. I decided to focus specifically on consumer theory because it was an aspect of microeconomics that I feel has one of the most intuitive applications of … Continue reading “Lagrange Multipliers in Economic Consumer Theory” →

## Steepest Route Out of Park Science Building

For our project, we wanted to use contour maps and gradient vectors to determine the steepest route out of Park Science Building. To make our contour plot, our first step was to extract the elevation of various points in and … Continue reading “Steepest Route Out of Park Science Building” →

## The Spirograph: Past, Present, and Future

Our project is meant to do more research about spirographs and draw spirographs using Mathematica. We want to know the history of the spirograph. The Spirograph is a geometric drawing toy that produces mathematical curves known as hypotrochoids and epitrochoids. … Continue reading “The Spirograph: Past, Present, and Future” →