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What (who) is facet$27150$ - definition
FEATURE OF A POLYTOPE IN THE NEXT-LOWER DIMENSION
Facet (mathematics)
Clavicular facet of scapula
Clavicular articular facet of acromion; Clavicular facet; Clavicular articular facet
Clavicular facet of scapula is small oval facet on the medial border of the acromion for articulation with the acromial facet on the lateral end of the clavicle.Stedman's Medical Dictionary 27th ed, Williams & Wilkins, Baltimore, 1999.
Facet
![[[Earring]] with faceted [[beads]]](https://commons.wikimedia.org/wiki/Special:FilePath/Earring with faceted beads arp.jpg?width=200 "[[Earring]] with faceted [[beads]]")
FLAT SURFACE OF A GEM, CRYSTAL, ETC.
Facet cutting; Unfaceted
·noun The narrow plane surface between flutings of a column.
II. Facet ·vt To cut facets or small faces upon; as, to facet a diamond.
III. Facet ·noun A smooth circumscribed surface; as, the articular facet of a bone.
IV. Facet ·noun A little face; a small, plane surface; as, the facets of a diamond.
V. Facet ·noun One of the numerous small eyes which make up the compound eyes of insects and crustaceans.
Facet (geometry)
In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself. More specifically:
Wikipedia
Facet (geometry)
In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself. More specifically:
- In three-dimensional geometry, a facet of a polyhedron is any polygon whose corners are vertices of the polyhedron, and is not a face. To facet a polyhedron is to find and join such facets to form the faces of a new polyhedron; this is the reciprocal process to stellation and may also be applied to higher-dimensional polytopes.
- In polyhedral combinatorics and in the general theory of polytopes, a face that has dimension n − 1 (an (n − 1)-face or hyperface) is also called a facet.
- A facet of a simplicial complex is a maximal simplex, that is a simplex that is not a face of another simplex of the complex. For (boundary complexes of) simplicial polytopes this coincides with the meaning from polyhedral combinatorics.
