rhombohedron
Noun: A rhombohedron is a three-dimensional geometric shape. It is a specific type of parallelepiped (a six-faced figure where each face is a parallelogram) bounded by six faces that are all identical rhombuses. All its edges have equal length.
The term is used in geometry, crystallography, and mathematics to describe a solid object with this specific shape. * In geometry, a cube is a special case of a rhombohedron where the angles between edges are 90 degrees. * The crystal structure of calcite is often described as a rhombohedron.
- The mathematician constructed a perfect rhombohedron from six congruent rhombuses.
- In this model, each unit cell of the crystal lattice is a rhombohedron.
- Adjectival Form: Rhombohedral. This describes something having the form of a rhombohedron.
- Example: Calcite has a rhombohedral crystal structure.
- Rhombohedral (adjective): Having the shape or characteristics of a rhombohedron.
- Rhombus (noun): A two-dimensional parallelogram with four equal sides. A rhombohedron's faces are rhombuses.
- Parallelepiped (noun): A more general six-faced three-dimensional figure, each face being a parallelogram. A rhombohedron is a specific type of parallelepiped with congruent rhombic faces.
- Equilateral parallelepiped (This is a technical synonym emphasizing all edges are equal in length).
The definition strictly refers to the three-dimensional solid. It is not used to describe two-dimensional shapes or abstract concepts. Its meaning is highly specialized within scientific and mathematical contexts.
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a parallelepiped bounded by six similar faces (either rhombuses or parallelograms)
