3 papers
math.NT2019
Variants of Base 3 over 2
Matvey Borodin, Hannah Han, Kaylee Ji +8
We discuss two different systems of number representations that both can be called 'base 3/2'. We explain how they are connected. Unlike classical fractional extension, these two s…
math.CO2018
Chip-Firing and Fractional Bases
Matvey Borodin, Hannah Han, Kaylee Ji +8
We study a particular chip-firing process on an infinite path graph. At any time when there are at least chips at a vertex, chips fire to the left and chips fire to t…
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…