hexahedral

hexahedral

A child holds a hexahedral wooden block.

Definition

Adjective - Relating to or having the form of a hexahedron, which is a three-dimensional geometric solid with six faces. A hexahedron is a polyhedron with exactly six plane faces, of which a cube is the most common example.

Usage Examples
  • (The crystal had the shape of a six-faced solid.)
  • (We examined three-dimensional objects with six faces.)
  • (The module was shaped like a six-faced polyhedron.)
Advanced Usage
  • "hexahedral symmetry": Symmetry characteristic of a hexahedron, often referring to the arrangement of faces, edges, and vertices.

    • The mineral exhibits hexahedral symmetry, indicating a cubic crystal system. (The mineral's form shows the symmetry of a six-faced solid.)
  • "hexahedral mesh": In computational geometry and engineering, a mesh composed of hexahedral elements used for numerical simulations.

    • The engineer created a hexahedral mesh to model stress distribution in the material. (A grid of six-faced cells was used for analysis.)
Variants and Related Words
  • Hexahedron (noun): a solid figure with six faces.

    • A cube is a regular hexahedron. (A cube is a specific type of six-faced solid.)
  • Hexahedrally (adverb): in a manner relating to a hexahedron.

    • The crystals grew hexahedrally, forming cubic shapes. (They developed in the shape of six-faced solids.)
Synonyms
  • Cubic: relating to a cube (though technically all cubes are hexahedra, not all hexahedra are cubes).
  • Six-faced: having six plane faces.
Related Idioms
  • (No common idioms are associated with "hexahedral," as it is a technical term primarily used in geometry, crystallography, and engineering.)