Lvormen

Lvormen are shapes that resemble the letter L. In geometry and design they are typically formed by the union of two rectangles sharing a corner, creating a simple orthogonal polygon with a concave notch. In the standard configuration, an L-vorm has eight vertices and a single reflex interior angle of 270 degrees. All angles are right angles, and the shape is non-convex.

Geometric properties and construction: As an orthogonal polygon, all edges run horizontally or vertically. The area of an Lvorm can be found by partitioning the shape into two rectangles and summing their areas, or by adding the areas of the legs and subtracting any overlap. The perimeter is the sum of the outer edge lengths, and the exact lengths depend on the relative widths and heights of the two legs.

Variants and applications: There are many L-shaped configurations, varying in the thickness and length of each leg. In architecture and floor planning, L-vormen are common for rooms, housing blocks, and courtyards, where the shape can influence circulation, light, and spatial interest. In design and manufacturing, L-shaped footprints appear in shelving layouts, furniture design, and site plans to maximize frontage or allow specific adjacencies.

Related concepts: L-trominoes are smaller, three-square L shapes used in tiling problems, and rectilinear polygons describe broader classes of shapes with only right-angle corners. Lvormen thus sit at the intersection of practical design and geometric study.