The cylinder is an example of a 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). Conversely, it is a surface which can be made by transforming a plane (i.e. "folding", "bending", "rolling", "cutting" and/or "gluing"). In three dimensions all developable surfaces are ruled surfaces (but not vice versa). There are developable surfaces in four-dimensional space which are not ruled.[1]
The envelope of a single parameter family of planes is called a developable surface.
^Hilbert, David; Cohn-Vossen, Stephan (1952), Geometry and the Imagination (2nd ed.), New York: Chelsea, pp. 341–342, ISBN 978-0-8284-1087-8
and 25 Related for: Developable surface information
"gluing"). In three dimensions all developablesurfaces are ruled surfaces (but not vice versa). There are developablesurfaces in four-dimensional space R 4...
the term developable may refer to: A developable space in general topology. A developablesurface in geometry. A tangent developablesurface of a space...
realization of a Möbius strip is not developable. But there exist developable Möbius strips. Conoid Catalan surfaceDevelopable rollers (oloid, sphericon) For...
not a developablesurface, it is impossible to construct a map projection that is both equal-area and conformal. The three developablesurfaces (plane...
geometry of surfaces, a tangent developable is a particular kind of developablesurface obtained from a curve in Euclidean space as the surface swept out...
this can be found at the article on curvature at Wolfram MathWorld. developablesurface, Mathworld. (Retrieved 11 February 2021) Kobayashi, Shoshichi; Nomizu...
the conical surface, including the apex, is a developablesurface. A cylindrical surface can be viewed as a limiting case of a conical surface whose apex...
The surface of the oloid is a developablesurface, meaning that patches of the surface can be flattened into a plane. While rolling, it develops its entire...
In solid geometry, the sphericon is a solid that has a continuous developablesurface with two congruent, semi-circular edges, and four vertices that define...
directions). For a developablesurface, the asymptotic lines are the generatrices, and them only. If a straight line is included in a surface, then it is an...
a developable roller is a convex solid whose surface consists of a single continuous, developable face. While rolling on a plane, most developable rollers...
parabolic line. When a surface has a constant zero Gaussian curvature, then it is a developablesurface and the geometry of the surface is Euclidean geometry...
will be 0 and the surface is a developablesurface. For a minimal surface, the mean curvature is zero at every point. Let M be a surface in Euclidean space...
Developable mechanisms are a special class of mechanisms that can be placed on developablesurfaces. Some well-known examples of developable mechanisms...
right angles to that one axis. It can be used to quickly make any developablesurface. Noyes, Nick. Easy Composters You Can Build: Storey's Country Wisdom...
curvature Elliptic point Types of surfaces Minimal surface Ruled surface Conical surfaceDevelopablesurface Nadirashvili surface See also multivariable calculus...
The Microsoft Surface Pro 10 is a 2-in-1 detachable tablet computer developed by Microsoft, succeeding the Surface Pro 9. The Surface Pro 10, introduced...
Gaussian curvature 0 include cones, tangent developables, and more generally any developablesurface. For any surface embedded in Euclidean space of dimension...
Perspective Can be constructed by light shining through a globe onto a developablesurface. 360 video projection List of national coordinate reference systems...
slope is exactly c {\displaystyle c} . In this case the surface is a tangent developablesurface and is generated by the directrix ( d cos φ , d sin ...
Surface tension is the tendency of liquid surfaces at rest to shrink into the minimum surface area possible. Surface tension is what allows objects with...
The Surface Laptop 6, launched together with the Surface Pro 10, is a laptop device developed by Microsoft for its business customers. The Surface Laptop...
Archived from the original on 10 January 2010. Retrieved 30 April 2018. "GISS Surface Temperature Analysis (v4)". NASA. Retrieved 12 January 2024. Intergovernmental...
Surface Laptop 2, released in 2018 Surface Laptop 3, released in 2019 Surface Laptop 4, released in 2021 Surface Laptop 5, released in 2022 Surface Laptop...
Global Information
