My project uses chords or MIDI files as input and creates an animated tutorial video. My implementation finds the pitches that match a chord on the fretboard in a localized area. To account for some commonly used patterns, I use the CAGED system on guitar. This project also includes an implementation of major scale patterns and tab sheet implementation.

Nikhil Mani

Class of 2023

The study of cellular automata is useful for modeling many evolving systems. In my project, I examine a novel variant of cellular automata that uses sequential updating with multiple sets of rules, resulting in multiway sequential cellular automata. This structure has the potential for modeling many aspects of quantum mechanics, including possibly quantum spin chains. A deeper exploration highlights the impact of specific subsets of multiway circular sequential cellular automata rules on the directionality, behavior, symmetry and causal invariance of the resulting states graphs.

Margaux Wong

Class of 2022

Super Mario Bros. is one of the top-selling video games of all time and is known for its excellently designed platforming levels, which pioneered the platforming video game genre. My project uses a convolutional neural network to help determine whether an array is a Mario level and to generate them using levels from Super Mario Bros. and its sequel Super Mario Bros.: The Lost Levels.

Samion Suwito

Class of 2022

The objective of this project was to implement counter machines in Wolfram Language and establish which counter machine was the most unpredictable. I designed a general counter machine function and used this function to demonstrate five types of counter machines. I determined which counter machines were unpredictable and explored complexity by adding more registers.

Samikshaa Natarajan

Class of 2021

When performing syntheses in a lab, it can be challenging to find the shortest path and to avoid exceptions and pitfalls. A computational system for predicting synthesis pathways can help take the burden off of a chemist and can allow for more consistent results. By transcribing common reactions computationally and applying them recursively, a network can be generated to inform decisions in the lab. My project focused on building the groundwork for this in Wolfram Language, providing informative and computationally significant results and paving the way for comprehensive computational synthesis design.

Joseph Stocke

Class of 2021

This project explores the boid simulation, a widely used model for simulating emergent flocking behavior from simple rules. We explore how static vector fields can be used to manipulate the boid simulation, allowing the flock to follow defined parametric paths and avoid obstacles. We effectively implement an algorithm to generate vector fields that converge to and follow parametric paths (which have defined start and end points), while maintaining the flocking characteristics of the base boid simulation. The process of vector field generation shown in this project can be applied to fields including computer graphics and swarm robotics.

Ritvik Gupta

Class of 2024

Molecular cages have uses in the fields of medicine, biology and chemistry. This project explores the structure of molecular cages and their applications. Several analogs with homogenous and heterogenous bridge lengths are modeled and analyzed. The symmetry and energy of the molecules optimized using MMFF are compared to that of the original molecules. The energy and volume of the original molecules are compared to those optimized using CFF. Both force fields are used to calculate the local minimum on the potential energy surface. The convex hull mesh and volume of these cages are computed using their coordinates and compared to the geometry and size of ions commonly seen in medicine. The optimal bridge length of various molecules is calculated to find the length of the bridges that allow for no undue strain. This analysis of hydrocarbon cages provides new insights into the properties and uses of these molecules.

Ameya Srinivasan

Class of 2024