A simplicial line arrangement (left) and a simple line arrangement (right).
In geometry, an arrangement of lines is the subdivision of the plane formed by a collection of lines. Problems of counting the features of arrangements have been studied in discrete geometry, and computational geometers have found algorithms for the efficient construction of arrangements.
and 19 Related for: Arrangement of lines information
geometry, an arrangementoflines is the subdivision of the plane formed by a collection oflines. Problems of counting the features ofarrangements have been...
hyperplanes are lines; such an arrangement is often called an arrangementoflines. Historically, real arrangementsoflines were the first arrangements investigated...
crossings of an arrangementoflines, as the involutes of certain curves, or by intersecting circles centered on a partial curve. Every body of constant...
edges form an infinite arrangementoflines. Its dual is the rhombille tiling. This pattern, and its place in the classification of uniform tilings, was...
complexity of the zone of a line in an arrangementoflines. A line arrangement, denoted as A ( L ) {\displaystyle A(L)} , is a subdivision of the plane...
the center point, forming an infinite arrangementoflines. It can also be formed by subdividing each square of a grid into two triangles by a diagonal...
the arrangement consisted of seven main lines, and roughly starting in 1800, it consisted of nine main lines, each of which supports other minor lines. Important...
have lines laid out in a specified arrangement. Some other tracks also follow these protocols, but others have a different arrangementoflines to suit...
cross-sections of a static four-dimensional arrangementoflines passing through a three-dimensional plane, an idea that anticipated the notion of world lines. Hinton's...
art of flower arrangement. It is also known as kadō (華道, 'way of flowers'). The origin of ikebana can be traced back to the ancient Japanese custom of erecting...
of the tiles form lines through the tiling, so each of these four tessellations can alternatively be viewed as an arrangementoflines. In the second four...
flower arrangement is the art of using plant material and flowers to create an eye-catching and balanced composition or display. Evidence of refined...
current lines with two systems (4 conductor cables) typically have a single level arrangementof the conductor cables. For traction current lines with four...
kite's angle of attack, which is set by the bridle; the arrangementoflines which terminate the main kite lines and attach to a number of points across...
minimal arrangements" in the 1980s towards "deep, organic textures" in the 1990s. Concluding his review for AllMusic, John Bush deemed Blue Lines "one of the...
writing most of the album's melodies, backing vocal arrangements, bass lines, and guitar progressions, therefore changing the direction of the recording...
"an exaggeration from the point of view ofarrangement" to further his argument that the painting is "an amalgam of images." However, it is by no means...
The history of flower arrangement dates back to ancient Egyptian times. The earliest known flower arranging dates back to ancient Egypt. Egyptians were...
boundary". However, as Coxeter demonstrated, there is no hyperbolic arrangementoflines whose faces are alternately squares and equilateral triangles, as...