There are three types of developable surfaces: cones, cylinders (including planes), and tangent surfaces formed by the tangents of a space curve, which is called the cuspidal edge, or the edge of regression. Cylinders do not contain singular points. The only singular point of a cone is its vertex.
Which is developable surface?
In mathematics, a developable surface (or torse: archaic) is a smooth surface with zero Gaussian curvature. That is, it is a surface that can be flattened onto a plane without distortion (i.e. it can be bent without stretching or compression). ... There are developable surfaces in R4 which are not ruled.
What is an example of a developable surface?
Developable surfaces therefore include the cone, cylinder, elliptic cone, hyperbolic cylinder, and plane. ... Other examples include the tangent developable, generalized cone, and generalized cylinder.
