Dice in a Cup

Code available on GitHub

The goal of this project was to simulate the dynamics of a cube boucing around inside a larger cube. This can be thought of as similar to a single die sitting on a table, and a cup being placed over it and shaken. A more in depth description can be found in the PDF writup.

This problem, especially with all the possible impacts, would be very difficult and tedious to solve using Newton’s laws directly, however using the Euler-Lagrange equations, the problem is much more doable. This is however somewhat computationally intensive.