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- Projective_polyhedron abstract "In geometry, a (globally) projective polyhedron is a tessellation of the real projective plane. These are projective analogs of spherical polyhedra – tessellations of the sphere – and toroidal polyhedra – tessellations of the toroids.Projective polyhedra are also referred to as elliptic tessellations or elliptic tilings, referring to the projective plane as (projective) elliptic geometry, by analogy with spherical tiling, a synonym for \"spherical polyhedron\". However, the term elliptic geometry applies to both spherical and projective geometries, so the term carries some ambiguity for polyhedra.As cellular decompositions of the projective plane, they have Euler characteristic 1, while spherical polyhedra have Euler characteristic 2. The qualifier \"globally\" is to contrast with locally projective polyhedra, which are defined in the theory of abstract polyhedra.Non-overlapping projective polyhedra (density 1) correspond to spherical polyhedra (equivalently, convex polyhedra) with central symmetry. This is elaborated and extended below in relation with spherical polyhedra and relation with traditional polyhedra.".
- Projective_polyhedron thumbnail Hemicube2.PNG?width=300.
- Projective_polyhedron wikiPageExternalLink books?id=E_HCwwxMbfMC&pg=PA34.
- Projective_polyhedron wikiPageExternalLink books?id=JfmlMYe6MJgC&pg=PA162.
- Projective_polyhedron wikiPageExternalLink books?id=d6sBd9h1HbMC&pg=PA147.
- Projective_polyhedron wikiPageExternalLink books?id=fcm-YW5WqWwC&lpg=PA43.
- Projective_polyhedron wikiPageExternalLink papers%5C009.pdf.
- Projective_polyhedron wikiPageExternalLink citation.cfm?id=158410.
- Projective_polyhedron wikiPageID "26952055".
- Projective_polyhedron wikiPageLength "16309".
- Projective_polyhedron wikiPageOutDegree "66".
- Projective_polyhedron wikiPageRevisionID "679077314".
- Projective_polyhedron wikiPageWikiLink 11-cell.
- Projective_polyhedron wikiPageWikiLink Abstract_polytope.
- Projective_polyhedron wikiPageWikiLink Academic_Press.
- Projective_polyhedron wikiPageWikiLink Antipodal_point.
- Projective_polyhedron wikiPageWikiLink CW_complex.
- Projective_polyhedron wikiPageWikiLink Category:Projective_polyhedra.
- Projective_polyhedron wikiPageWikiLink Commutative_diagram.
- Projective_polyhedron wikiPageWikiLink Convex_combination.
- Projective_polyhedron wikiPageWikiLink Convex_polytope.
- Projective_polyhedron wikiPageWikiLink Correspondence_theorem_(group_theory).
- Projective_polyhedron wikiPageWikiLink Covering_space.
- Projective_polyhedron wikiPageWikiLink Cuboctahedron.
- Projective_polyhedron wikiPageWikiLink Density_(polytope).
- Projective_polyhedron wikiPageWikiLink Dihedral_group.
- Projective_polyhedron wikiPageWikiLink Dihedron.
- Projective_polyhedron wikiPageWikiLink Elliptic_geometry.
- Projective_polyhedron wikiPageWikiLink Euclidean_space.
- Projective_polyhedron wikiPageWikiLink Euler_characteristic.
- Projective_polyhedron wikiPageWikiLink Fundamental_domain.
- Projective_polyhedron wikiPageWikiLink Galois_connection.
- Projective_polyhedron wikiPageWikiLink Geometry.
- Projective_polyhedron wikiPageWikiLink Group_extension.
- Projective_polyhedron wikiPageWikiLink Hemi-dodecahedron.
- Projective_polyhedron wikiPageWikiLink Hemi-icosahedron.
- Projective_polyhedron wikiPageWikiLink Hemi-octahedron.
- Projective_polyhedron wikiPageWikiLink Hemicube_(geometry).
- Projective_polyhedron wikiPageWikiLink Hemipolyhedron.
- Projective_polyhedron wikiPageWikiLink Hosohedron.
- Projective_polyhedron wikiPageWikiLink Immersion_(mathematics).
- Projective_polyhedron wikiPageWikiLink Isometry.
- Projective_polyhedron wikiPageWikiLink Isometry_(Riemannian_geometry).
- Projective_polyhedron wikiPageWikiLink Local_homeomorphism.
- Projective_polyhedron wikiPageWikiLink Pin_group.
- Projective_polyhedron wikiPageWikiLink Platonic_solid.
- Projective_polyhedron wikiPageWikiLink Point_groups_in_three_dimensions.
- Projective_polyhedron wikiPageWikiLink Point_reflection.
- Projective_polyhedron wikiPageWikiLink Polytope_compound.
- Projective_polyhedron wikiPageWikiLink Projective_orthogonal_group.
- Projective_polyhedron wikiPageWikiLink Real_projective_plane.
- Projective_polyhedron wikiPageWikiLink Roman_surface.
- Projective_polyhedron wikiPageWikiLink Simply_connected_space.
- Projective_polyhedron wikiPageWikiLink Sphere.
- Projective_polyhedron wikiPageWikiLink Spherical_polyhedron.
- Projective_polyhedron wikiPageWikiLink Spin_group.
- Projective_polyhedron wikiPageWikiLink Stellated_octahedron.
- Projective_polyhedron wikiPageWikiLink Tessellation.
- Projective_polyhedron wikiPageWikiLink Tetrahemihexahedron.
- Projective_polyhedron wikiPageWikiLink Toroidal_polyhedron.
- Projective_polyhedron wikiPageWikiLink Uniform_polyhedron.
- Projective_polyhedron wikiPageWikiLink File:Hemicube2.PNG.
- Projective_polyhedron wikiPageWikiLink File:Tetrahemihexahedron.png.
- Projective_polyhedron wikiPageWikiLinkText "Projective polyhedron".
- Projective_polyhedron wikiPageWikiLinkText "projective polyhedra".
- Projective_polyhedron wikiPageWikiLinkText "projective polyhedron".
- Projective_polyhedron wikiPageUsesTemplate Template:Citation.
- Projective_polyhedron wikiPageUsesTemplate Template:Cite_conference.
- Projective_polyhedron wikiPageUsesTemplate Template:Cite_journal.
- Projective_polyhedron wikiPageUsesTemplate Template:Harv.
- Projective_polyhedron wikiPageUsesTemplate Template:Refbegin.
- Projective_polyhedron wikiPageUsesTemplate Template:Refend.
- Projective_polyhedron wikiPageUsesTemplate Template:Reflist.
- Projective_polyhedron wikiPageUsesTemplate Template:See.
- Projective_polyhedron subject Category:Projective_polyhedra.
- Projective_polyhedron hypernym Tessellation.
- Projective_polyhedron type Redirect.
- Projective_polyhedron type Concept.
- Projective_polyhedron comment "In geometry, a (globally) projective polyhedron is a tessellation of the real projective plane. These are projective analogs of spherical polyhedra – tessellations of the sphere – and toroidal polyhedra – tessellations of the toroids.Projective polyhedra are also referred to as elliptic tessellations or elliptic tilings, referring to the projective plane as (projective) elliptic geometry, by analogy with spherical tiling, a synonym for \"spherical polyhedron\".".
- Projective_polyhedron label "Projective polyhedron".
- Projective_polyhedron sameAs Q7249474.
- Projective_polyhedron sameAs m.0bm9xbf.
- Projective_polyhedron sameAs Projektivni_polieder.
- Projective_polyhedron sameAs Q7249474.
- Projective_polyhedron wasDerivedFrom Projective_polyhedron?oldid=679077314.
- Projective_polyhedron depiction Hemicube2.PNG.
- Projective_polyhedron isPrimaryTopicOf Projective_polyhedron.