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math.CO2026
Building with Blocks: Enumerating Polyforms on Tilings
Bert Dobbelaere, Peter Kagey, Drake Thomas +1
In areas as diverse as contemporary art, play structures, climbing equipment, and modular construction toys, we see the presence of building block-like polyhedral complexes, which…
math.CO2023
Counting tilings of the grid, cylinder, and torus
Peter Kagey, William Keehn
We count tilings of the rectangular grid, cylinder, and torus with arbitrary tile sets up to arbitrary symmetries of the square and rectangle, along with cyclic shifti…
math.CO2022
Spinning switches on a wreath product
Peter Kagey
We classify an algebraic phenomenon on certain families of wreath products that can be seen as coming from a family of puzzles about switches on the corners of a spinning table. Su…