8 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…
Maximum Number of Quads
Nikhil Byrapuram, Hwiseo, Choi +9
We study the maximum number of quads among cards from an EvenQuads deck of size . This corresponds to enumerating quadruples of integers in the range such…
EvenQuads Game and Error-Correcting Codes
Nikhil Byrapuram, Hwiseo, Choi +9
EvenQuads is a new card game that is a generalization of the SET game, where each card is characterized by three attributes, each taking four possible values. Four cards form a qua…
Quad Squares
Nikhil Byrapuram, Hwiseo, Choi +9
We study 4-by-4 squares formed by cards from the EvenQuads deck. EvenQuads is a card game with 64 cards where cards have 3 attributes with 4 values in each attribute. A quad is fou…
Card Games Unveiled: Exploring the Underlying Linear Algebra
Nikhil Byrapuram, Hwiseo, Choi +9
We discuss four famous card games that can help learn linear algebra. The games are: SET, Socks, Spot it!, and EvenQuads. We describe the game in the language of vector, affine, an…