facetˈfæs ɪt
facet (v)
- present
- facets
- past
- facetted / faceted
- past participle
- facetted / faceted
- present participle
- facetting / faceting
facet (n)
- plural
- facets
English Definitions:
aspect, facet (noun)
a distinct feature or element in a problem
"he studied every facet of the question"
facet (noun)
a smooth surface (as of a bone or cut gemstone)
facet (Noun)
Any one of the flat surfaces cut into a gem.
facet (Noun)
One among many similar or related, yet still distinct things.
facet (Noun)
One of a series of things, such as steps in a project.
facet (Noun)
One member of a compound eye, as found in insects and crustaceans.
facet (Noun)
A face of codimension 1 of a polytope.
facet (Verb)
To cut a facet into a gemstone.
Facet
In geometry, a facet is any of several things closely related to that of a face of a polyhedron or polytope, and in general refers to certain features of a shape that have dimension as large as possible. ⁕In three-dimensional geometry a facet of a polyhedron is any polygon whose corners are vertices of the polyhedron, and need not be a face. For example, the faces of the convex hull of a non-convex polyhedron are facets of this polyhedron. To facet a polyhedron is to find and join such facets to form 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 facet of a polytope of dimension n is a face that has dimension n − 1. Facets may also be called-faces. In three-dimensional geometry, they are often called "faces" without qualification. ⁕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 simplicial polytopes this coincides with the meaning from polyhedral combinatorics.
Facet
Facets () are flat faces on geometric shapes. The organization of naturally occurring facets was key to early developments in crystallography, since they reflect the underlying symmetry of the crystal structure. Gemstones commonly have facets cut into them in order to improve their appearance by allowing them to reflect light.
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"facet." Kamus.net. STANDS4 LLC, 2024. Web. 22 Oct. 2024. <https://www.kamus.net/english/facet>.
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