Web Definition: Shape
In geometry, two sets of points are of the same shape precisely if one can be transformed to another by dilating & then, if necessary, rotating & translating. Dilation changes the size but not the shape; rotation & translation preserve both size & shape. The shape of an object can be characterized by basic geometry such as points, line, curves, plane & 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. 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. Because of the variation possible in taking cross-section, the orientation of the object is critical. 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 & horizontal axis.
Read More »Dictionary Entry: To form or create - especially, to mold or make into a particular form - to give proper form or figure to.
To suit - to be adjusted or conformable. Character or construction of a thing as determining its external appearance - outward aspect - make - figure - form - guise - as, the shape of a tree - the shape of the head - an elegant shape.
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