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08/29/2023
When Can You Tile an Integer Rectangle with Integer Squares?
This paper characterizes when an m × n rectangle, where m and n are inte...
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05/22/2021
Continuous Flattening of All Polyhedral Manifolds using Countably Infinite Creases
We prove that any finite polyhedral manifold in 3D can be continuously f...
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05/18/2021
Snipperclips: Cutting Tools into Desired Polygons using Themselves
We study Snipperclips, a computer puzzle game whose objective is to crea...
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07/17/2020
Escaping a Polygon
Suppose an "escaping" player moves continuously at maximum speed 1 in th...
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06/01/2020
Negative Instance for the Edge Patrolling Beacon Problem
Can an infinite-strength magnetic beacon always “catch” an iron ball, wh...
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04/26/2018