8 citations · 48 across the 76 of their papers we have counts for
6 papers · 1 filter
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…
Limit Densities of Patterns in Permutation Inflations
Tanya Khovanova, Eric Zhang
Call a permutation -inflatable if the sequence of its tensor products with uniform random permutations of increasing lengths has uniform -point pattern densities. Previous wo…
Mathematics of a Sudo-Kurve
Tanya Khovanova, Wayne Zhao
We investigate a type of a Sudoku variant called Sudo-Kurve, which allows bent rows and columns, and develop a new, yet equivalent, variant we call a Sudo-Cube. We examine the tota…
On Base 3/2 and its Sequences
Ben Chen, Richard Chen, Joshua Guo +8
We discuss properties of integers in base 3/2. We also introduce many new sequences related to base 3/2. Some sequences discuss patterns related to integers in base 3/2. Other sequ…
Murder at the Asylum
Tanya Khovanova
I describe a puzzle I wrote for the 2018 MIT Mystery Hunt which introduced new types of people in logic puzzles. I discuss the puzzle itself, the solution, and the mathematics behi…
Coins and Logic
Tanya Khovanova
We establish fun parallels between coin-weighing puzzles and knights-and-knaves puzzles.