In mathematics, a developable surface (or torse: archaic) is a surface with zero Gaussian curvature. That is, it is a "surface" that can be flattened onto a plane without distortion (i.e. "stretching" or "compressing"). 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. There are developable surfaces in R4 which are not ruled.
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Famous quotes containing the word surface:
“The surface of the ground in the Maine woods is everywhere spongy and saturated with moisture.”
—Henry David Thoreau (1817–1862)