formsroues

Formsroues is a term used in contemporary geometry and design to describe a family of wheel-like solids and shells. The concept emphasizes radial symmetry and the presence of circular cross-sections that encircle a central axis or spine, producing volumes reminiscent of wheels, gears, or rounded shells. Formsroues can be purely mathematical constructions or design-oriented forms encountered in art and architecture.

Mathematically, a formsroue can be formed by a rotational sweep—rotating a plane profile around an axis—to yield a surface of revolution with a wheel-like contour. More generally, it encompasses swept or offset constructions such as taking a central spine and sweeping a disk (a tube around a curve) or generating hollow, rounded shells by varying the profile along the path. Variants include solid bodies with continuous profiles, hollow shells with changing wall thickness, and segmented forms built from circular ribs or lattices that preserve the wheel-inspired silhouette.

Properties commonly associated with formsroues include radial symmetry, smooth curvature distribution, and a geometry that lends itself to parametric or numerical analysis. Volumes and surface areas can be computed through standard integral methods in simple cases, while more complex forms often rely on computational design tools.

Applications and significance lie in design, architecture, sculpture, and engineering. Formsroues appear as aesthetic wheel-inspired shells in architectural façades, as ornamental or functional volumes in product design, or as generative art in sculpture and animation. The term itself is a neologism used in some design and mathematical discourse to categorize these wheel-like geometries. Related concepts include surfaces of revolution, toroidal and spindle shapes, and other swept or offset geometries.