Serpentine shape

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.

Serpentine lines in a plate from The Analysis of Beauty by William Hogarth
San Carlo alle Quattro Fontane (Four Fountains) facade in Rome, Italy
A serpentine-front sideboard (United States, 1785–1800)