Girth (geometry)

In three-dimensional geometry, the girth of a geometric object, in a certain direction, is the perimeter of its parallel projection in that direction.[1][2] For instance, the girth of a unit cube in a direction parallel to one of the three coordinate axes is four: it projects to a unit square, which has four as its perimeter.

  1. ^ Hilbert, David; Cohn-Vossen, Stephan (1952), Geometry and the Imagination (2nd ed.), Chelsea, pp. 216–217, ISBN 0-8284-1087-9.
  2. ^ Groemer, H. (1996), Geometric Applications of Fourier Series and Spherical Harmonics, Encyclopedia of Mathematics and its Applications, vol. 61, Cambridge University Press, p. 219, ISBN 9780521473187.