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Shape (OE. sceap Eng. created thing), refers to the external
two-dimensional outline, appearance or configuration of some thing ? in
contrast to the matter or content or substance of which it is composed.
In geometry, two sets have the same shape if one can be transformed to
another by a combination of translations, rotations and uniform scaling. In
other words, the shape of a set is all the geometrical information that is
invariant to location, scale and rotation. Shapes of physical objects are
equal if the subsets of space these objects occupy satisfy the definition
above. In particular, the shape does not depend on the size of the object.
Shape can also be more loosely defined as "the appearance of something,
especially its outline". This definition is consistent with the above, in
that the shape of a set does not depend on its position, size or
orientation. However, it does not always imply an exact mathematical tran
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