7 papers
On maximal common divisors in Puiseux monoids
Evin Liang, Alexander Wang, Lerchen Zhong
Let be a commutative monoid. An element is called a maximal common divisor of a nonempty subset of if is a common divisor of in and the only commo…
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…
Generalizing the Wythoff Array and other Fibonacci Facts to Tribonacci Numbers
Eric Chen, Adam Ge, Andrew Kalashnikov +8
In this paper, we generalize a lot of facts from John Conway and Alex Ryba's paper, \textit{The extra Fibonacci series and the Empire State Building}, where we replace the Fibonacc…
Fun with Latin Squares
Michael Han, Tanya Khovanova, Ella Kim +8
Do you want to know what an anti-chiece Latin square is? Or what a non-consecutive toroidal modular Latin square is? We invented a ton of new types of Latin squares, some inspired…