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- Finite_geometry abstract "A finite geometry is any geometric system that has only a finite number of points.The familiar Euclidean geometry is not finite, because a Euclidean line contains infinitely many points. A geometry based on the graphics displayed on a computer screen, where the pixels are considered to be the points, would be a finite geometry. While there are many systems that could be called finite geometries, attention is mostly paid to the finite projective and affine spaces because of their regularity and simplicity. Other significant types of finite geometry are finite Möbius or inversive planes and Laguerre planes, which are examples of a general type called Benz planes, and their higher-dimensional analogs such as higher finite inversive geometries.Finite geometries may be constructed via linear algebra, starting from vector spaces over a finite field; the affine and projective planes so constructed are called Galois geometries. Finite geometries can also be defined purely axiomatically. Most common finite geometries are Galois geometries, since any finite projective space of dimension three or greater is isomorphic to a projective space over a finite field (that is, the projectivization of a vector space over a finite field). However, dimension two has affine and projective planes that are not isomorphic to Galois geometries, namely the non-Desarguesian planes. Similar results hold for other kinds of finite geometries.".
- Finite_geometry thumbnail Order_2_affine_plane.svg?width=300.
- Finite_geometry wikiPageExternalLink links.php.
- Finite_geometry wikiPageExternalLink intensivecourse_final.html.
- Finite_geometry wikiPageExternalLink FiniteGeometries.pdf.
- Finite_geometry wikiPageExternalLink problem31.html.
- Finite_geometry wikiPageExternalLink sbseminar.wordpress.com.
- Finite_geometry wikiPageExternalLink small-finite-sets.
- Finite_geometry wikiPageExternalLink problem31.html.
- Finite_geometry wikiPageExternalLink finitegeometries.html.
- Finite_geometry wikiPageExternalLink lam.
- Finite_geometry wikiPageExternalLink finitegeom04.ps.
- Finite_geometry wikiPageExternalLink JWPH.
- Finite_geometry wikiPageExternalLink index.html.
- Finite_geometry wikiPageID "267061".
- Finite_geometry wikiPageRevisionID "587349038".
- Finite_geometry hasPhotoCollection Finite_geometry.
- Finite_geometry title "finite geometry".
- Finite_geometry urlname "FiniteGeometry".
- Finite_geometry subject Category:Combinatorics.
- Finite_geometry subject Category:Finite_geometry.
- Finite_geometry comment "A finite geometry is any geometric system that has only a finite number of points.The familiar Euclidean geometry is not finite, because a Euclidean line contains infinitely many points. A geometry based on the graphics displayed on a computer screen, where the pixels are considered to be the points, would be a finite geometry.".
- Finite_geometry label "Eindige meetkunde".
- Finite_geometry label "Endliche Geometrie".
- Finite_geometry label "Finite geometry".
- Finite_geometry label "Geometría finita".
- Finite_geometry label "Конечная геометрия".
- Finite_geometry label "هندسة منتهية".
- Finite_geometry label "有限幾何学".
- Finite_geometry label "有限幾何學".
- Finite_geometry sameAs Endliche_Geometrie.
- Finite_geometry sameAs Geometría_finita.
- Finite_geometry sameAs 有限幾何学.
- Finite_geometry sameAs Eindige_meetkunde.
- Finite_geometry sameAs m.01nj3r.
- Finite_geometry sameAs Q1077896.
- Finite_geometry sameAs Q1077896.
- Finite_geometry wasDerivedFrom Finite_geometry?oldid=587349038.
- Finite_geometry depiction Order_2_affine_plane.svg.
- Finite_geometry isPrimaryTopicOf Finite_geometry.
