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PDF Availablehttps://doi.org/10.1007/s10711-021-00605-2
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Cite Journal: Geometriae Dedicata |  Publication Date: Feb 20, 2021 |
Affiliation: Yale University
The hexagon is the least-perimeter tile in the Euclidean plane. On hyperbolic surfaces, the isoperimetric problem differs for every given area. Cox conjectured that a regular k-gonal tile with 120-degree angles is isoperimetric for its area. We prove his conjecture and more.
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