Euclidean tilings by convex regular polygons
![](/Images/godic/202502/03/1-uniform_n1.svg3856.png")
![](/Images/godic/202502/03/1-uniform_n2.svg3856.png")
![](/Images/godic/202502/03/2-uniform_13856.png")
![](/Images/godic/202502/03/Distorted_truncated_square_tiling3856.png")
Euclidean plane tilings by convex regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler in his Harmonices Mundi (Latin: The Harmony of the World, 1619).