Mathematics, Computer Science, and Statistics

Though each discipline tends to be regarded as the antithesis of the other, mathematics and art intersect often and with fascinating results. This junction appears notably in the works of M.C Escher, a Dutch artist who, despite his incredulity in having any mathematical prowess, developed his own ideas of plane division which would appear in his tessellations. These tessellations would inspire his interest in what mathematicians call plane crystallographic or wallpaper groups, which are classifications of wallpaper patterns, or two dimensional repetitive patterns.

Clash Royale is a real-time strategy video game that allows two players to “battle” with their decks—a combination of eight cards, each associated with a level that can be increased through upgrades. Our goal was to investigate the most effective card-upgrade strategy across different decks while also taking into account the in-game currency required for upgrades.

The air pollution is the most serious problem in China, and people from other countries only know that environmental problem, but don’t understand its trend and compositions. I wanted to find the trend of smog and using a statistical model to see the trend and correlation. What I enjoyed the most this summer were the daily meetings with Professor Ramler as we explored the new methods for graphing different kinds of data, which I never learned in class, and dealing with the questions I had.