Conway's Game of Life
An implementation of the cellular automaton created by John Conway.
Welcome to My Lab
This is where I will be publish one-off experimental projects, usually related to math or science.
The Light Switch Problem
AKA the Locker Problem, an interesting result happens when you ask N people to flip every Nth light switch. Check out Numberphile's video for more information.
PI Toothpick Approximation (Pi Day 2022)
Buffon's Needle is a mathematical question with a surprising solution. As it turns out, when you calculate the probability that a line segment of length N intersects a series of parallel lines spaced N units apart, pi makes a unexpected appearance. For Pi Day 2022, I used this fact in reverse to approximate the value of pi by simulating toothpicks being dropped onto evenly spaced lines.
PI-Section (Pi Day 2023)
Before modern computing, pi had to be calculated by hand. Archimedes did this by inscribing a polygon inside a unit circle and circumscribing one outside to find the lower and upper limits of what pi possibly can be. This is a visual demonstration of this method. Check out Veritasium explanation for more details.
Pi Squared (Pi Day 2024)
In this virtual game of darts, we estimate pi by picking random points in a square and counting how many also fall inside of a circle.
EchoVerse
EchoVerse is a fictional chat application powered by GPT 3.5. It was created for April Fools' Day 2024