Quadratis Puzzles
Mario Guti\'errez, Hugo Parlier, Paul Turner
TL;DR
This paper introduces a new family of reconfiguration puzzles based on geometric and topological concepts, constructed from square-tiled shapes, and explores their mathematical properties and visualization methods.
Contribution
It presents a novel class of puzzles derived from geometry and topology, linking puzzle spaces with mathematical structures and visualization techniques.
Findings
New family of puzzles based on square-tiled shapes
Mathematical analysis of puzzle spaces and their properties
Visualization methods for exploring puzzle configurations
Abstract
We introduce a family of reconfiguration puzzles arising from ideas in geometry and topology. We present their construction from square-tiled shapes, discuss some of the underlying mathematics and describe how they are naturally associated to puzzle spaces which can be explored through visualization.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Cellular Automata and Applications · Advanced Materials and Mechanics