parallelopipedon

Thân thiện

A child stacks colorful wooden blocks, one of which is a parallelopipedon.

Definition

1. Noun:
   • A solid geometric figure with six faces, each of which is a parallelogram: A "parallelopipedon" is a three-dimensional shape, specifically a prism, where all six faces are parallelograms. This means opposite faces are parallel and identical in shape and size.

Usage

• The term is used in geometry and mathematics to describe a specific type of polyhedron.
• It is a formal, technical term. In more common usage, the word "parallelepiped" is often preferred.

Examples

• Noun:
  • The crystal's structure was that of a perfect parallelopipedon.
  • In the geometry problem, we had to calculate the volume of a parallelopipedon.

Advanced Usage

• The word is synonymous with parallelepiped. "Parallelopipedon" is an older, less common variant.
• It can be described by three vectors originating from the same vertex, representing its edges.

Variants and Related Words

• Parallelepiped (n): The more common modern spelling for the same geometric solid.
• Prism (n): A broader category of polyhedron; a parallelopipedon is a specific type of prism with parallelogram bases.
• Hexahedron (n): Any polyhedron with six faces; a cube and a parallelopipedon are both hexahedrons.

Synonyms

• Parallelepiped: A solid figure bounded by six parallelograms.
• Oblique prism (with parallelogram bases): Describes the shape when it is not a right prism (where lateral faces are rectangles).

Related Terms and Concepts

• Rectangular Parallelepiped: A special case where all angles are right angles, making all faces rectangles. This is commonly known as a rectangular prism or a cuboid.
• Volume Calculation: The volume of a parallelopipedon can be found using the scalar triple product of the three vectors defining its edges.

Học thuật

Noun

1. a prism whose bases are parallelograms

Từ đồng nghĩa

• parallelepiped
• parallelopiped
• parallelepipedon