facet plane

Thân thiện

A student draws a facet plane on a diagram of a cube.

Definition

Noun: - The plane of a facet of an object (as of a cube): A facet plane is the flat, two-dimensional surface that defines one side or face of a polyhedron or a faceted object. It is the geometric plane in which that specific facet lies.

Usage

This term is used in geometry, crystallography, computer graphics, and design to describe the precise planar surface of an individual facet. - The gem cutter carefully polished each facet plane of the diamond. - In 3D modeling, the algorithm calculates the normal vector for every facet plane.

Advanced Usage

• "Orientation of a facet plane": Refers to the spatial direction in which the plane is facing, often described by its normal vector.
  • The reflection depends on the orientation of the facet plane.
• "Adjacent facet planes": Describes two facet planes that meet at a shared edge.
  • The angle between adjacent facet planes determines the object's sharpness.

Variants and Related Words

• Facet (noun): A flat face on a geometric shape, especially one of the several faces of a cut gemstone or polyhedron.
  • Each facet of the crystal reflected the light.
• Planar (adjective): Relating to or lying in a plane; flat and two-dimensional.
  • The surface must be planar for accurate measurement.

Synonyms

• Face plane: The flat surface of a polygonal face.
• Polygonal face: A single flat surface bounded by straight edges, part of a polyhedron.

Related Terms

• Polyhedron: A solid figure with many plane faces, typically more than six.
• Normal vector: A vector that is perpendicular to a surface, such as a facet plane.

Học thuật

Noun

1. the plane of a facet of an object (as of a cube)