Desenvolvível

Desenvolvível is a term used in geometry to describe a surface that can be flattened onto a plane without stretching or tearing. Think of a piece of paper; it is a flat, two-dimensional surface that can be easily manipulated. A developable surface is the three-dimensional equivalent of this. The key characteristic is that the Gaussian curvature of a developable surface is always zero. Gaussian curvature is a measure of how much a surface is curved at a particular point. If the Gaussian curvature is zero, the surface is essentially flat in all directions at that point, allowing it to be unrolled into a plane.

Examples of developable surfaces include cylinders, cones, and tangent planes. A cylinder can be unrolled into a rectangle, and a cone can be unrolled into a sector of a circle. The tangent plane to any point on any surface is also a developable surface. Non-developable surfaces, such as a sphere or a torus, have non-zero Gaussian curvature and cannot be flattened without distortion. This property is crucial in fields like engineering, manufacturing, and architecture where materials often need to be formed from flat sheets into curved shapes. For instance, sheet metal for car bodies or shipbuilding often involves working with developable surfaces.