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Facet (geometry)

From Wikipedia, the free encyclopedia

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:

References

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  1. ^ Bridge, N.J. (1974). "Facetting the dodecahedron". Acta Crystallographica. A30 (4): 548–552. Bibcode:1974AcCrA..30..548B. doi:10.1107/S0567739474001306.
  2. ^ Inchbald, G. (2006). "Facetting diagrams". The Mathematical Gazette. 90 (518): 253–261. doi:10.1017/S0025557200179653. S2CID 233358800.
  3. ^ Coxeter, H. S. M. (1973), "6 Star-Polyjedra", Regular Polytopes, Dover, p. 95
  4. ^ Matoušek, Jiří (2002), "5.3 Faces of a Convex Polytope", Lectures in Discrete Geometry, Graduate Texts in Mathematics, vol. 212, Springer, p. 86, ISBN 9780387953748.
  5. ^ De Loera, Jesús A.; Rambau, Jörg; Santos, Francisco (2010), Triangulations: Structures for Algorithms and Applications, Algorithms and Computation in Mathematics, vol. 25, Springer, p. 493, ISBN 9783642129711.
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