It may provide strength, as in serpentine walls, it may allow the facade of a building to face in multiple directions, or it may be chosen for purely aesthetic reasons.
In furniture, serpentine-front dressers and cabinets have a convex section between two concave ones.
[5] Examples include Louis XV commodes and 18th-century English furniture.
[6] Furniture with a concave section between two convex ones is sometimes referred to as reverse serpentine or oxbow.
The origin is a point of inflection, the axis of x being an asymptote and the curve lies between the parallel lines 2y = ±b.