5 papers
Mathematics of Gozinta Boxes
Dillan Agrawal, Selena Ge, Jate Greene +8
We study the geometric aspects of the magic trick called Gozinta Boxes. We generalize Gozinta Boxes to other dimensions, and we show that in three and higher dimensions, the maximu…
Chip-Firing on Infinite -ary Trees
Dillan Agrawal, Selena Ge, Jate Greene +8
We use an infinite -ary tree with a self-loop at the root as our underlying graph. We consider a chip-firing process starting with chips at the root. We describe the stable…
Fibonacci Partial Sums Tricks
Nikhil Byrapuram, Adam Ge, Selena Ge +8
The following magic trick is at the center of this paper. While the audience writes the first ten terms of a Fibonacci-like sequence (the sequence following the same recursion as t…
Fibonometry and Beyond
Nikhil Byrapuram, Adam Ge, Selena Ge +8
In 2013, Conway and Ryba wrote a fascinating paper called Fibonometry. The paper, as one might guess, is about the connection between Fibonacci numbers and trigonometry. We were fa…
SOS
Jasper Caravan, Michael Han, Andrew Kalashnikov +7
SOS is a game similar to tic-tac-toe. We study a variety of variations of it played on a 1-by- rectangle. On our journey we change the target string to SOO, then study all targe…