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Zigzag (other)
Zigzag is a jagged, regular pattern. Zigzag, ZigZag, zig zag or zig-zag may also refer to: Film and television * ''Zigzag'' (1963 film) * ''Zig Zag'' (1970 film), a film by Richard A. Colla * ''Zig Zag'' (2002 film), a film by David S. Goyer * ''Zig Zag'' (Canadian TV series) *''Zig Zag'', an educational TV series on BBC Schools *Zigzag, a character in ''The Thief and the Cobbler'' *"Zig Zag", an episode of ''The Outer Limits'', season 6 Music and theatre *'' Zig-Zag!'', a 1917 musical revue * ''Zig Zag'' (The Hooters album) (1989) * ''Zig Zag'' (Tha Mexakinz album) (1994) *''Zig Zag'', a 2003 album by Earl Slick * Zig Zags, a heavy metal/punk rock band Culture * ''ZigZag'' (magazine), a UK rock music magazine * ''Zig Zag'' (manga), a cartoon series by Yuki Nakaji Computer science * ZigZag (software), a data model designed and patented by Ted Nelson * Zig-zag product, a method for constructing graphs in computational complexity *Zig-Zag, a tree-rotation variant used to balanc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zigzag
A zigzag is a pattern made up of small corners at variable angles, though constant within the zigzag, tracing a path between two parallel lines; it can be described as both jagged and fairly regular. In geometry, this pattern is described as a skew apeirogon. From the point of view of symmetry, a regular zigzag can be generated from a simple motif like a line segment by repeated application of a glide reflection. Although the origin of the word is unclear, its first printed appearances were in French-language books and ephemera of the late 17th century. Examples of zigzags The trace of a triangle wave or a sawtooth wave is a zigzag. Pinking shears are designed to cut cloth or paper with a zigzag edge, to lessen fraying. In sewing, a ''zigzag stitch'' is a machine stitch in a zigzag pattern. The zigzag arch is an architectural embellishment used in Islamic, Byzantine, Norman and Romanesque architecture. See also *Serpentine shape *Infinite skew polygon In geometry, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zig-zag Lemma
In mathematics, particularly homological algebra, the zig-zag lemma asserts the existence of a particular long exact sequence in the homology groups of certain chain complexes. The result is valid in every abelian category. Statement In an abelian category (such as the category of abelian groups or the category of vector spaces over a given field), let (\mathcal,\partial_), (\mathcal,\partial_') and (\mathcal,\partial_'') be chain complexes that fit into the following short exact sequence: : 0 \longrightarrow \mathcal \mathrel \mathcal \mathrel \mathcal\longrightarrow 0 Such a sequence is shorthand for the following commutative diagram: commutative diagram representation of a short exact sequence of chain complexes where the rows are exact sequences and each column is a chain complex. The zig-zag lemma asserts that there is a collection of boundary maps : \delta_n : H_n(\mathcal) \longrightarrow H_(\mathcal), that makes the following sequence exact: long exact sequ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fence (mathematics)
In mathematics, a fence, also called a zigzag poset, is a partially ordered set (poset) in which the order relations form a path with alternating orientations: :acehbdfi \cdots A fence may be finite, or it may be formed by an infinite alternating sequence extending in both directions. The incidence posets of path graphs form examples of fences. A linear extension of a fence is called an alternating permutation; André's problem of counting the number of different linear extensions has been studied since the 19th century. The solutions to this counting problem, the so-called Euler zigzag numbers or up/down numbers, are: :1, 1, 2, 4, 10, 32, 122, 544, 2770, 15872, 101042. :. The number of antichains in a fence is a Fibonacci number; the distributive lattice with this many elements, generated from a fence via Birkhoff's representation theorem, has as its graph the Fibonacci cube. A partially ordered set is series-parallel if and only if it does not have four elements forming a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boustrophedon Transform
In mathematics, the boustrophedon transform is a procedure which maps one sequence to another. The transformed sequence is computed by an "addition" operation, implemented as if filling a triangular array in a boustrophedon (zigzag- or serpentine-like) manner—as opposed to a "Raster Scan" sawtooth-like manner. Definition The boustrophedon transform is a numerical, sequence-generating transformation, which is determined by an "addition" operation. Generally speaking, given a sequence: (a_0, a_1, a_2, \ldots), the boustrophedon transform yields another sequence: (b_0, b_1, b_2, \ldots), where b_0 is likely defined equivalent to a_0. The entirety of the transformation itself can be visualized (or imagined) as being constructed by filling-out the triangle as shown in Figure 1. Boustrophedon Triangle To fill-out the numerical Isosceles triangle (Figure 1), you start with the input sequence, (a_0, a_1, a_2, \ldots), and place one value (from the input sequence) per row, using ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zigzag Pass
Zigzag Pass () is a pass through the west portion of Wilckens Peaks in South Georgia, leading from Kohl Plateau to the head of Esmark Glacier. Descriptively named by United Kingdom Antarctic Place-Names Committee The UK Antarctic Place-Names Committee (or UK-APC) is a United Kingdom government committee, part of the Foreign and Commonwealth Office, responsible for recommending names of geographical locations within the British Antarctic Territory (BAT) and ... (UK-APC) in 1982 from the zigzag folding of the rocks in the pass. Mountain passes of South Georgia {{SouthGeorgia-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zigzag Island
Zigzag Island is a small island close off the south coast of Tower Island, Palmer Archipelago. The name applied by United Kingdom Antarctic Place-Names Committee (UK-APC) is descriptive of the island in plan; it is deeply indented, with steep cliff faces. . See also * |
Zigzag Bluff
The Herbert Range is a mountain range in the Queen Maud Mountains of Antarctica, extending from the edge of the polar plateau to the Ross Ice Shelf between the Axel Heiberg and Strom glaciers. Named by the New Zealand Antarctic Place-Names Committee (NZ-APC) for Walter W. Herbert, leader of the Southern Party of the New Zealand GSAE (1961–62) which explored the Axel Heiberg Glacier area. Features Geographical features include: * Axel Heiberg Glacier * Bell Peak * Bigend Saddle * Cohen Glacier * Mount Balchen * Mount Betty The Herbert Range is a mountain range in the Queen Maud Mountains of Antarctica, extending from the edge of the polar plateau to the Ross Ice Shelf between the Axel Heiberg and Strom glaciers. Named by the New Zealand Antarctic Place-Names Committ ... * Mount Cohen * Sargent Glacier * Strom Glacier * Zigzag Bluff References * East Antarctica Queen Maud Mountains Amundsen Coast {{RossDependency-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zigzag River
The Zigzag River is a tributary, about long, of the Sandy River in the U.S. state of Oregon. The Zigzag and one of its major tributaries, the Little Zigzag River, drain the Zigzag Glacier on Mount Hood, a high volcanic peak in the Cascade Range. Their waters flow westward to meet the Sandy River near the community of Zigzag. The river's flow ranges from . The dramatic topography of the Mississippi Head escarpment dominates the upper Zigzag River, where the Timberline Trail crosses the Zigzag River and the Paradise Park Loop Trail crosses a tributary. Avalanches have necessitated rebuilding of the Timberline Trail switchbacks on the southeast side of the river; the Pacific Crest Trail also follows this route. Seventy-five-foot (23 m) Little Zigzag Falls on the Little Zigzag River is one of the three most popular off-road locations in the Zigzag basin, along with Mirror Lake on the Camp Creek tributary and the area just west of Timberline Lodge under three ski lifts wh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zigzag Ranger Station
The Zigzag Ranger Station is a United States Forest Service, Forest Service compound consisting of twenty Rustic architecture, rustic buildings located in Oregon's Mount Hood National Forest. It was built as the administrative headquarters for the Zigzag Ranger District. It is located in the small unincorporated community of Zigzag, Oregon. Many of the historic buildings were constructed by the Civilian Conservation Corps between 1933 and 1942. Today, the Forest Service still uses the ranger station as the Zigzag Ranger District headquarters. The ranger station is listed on the National Register of Historic Places. History In the early 20th century, the forest road networks were not well developed. To facilitate work in United States National Forest, National Forests, the Forest Service built district ranger stations at strategic locations within the forest to house full-time employees and provide logistics support to fire patrols and project crews working at remote forest sites ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
