Definition & Betydelse | Engelska ordet PARALLELEPIPED

Definition av PARALLELEPIPED

1. parallellepiped

Exempel på hur man kan använda PARALLELEPIPED i en mening

• It is a type of parallelepiped, with pairs of parallel opposite faces, and more specifically a rhombohedron, with congruent edges, and a rectangular cuboid, with right angles between pairs of intersecting faces and pairs of intersecting edges.
• In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning).
• A lattice can be characterized by the geometry of its unit cell, which is a section of the tiling (a parallelogram or parallelepiped) that generates the whole tiling using only translations.
• Example: a parallelepiped is an oblique prism whose base is a parallelogram, or equivalently a polyhedron with six parallelogram faces.
• This more restrictive type of cuboid is also known as a rectangular cuboid, right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.
• The absolute value of the determinant of the matrix formed by a set of translation vectors is the hypervolume of the n-dimensional parallelepiped the set subtends (also called the covolume of the lattice).
• Forms of different geometry are contained in each of the four parts that are created: a cylinder in the inside is a helix staircase, a prismatic roof, a quadrangular pyramid and a series of polygonal apertures on the roof of a parallelepiped protrusion on church’s wall.
• In geometry, a rhombohedron (also called a rhombic hexahedron or, inaccurately, a rhomboid) is a special case of a parallelepiped in which all six faces are congruent rhombi.
• These vectors define a sublattice of the original lattice, which has a fundamental domain that in the two-dimensional case is a parallelogram bounded by unison vectors and their shifted copies, and in the three-dimensional case is a parallelepiped.
• When an edge forms one of the two equal sides of its adjacent isosceles triangle faces, the six disphenoids surrounding the edge form a special type of parallelepiped called a trigonal trapezohedron.
• The term IP set was coined by Hillel Furstenberg and Benjamin Weiss to abbreviate "infinite-dimensional parallelepiped".
• During that period he concentrated on structuring monochrome white surfaces some in "Polyhedral Volumes of Mutable Readings" using parallelepiped shapes and others with cylindrical wooden reliefs, in both cases proposing the play of lights and shadows alternating between order and chaos, fullness and emptiness.
• When affine transformations are factored out, the number of free parameters that describe the shape of a parallelohedron is zero for a parallelepiped (all parallelepipeds are equivalent to each other under affine transformations), two for a hexagonal prism, three for a rhombic dodecahedron, four for an elongated dodecahedron, and five for a truncated octahedron.
• If four faces of a parallelepiped are rhombi, then all edges have equal lengths and all six faces are rhombi; it follows that if two pairs of opposite edges in a tetrahedron are perpendicular, then so is the third pair, and the tetrahedron is orthocentric.
• This polyhedron can be constructed by truncating two opposite vertices of a cube, of a trigonal trapezohedron (a convex polyhedron with six congruent rhombus sides, formed by stretching or shrinking a cube along one of its long diagonals), or of a rhombohedron or parallelepiped (less symmetric polyhedra that still have the same combinatorial structure as a cube).
• Any parallelepiped tessellates Euclidean 3-space, as do the five parallelohedra including the cube, hexagonal prism, truncated octahedron, and rhombic dodecahedron.
• In shape, it is carved in the form of two flat rectangular parallelepipeds oriented vertically and sandwiching a small rectangular parallelepiped.
• The term tessera lusoria (plural: tesserae lusoriae), is a modern archaeological name coined by Christian Hülsen in 1896, to denote a collection of tokens made of flattened bone or ivory and characterized by a parallelepiped shape.

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