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|[[File:Distorted truncated square tiling.svg|150px]]<br/>A [[#Tilings_that_are_not_edge-to-edge|non-edge-to-edge tiling]] can have different-sized regular faces.
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Euclidean [[Plane (mathematics)|plane]] '''[[Tessellation|tilings]] by convex [[regular polygon]]s''' have been widely used since antiquity. The first systematic mathematical treatment was that of [[Johannes Kepler|Kepler]] in his
== Notation of Euclidean tilings ==
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