Tiles of Lune

The "Tiles of Lune" are shapes created by overlapping or combining specific geometric forms called lunes—crescent-shaped figures formed by two semicircles sharing a diameter. These shapes are significant in geometric studies because they demonstrate how curved figures can be used to construct or approximate other shapes, often revealing elegant relationships between circles and polygons. Historically, they have contributed to understanding geometric constructions, area calculations, and properties of circle segments, playing a role in mathematical explorations related to the classical problems of angle and area.