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)
“I struck the board, and cried, ‘No more,
I will abroad!
What? shall I ever sigh and pine?
My lines and life are free, free as the road,
Loose as the wind, as large as store.
Shall I be still in suit?”
—George Herbert (1593–1633)