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
Famous quotes containing the word shape:
“There are moments when very little truth would be enough to shape opinion. One might be hated at extremely low cost.”
—Jean Rostand (18941977)
“The following general definition of an animal: a system of different organic molecules that have combined with one another, under the impulsion of a sensation similar to an obtuse and muffled sense of touch given to them by the creator of matter as a whole, until each one of them has found the most suitable position for its shape and comfort.”
—Denis Diderot (17131784)
“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 (15641616)