6 papers
Stack-Sorting with Dotted-Pattern-Avoiding Stacks
Hansen Shieh, Michael Yang, Ashley Yu
In this paper, we introduce the dotted pattern-avoiding map , which avoids the dotted pattern instead of descents as West's stack-sorting map does. We also e…
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…
The Struggles of Chessland
Irene Choi, Shreyas Ekanathan, Aidan Gao +8
This is a fairy tale taking place in Chessland, located in the Bermuda triangle. The chess pieces survey their land and trap enemy pieces. Behind the story, there is fascinating ma…