4 papers
Lonely Solids
Ivo Fagundes David de Oliveira, Tanya Khovanova, Yogev Shpilman
A three-dimensional solid has the Rupert property if a congruent copy of the solid can pass through a hole cut through it without splitting it. We extend this idea to pairs of conv…
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…
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…