↑ Click and check out my extended essay! ↑

Extended Essay on Group Theory and Rubik’s Cube

During my time at the Stanford University Mathematics Camp (SUMaC), I studied abstract algebra and number theory, with a particular fascination for group theory. I was intrigued by how group theory can illustrate the solvability of the Rubik’s Cube. This inspiration motivated me to present on how group theory applies to solving the Rubik’s Cube at SUMaC and to write my IB extended essay on this topic. Click and check out my extended essay on the left!

Personal Project on Lissajous Curves

One day, while watching science experiment videos on YouTube, I came across a video of an LED light on a pendulum creating beautiful, patterned curves. Fascinated, I wanted to explore the physics and math behind these shapes, known as Lissajous curves. Inspired, I recreated the experiment, filmed the curves, and modeled them using my knowledge of physics and math. I also coded a simple simulator to demonstrate the drawing process for different Lissajous curves. Here’s a link to my website where I documented the project to share what I learned.

Simulation Screenshot

Experimental Sample Result

Modeled Graph Screenshot