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uncrumple
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Definitions of uncrumple in various dictionaries:
verb - to make wrinkles (small ridges or furrows) in
UNCRUMPLE - In geometry, a pleated surface is roughly a surface that may have simple folds but is not crumpled in more complicated ways. More precisely, a pleate...
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In geometry, a Pleated surface is roughly a surface that may have simple folds but is not crumpled in more complicated ways. More precisely, a pleated surface is an isometry from a complete hyperbolic surface S to a hyperbolic 3-fold such that every point of S is in the interior of a geodesic that is mapped to a geodesic. They were introduced by Thurston (1980, 8.8), where they were called uncrumpled surfaces. * The Universal Book of Mathematics provides the following information about pleated surfaces: * It is a surface in Euclidean space or hyperbolic space that resembles a polyhedron in the sense that it has flat faces that meet along edges. Unlike a polyhedron, a pleated surface has no corners, but it may have infinitely many edges that form a lamination. |