Shape

The shape (Old English: gesceap, created thing) of an object located in some space is a geometrical description of the part of that space occupied by the object, as determined by its external boundary – abstracting from location and orientation in space, size, and other properties such as colour, content, and material composition.

Mathematician and statistician David George Kendall writes:

In this paper ‘shape’ is used in the vulgar sense, and means what one would normally expect it to mean. We here define ‘shape’ informally as ‘all the geometrical information that remains when location, scale and rotational effects are filtered out from an object.’

Simple shapes can be described by basic geometry objects such as a set of two or more points, a line, a curve, a plane, a plane figure (e.g. square or circle), or a solid figure (e.g. cube or sphere). Most shapes occurring in the physical world are complex. Some, such as plant structures and coastlines, may be so arbitrary as to defy traditional mathematical description – in which case they may be analyzed by differential geometry, or as fractals.

Read more about Shape:  Rigid Shape Definition, Non-rigid Shape Definition, Colloquial Shape Definition, Philosophical Skepticism of Definitions, Shape Analysis, Similarity Classes

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Famous quotes containing the word shape:

    But virtue, as it never will be moved,
    Though lewdness court it in a shape of heaven,
    So lust, though to a radiant angel linked,
    Will sate itself in a celestial bed
    And prey on garbage.
    William Shakespeare (1564–1616)

    I used to say: “there is a God-shaped hole in me.” For a long time I stressed the absence, the hole. Now I find it is the shape which has become more important.
    Salman Rushdie (b. 1948)

    Man is not merely the sum of his masks. Behind the shifting face of personality is a hard nugget of self, a genetic gift.... The self is malleable but elastic, snapping back to its original shape like a rubber band. Mental illness is no myth, as some have claimed. It is a disturbance in our sense of possession of a stable inner self that survives its personae.
    Camille Paglia (b. 1947)