In geometry an arrangement of lines is the partition of the plane formed by a collection of lines. Bounds on the complexity of arrangements have been studied in discrete geometry, and computational geometers have found algorithms for the efficient construction of arrangements.
Read more about Arrangement Of Lines: Definition, Complexity of Arrangements, Projective Arrangements and Projective Duality, Triangles in Arrangements, Multigrids and Penrose Tilings, Algorithms, Other Types of Arrangement
Famous quotes containing the words arrangement and/or lines:
“The work of Henry James has always seemed divisible by a simple dynastic arrangement into three reigns: James I, James II, and the Old Pretender.”
—Philip Guedalla (1889–1944)
“Every living language, like the perspiring bodies of living creatures, is in perpetual motion and alteration; some words go off, and become obsolete; others are taken in, and by degrees grow into common use; or the same word is inverted to a new sense or notion, which in tract of time makes an observable change in the air and features of a language, as age makes in the lines and mien of a face.”
—Richard Bentley (1662–1742)