parallelepipedon
Noun: A three-dimensional geometric figure (a polyhedron) with six faces, each of which is a parallelogram. It is a prism whose bases are parallelograms. All opposite faces are parallel and identical parallelograms.
This is a technical term used primarily in geometry and mathematics. It describes a specific 3D shape. * A cube is a special case of a parallelepipedon where all faces are squares. * In crystallography, the structure of some crystals can be described as a parallelepipedon. * The volume of a parallelepipedon can be calculated using the scalar triple product of vectors representing its edges.
- The teacher drew a on the board to explain the concept of volume for oblique prisms.
- To find the space diagonal of a , you need to know the lengths of its three edges and the angles between them.
- Many common objects, like a box or a room, can be approximated as a rectangular (where all angles are right angles).
- Rectangular Parallelepipedon: A specific type where all angles between edges are right angles (90 degrees). This is also called a rectangular prism or cuboid.
- The term is often used in vector algebra, as the absolute value of the scalar triple product |a · (b × c)| gives the volume of the spanned by the vectors a, b, and c.
- Parallelepiped (noun): The more common, shortened form of "parallelepipedon." Both words are synonymous.
- Parallelogram (noun): A two-dimensional quadrilateral with opposite sides parallel. This is the shape that forms each face of a parallelepipedon.
- Prism (noun): A polyhedron with two parallel, congruent faces (bases) and other faces that are parallelograms. A parallelepipedon is a prism with parallelogram bases.
- Parallelepiped
- Oblique prism (when referring to a non-rectangular parallelepipedon)
This is a highly specialized term. In most general contexts, even in mathematics, the shortened form "parallelepiped" is preferred. The "-on" suffix is a Greek-derived ending sometimes used in geometric terms (e.g., polygon, polyhedron).
-
a prism whose bases are parallelograms
Khám phá thêm
Các từ liên quan
Từ đồng nghĩa
Từ gần giống
