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The Collaborative International Dictionary
Faceting

Facet \Fac"et\, v. t. [imp. & p. p. Faceted; p. pr. & vb. n. Faceting.] To cut facets or small faces upon; as, to facet a diamond.

Wiktionary
faceting

n. An arrangement into facets. vb. (present participle of facet English)

Wikipedia
Faceting

In geometry, faceting (also spelled facetting) is the process of removing parts of a polygon, polyhedron or polytope, without creating any new vertices.

New edges of a faceted polyhedron may be created along face diagonals or internal space diagonals. A faceted polyhedron will have two faces on each edge and creates new polyhedra or compounds of polyhedra.

Faceting is the reciprocal or dual process to stellation. For every stellation of some convex polytope, there exists a dual faceting of the dual polytope.

Usage examples of "faceting".

The impassive gray faceting reflected the beam back in a myriad of dull gleams.

It was now in the final stages of the rough faceting prior to its journey to Jartan in Asmara.

Resting on this table are thousands of years of work faceting and shaping.

Mavin turned to see a small creature pick up a round stone from the side of the path, nibble at it experimentally, then nip it quickly with his teeth, faceting the stone, polishing it with a raspy black tongue before raking it to the path with its claws.

There was a hint of polygonal faceting around the eye's edge, though it didn't seem to be an insect-type compound eye.

What if she gave Hollis’ graceful garnet faceting to Meath, replacing it with his complex topaz angles and arcs?

Cut diamond slabs made adequate walls, and the surviving special craftsmen would spend their lives polishing and faceting, carving friezes as intricate as anything Nau had owned at home.