developable surface


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developable surface

[di¦vel·əp·ə·bəl ′sər·fəs]
(mathematics)
A surface that can be obtained from a plane sheet by deformation, without stretching or shrinking.
References in periodicals archive ?
In this paper, we study b-[m.sub.2] developable surfaces of biharmonic b-slant helices in the special three-dimensional [phi]--Ricci symmetric para-Sasakian manifold P.
b-[m.sub.2] developable surfaces of biharmonic b-slant helices in the special three-dimensional [sup.[phi]-]ricci symmetric para-sasakian manifold P
Any constant angle spacelike surface is isometric to a plane, a cone, a cylinder or a tangent developable surface.
In this section we study tangent developable surfaces that are constant angle surfaces (see [10] for the Euclidean ambient space).
This new class of mechanisms, called "developable mechanisms," get their name from developable surfaces, or materials that can take on 3-D shapes from flat conformations without tearing or stretching, like a sheet of paper or metal.
Most of the laser bending done at the institute has involved flat sheets subsequently shaped into developable surfaces such as cylinders or cones.
Such surfaces, when sufficiently regular, are well known to mathematicians as developable surfaces. While developable surfaces have been widely used in engineering, design and manufacture, they have been less popular in computer graphics, despite the fact that their isometric properties make them ideal primitives for texture mapping, some kinds of surface modelling, and computer animation (CARMO, 1976; O'NEIL, 1983; KWON et al., 2005).