7 papers
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…
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…