3 papers
math.NT2024
Black Hole Zeckendorf Games
Caroline Cashman, Steven J. Miller, Jenna Shuffleton +1
Zeckendorf proved that every positive integer can be written as a decomposition of non-adjacent Fibonacci numbers. Baird-Smith, Epstein, Flint, and Miller converted the process of…
math.CO2024
Hyper-bishops, Hyper-rooks, and Hyper-queens: Percentage of Safe Squares on Higher Dimensional Chess Boards
Caroline Cashman, Joseph Cooper, Raul Marquez +2
The queens problem considers the maximum number of safe squares on an chess board when placing queens; the answer is only known for small . Miller, Sheng an…
math.CO2024
Congruence Classes of Simplex Structures in Finite Field Vector Spaces
Timothy Cheek, Joseph Cooper, Pico Gilman +6
We study a generalization of the Erdős-Falconer distance problem over finite fields. For a graph , two embeddings of a graph are congruent i…