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math.HO2026
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…
math.HO2024
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…
math.HO2024
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…