3 papers
math.CO2017
PRIMES STEP Plays Games
Pratik Alladi, Neel Bhalla, Tanya Khovanova +7
A group of students in 7-9 grades are inventing combinatorial impartial games. The games are played on graphs, piles, and grids. We found winning positions, optimal strategies, and…
math.CO2016
Alternator Coins
Benjamin Chen, Ezra Erives, Leon Fan +9
We introduce a new type of coin: \textit{the alternator}. The alternator can pretend to be either a real or a fake coin (which is lighter than a real one). Each time it is put on a…
math.HO2016
Who Is Guilty?
Benjamin Chen, Ezra Erives, Leon Fan +9
We discuss a generalization of logic puzzles in which truth-tellers and liars are allowed to deviate from their pattern in case of one particular question: "Are you guilty?"