High Quality Content by WIKIPEDIA articles! The compactness measure of a shape, sometimes called the shape factor, is a numerical quantity representing the degree to which a shape is compact. The meaning of "compact" here is not related to the topological notion of compact space. Various compactness measures are used. A common compactness measure is the Isoperimetric quotient, the ratio of the area of the shape to the area of a circle (the most compact shape) having the same perimeter. Compactness measures can be defined for three-dimensional shapes as well, typically as functions of volume and surface area. One example of a compactness measure is sphericity ?. Another measure in use is (surfacearea)1.5 / (volume).

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