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- Regular_map_(graph_theory) abstract "In mathematics, a regular map is a symmetric tessellation of a closed surface. More precisely, a regular map is a decomposition of a two-dimensional manifold such as a sphere, torus, or real projective plane into topological disks, such that every flag (an incident vertex-edge-face triple) can be transformed into any other flag by a symmetry of the decomposition. Regular maps are, in a sense, topological generalizations of Platonic solids. The theory of maps and their classification is related to the theory of Riemann surfaces, hyperbolic geometry, and Galois theory. Regular maps are classified according to either: the genus and orientability of the supporting surface, the underlying graph, or the automorphism group.".
- Regular_map_(graph_theory) thumbnail Hexagonal_Hosohedron.svg?width=300.
- Regular_map_(graph_theory) wikiPageExternalLink CMbook.pdf.
- Regular_map_(graph_theory) wikiPageExternalLink regularmaps_siggraph09.pdf.
- Regular_map_(graph_theory) wikiPageID "21533914".
- Regular_map_(graph_theory) wikiPageLength "9531".
- Regular_map_(graph_theory) wikiPageOutDegree "92".
- Regular_map_(graph_theory) wikiPageRevisionID "699933254".
- Regular_map_(graph_theory) wikiPageWikiLink Abstract_polytope.
- Regular_map_(graph_theory) wikiPageWikiLink Alternating_group.
- Regular_map_(graph_theory) wikiPageWikiLink Automorphism.
- Regular_map_(graph_theory) wikiPageWikiLink CW_complex.
- Regular_map_(graph_theory) wikiPageWikiLink Category:Discrete_geometry.
- Regular_map_(graph_theory) wikiPageWikiLink Category:Topological_graph_theory.
- Regular_map_(graph_theory) wikiPageWikiLink Chirality_(mathematics).
- Regular_map_(graph_theory) wikiPageWikiLink Complete_graph.
- Regular_map_(graph_theory) wikiPageWikiLink Cube.
- Regular_map_(graph_theory) wikiPageWikiLink Cycle_graph.
- Regular_map_(graph_theory) wikiPageWikiLink Cyclic_group.
- Regular_map_(graph_theory) wikiPageWikiLink Dihedral_group.
- Regular_map_(graph_theory) wikiPageWikiLink Dihedron.
- Regular_map_(graph_theory) wikiPageWikiLink Dodecahedron.
- Regular_map_(graph_theory) wikiPageWikiLink Dyck_graph.
- Regular_map_(graph_theory) wikiPageWikiLink Euclidean_tilings_by_convex_regular_polygons.
- Regular_map_(graph_theory) wikiPageWikiLink Euler_characteristic.
- Regular_map_(graph_theory) wikiPageWikiLink File:Petersen1_tiny.svg.
- Regular_map_(graph_theory) wikiPageWikiLink Flag_(geometry).
- Regular_map_(graph_theory) wikiPageWikiLink Galois_theory.
- Regular_map_(graph_theory) wikiPageWikiLink Genus_(mathematics).
- Regular_map_(graph_theory) wikiPageWikiLink Graph_embedding.
- Regular_map_(graph_theory) wikiPageWikiLink Great_dodecahedron.
- Regular_map_(graph_theory) wikiPageWikiLink Group_action.
- Regular_map_(graph_theory) wikiPageWikiLink Hemi-dodecahedron.
- Regular_map_(graph_theory) wikiPageWikiLink Hemi-icosahedron.
- Regular_map_(graph_theory) wikiPageWikiLink Hemi-octahedron.
- Regular_map_(graph_theory) wikiPageWikiLink Hemicube_(geometry).
- Regular_map_(graph_theory) wikiPageWikiLink Hosohedron.
- Regular_map_(graph_theory) wikiPageWikiLink Hyperbolic_geometry.
- Regular_map_(graph_theory) wikiPageWikiLink Icosahedron.
- Regular_map_(graph_theory) wikiPageWikiLink Manifold.
- Regular_map_(graph_theory) wikiPageWikiLink Mathematics.
- Regular_map_(graph_theory) wikiPageWikiLink Octahedron.
- Regular_map_(graph_theory) wikiPageWikiLink Orientability.
- Regular_map_(graph_theory) wikiPageWikiLink Permutation_group.
- Regular_map_(graph_theory) wikiPageWikiLink Petersen_graph.
- Regular_map_(graph_theory) wikiPageWikiLink Planar_graph.
- Regular_map_(graph_theory) wikiPageWikiLink Platonic_graph.
- Regular_map_(graph_theory) wikiPageWikiLink Platonic_solid.
- Regular_map_(graph_theory) wikiPageWikiLink Projective_plane.
- Regular_map_(graph_theory) wikiPageWikiLink Real_projective_plane.
- Regular_map_(graph_theory) wikiPageWikiLink Riemann_surface.
- Regular_map_(graph_theory) wikiPageWikiLink Schläfli_symbol.
- Regular_map_(graph_theory) wikiPageWikiLink Sphere.
- Regular_map_(graph_theory) wikiPageWikiLink Surface.
- Regular_map_(graph_theory) wikiPageWikiLink Symmetric_group.
- Regular_map_(graph_theory) wikiPageWikiLink Tensor_product_of_graphs.
- Regular_map_(graph_theory) wikiPageWikiLink Tessellation.
- Regular_map_(graph_theory) wikiPageWikiLink Tetrahedron.
- Regular_map_(graph_theory) wikiPageWikiLink Topological_graph_theory.
- Regular_map_(graph_theory) wikiPageWikiLink Toroidal_graph.
- Regular_map_(graph_theory) wikiPageWikiLink Torus.
- Regular_map_(graph_theory) wikiPageWikiLink Triangle_group.
- Regular_map_(graph_theory) wikiPageWikiLink Triple_torus.
- Regular_map_(graph_theory) wikiPageWikiLink Turán_graph.
- Regular_map_(graph_theory) wikiPageWikiLink File:3-cube_column_graph.svg.
- Regular_map_(graph_theory) wikiPageWikiLink File:3-cube_t2.svg.
- Regular_map_(graph_theory) wikiPageWikiLink File:3-simplex_graph.svg.
- Regular_map_(graph_theory) wikiPageWikiLink File:5-simplex_graph.svg.
- Regular_map_(graph_theory) wikiPageWikiLink File:Dodecahedron_t0_H3.png.
- Regular_map_(graph_theory) wikiPageWikiLink File:Hemicube2.PNG.
- Regular_map_(graph_theory) wikiPageWikiLink File:Hexagonal_Hosohedron.svg.
- Regular_map_(graph_theory) wikiPageWikiLink File:Icosahedron_t0_A2.png.
- Regular_map_(graph_theory) wikiPageWikiLink File:Undirected_6_cycle.svg.
- Regular_map_(graph_theory) wikiPageWikiLinkText "Regular map (graph theory)".
- Regular_map_(graph_theory) wikiPageWikiLinkText "Regular map".
- Regular_map_(graph_theory) wikiPageWikiLinkText "Regular maps".
- Regular_map_(graph_theory) wikiPageWikiLinkText "Regular_map_(graph_theory)".
- Regular_map_(graph_theory) wikiPageWikiLinkText "generalized regular polyhedra".
- Regular_map_(graph_theory) wikiPageWikiLinkText "regular map (graph theory)".
- Regular_map_(graph_theory) wikiPageWikiLinkText "regular map".
- Regular_map_(graph_theory) wikiPageWikiLinkText "symmetric tessellation".
- Regular_map_(graph_theory) wikiPageUsesTemplate Template:Citation.
- Regular_map_(graph_theory) wikiPageUsesTemplate Template:Fact.
- Regular_map_(graph_theory) wikiPageUsesTemplate Template:Reflist.
- Regular_map_(graph_theory) subject Category:Discrete_geometry.
- Regular_map_(graph_theory) subject Category:Topological_graph_theory.
- Regular_map_(graph_theory) hypernym Tessellation.
- Regular_map_(graph_theory) comment "In mathematics, a regular map is a symmetric tessellation of a closed surface. More precisely, a regular map is a decomposition of a two-dimensional manifold such as a sphere, torus, or real projective plane into topological disks, such that every flag (an incident vertex-edge-face triple) can be transformed into any other flag by a symmetry of the decomposition. Regular maps are, in a sense, topological generalizations of Platonic solids.".
- Regular_map_(graph_theory) label "Regular map (graph theory)".
- Regular_map_(graph_theory) sameAs Q7309606.
- Regular_map_(graph_theory) sameAs m.05h4ppb.
- Regular_map_(graph_theory) sameAs Q7309606.
- Regular_map_(graph_theory) wasDerivedFrom Regular_map_(graph_theory)?oldid=699933254.
- Regular_map_(graph_theory) depiction Hexagonal_Hosohedron.svg.
- Regular_map_(graph_theory) isPrimaryTopicOf Regular_map_(graph_theory).