Shape

In geometry, two objects are of the same shape if one can be transformed to another (ignoring color) by dilating (that is, by multiplying all distances by the same factor) and then, if necessary, rotating and translating. Dilation changes the size but not the shape; rotation and translation preserve both size and shape.

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In other words, the shape of an object is all the geometrical information that remains after location, scale and rotational effects are filtered out.

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Objects which are geometrically similar either have the same shape or one has the same shape as the other's mirror image (or both if they are themselves symmetric).

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A square

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The shape of an object can be characterized by basic geometry such as points, line, curves, plane, and so on. For an object of greater than 2 dimensions, one can always reduce the dimensions of the shape by considering the shape of a cross-section or a projection.

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An elliptical ring

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The cross-section of a spherical object, for example, will be circular. More complex shapes would, however, generate various curvatures depending on the type of cross-section (e.g. horizontal, vertical). Because of the variation possible in taking cross-section, the orientation of the object is critical.

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The shape does not depend on changes in orientation/direction. However, a mirror image could be called a different shape. Shape may change if the object is scaled differentially. For example, a sphere becomes an ellipsoid when scaled differently in the vertical and horizontal axis. In other words, preserving axis of symmetry is important for preserving shapes.

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Geometric shape is a set of points on the plane R² closed with three or more sides, with one curve or with combinations of them (lines, arcs, circles, elliptical arcs, ellipses, hyperbolas, elliptic curves, ...). -->

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Geometry: Geometry (Greek Γεωμετρια, geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. It was one of the two fields of pre-modern mathematics, the other being the study of numbers. In modern times, geometric c...

Distance: :This article is about distance in the mathematical / physical sense. For other uses, see distance (disambiguation)....

Rotating: REDIRECT Rotation...

Shape related Images and Photos (experimental)

Shape Shifter	Shape by Shape Puzzle	Shape Sorting Cube	Shape Sorting Clock
Heart Shape Reef	Shape by Shape Creative Pattern Game	Shape Sequence Sorting Set	Shape, Model And Mold Clay Set
The Shape of Things	The Shape of Things DVD (Widescreen)	Elmo's Shape Adventure (DVD)	True Blood 'Shape Shifter' Men's T-Shirt