7 papers
Immensely Questionable Tests
Siyona Agarwal, Julian Bernhoft, Karam Gill +8
We study self-referential multiple-choice tests in which the answer choices are positive integers and the question asks how many answer choices are correct. These tests quickly lea…
Self-Referential Tests
Siyona Agarwal, Julian Bernhoft, Karam Gill +8
We study self-referential multiple-choice tests with the question: \emph{How many correct answer choices are there?} The answer choices are positive integers. A value is called…
On graphs with equal and different Kromatic symmetric functions
Laura Pierson, Soham Samanta
The Kromatic symmetric function (KSF) of a graph is a -analogue introduced by Crew, Pechenik, and Spirkl in arXiv:2301.02177 of Stanley's chromatic symmetri…
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…