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A gridshell is a structure which derives its strength from its double curvature (in a similar way that a fabric structure derives strength from double curvature), but is constructed of a grid or lattice. The grid can be made of any material, but is most often wood (similar to garden trellis) or steel.
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Latticework may be functional – for example, to allow airflow to or through an area; structural, as a truss in a lattice girder; [2] used to add privacy, as through a lattice screen; purely decorative; or some combination of these. Latticework in stone or wood from the classical period is also called Roman lattice or transenna (plural transenne).
Isogrid panels form self-stiffened structures where low weight, stiffness, strength and damage tolerance are important, such as in aircraft or space vehicles. Aerospace isogrid structures include payload shrouds and boosters, which must support the full weight of upper stages and payloads under high G loads.
A lattice girder, like any girder, primarily resists bending. The component sections may typically include metal beams, channel and angle sections, with the lacing elements either metal plate strips, or angle sections. The lacing elements are typically attached using either hot rivets or threaded locator bolts.
Brass, Moser, and Pach call it "one of the oldest and most extensively studied geometric questions concerning lattice points". [ 1 ] At most 2 n {\displaystyle 2n} points can be placed, because 2 n + 1 {\displaystyle 2n+1} points in a grid would include a row of three or more points, by the pigeonhole principle .
Although the original problem asks for integer lattice points in a circle, there is no reason not to consider other shapes, for example conics; indeed Dirichlet's divisor problem is the equivalent problem where the circle is replaced by the rectangular hyperbola. [3]
Lattice mast, a type of observation mast common on major warships in the early 20th century; Lattice model (physics), a model defined not on a continuum, but on a grid; Lattice tower, or truss tower is a type of freestanding framework tower; Lattice truss bridge, a type of truss bridge that uses many closely spaced diagonal elements