6 papers · 1 filter
Immensely Questionable Tests
Siyona Agarwal, Julian Bernhoft, Karam Gill +8
We study self-referential multiple-choice tests in which the answer choices are positive integers and the question asks how many answer choices are correct. These tests quickly lea…
PRIMES STEP Experience
Slava Gerovitch, Tanya Khovanova
PRIMES STEP is a mathematical outreach program established at MIT in 2015. STEP students study advanced topics beyond the school curriculum and conduct group research projects, oft…
SET! From Groups to Games
Andrey Boris Khesin, Tanya Khovanova
The game of SET is one of the best mathematical games ever. It is no wonder that people have tried to generalize it. We discuss existing generalizations of the game of SET to diffe…
Card Tricks and Information
Aria Chen, Tyler Cummins, Rishi De Francesco +7
Fitch Cheney's 5-card trick was introduced in 1950. In 2013, Mulcahy invented a 4-card trick in which the cards are allowed to be displayed face down. We suggest our own invention:…
My Favorite Math Jokes
Tanya Khovanova
For many years, I have been collecting math jokes and posting them on my website. I have more than 400 jokes there. In this paper, which is an extended version of my talk at the G4…
Fractal Word Search: How Deep to Delve
Klára Churá, Tanya Khovanova
We look at the puzzle \textit{In the Details} which appeared in the 2013 MIT Mystery Hunt and which gained fame as the \textit{fractal word search}. This seemingly impossible puzzl…