Lshaped

L-shaped describes any object or region that resembles the letter L. In geometry, an L-shaped region consists of two rectangular arms joined at a right-angle corner, yielding a non-convex, orthogonal polygon.

Geometrically, an L-shaped region is commonly formed as the union of two axis-aligned rectangles that meet at a corner or, equivalently, as a larger rectangle with a smaller rectangular notch removed from one corner. The resulting figure has a reflex interior angle at the inner corner, and its boundary includes an indentation that gives the characteristic L form.

In architecture and interior design, L-shaped plans and furnishings are widely used. An L-shaped floor plan can maximize external wall area for windows and daylight while creating distinct zones; L-shaped desks or sofas can define work and seating areas within a single space. L-shaped layouts are common in urban plots where corner or irregular spaces are available and functional circulation is a concern.

In mathematics, computer graphics and tiling, L-shaped regions appear as examples of non-convex polygons and polyominoes. They are convenient for illustrating polygon partitioning, triangulation, and mesh generation. In tiling, L-shaped polyominoes such as L-trominoes are studied for problems of covering and coloring.