parallelopiped
Noun: A three-dimensional geometric figure (a polyhedron) with six faces, where each face is a parallelogram. It is a specific type of prism where the two bases are congruent parallelograms and the lateral faces are also parallelograms. This shape is a generalization of a rectangular prism (a box) where the angles are not necessarily 90 degrees.
The term is used in geometry, mathematics, engineering, and physics to describe a solid object with this specific property. It is a precise, technical term.
Examples: * The crystal's structure was that of a perfect parallelopiped. * To calculate the volume of a parallelopiped, you need the area of its base and its height. * The architect used a parallelopiped as the basic form for the modern sculpture.
- Scalar Triple Product: In vector calculus, the absolute value of the scalar triple product of three vectors gives the volume of the spanned by those vectors.
- In Crystallography: The unit cell of a crystal lattice is often described as a .
- Parallelepiped (noun): The more common and preferred spelling in modern English. It is pronounced the same way and has an identical definition.
- Parallelogram (noun): A two-dimensional quadrilateral with opposite sides parallel. This is the shape that forms each face of a parallelepiped.
- Prism (noun): A polyhedron with two congruent, parallel bases. A is a specific type of prism where the bases are parallelograms.
- Oblique prism (when referring to a non-right )
- There is no perfect common-language synonym; "skewed box" or "slanted box" are informal approximations.
- Volume of a parallelepiped: A standard calculation in geometry.
- Edges of a parallelepiped: Refers to the twelve line segments that form its skeleton.
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a prism whose bases are parallelograms
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