Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Uniform_star_polyhedron> ?p ?o }
- Uniform_star_polyhedron abstract "In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron. They are also sometimes called nonconvex polyhedra to imply self-intersecting. Each polyhedron can contain either star polygon faces, star polygon vertex figures or both.The complete set of 57 nonprismatic uniform star polyhedra includes the 4 regular ones, called the Kepler–Poinsot polyhedra, 5 quasiregular ones, and 48 semiregular ones.There are also two infinite sets of uniform star prisms and uniform star antiprisms. Just as (nondegenerate) star polygons (which have Polygon density greater than 1) correspond to circular polygons with overlapping tiles, star polyhedra that do not pass through the center have polytope density greater than 1, and correspond to spherical polyhedra with overlapping tiles; there are 48 nonprismatic such uniform star polyhedra. The remaining 9 nonprismatic uniform star polyhedra, those that pass through the center, are the hemipolyhedra, and do not correspond to spherical polyhedra, as the center cannot be projected uniquely onto the sphere.The nonconvex forms are constructed from Schwarz triangles.All the uniform polyhedra are listed below by their symmetry groups and subgrouped by their vertex arrangements.Regular polyhedra are labeled by their Schläfli symbol. Other nonregular uniform polyhedra are listed with their vertex configuration or their Uniform polyhedron index U(1-80).Note: For nonconvex forms below an additional descriptor Nonuniform is used when the convex hull vertex arrangement has same topology as one of these, but has nonregular faces. For example an nonuniform cantellated form may have rectangles created in place of the edges rather than squares.".
- Uniform_star_polyhedron thumbnail Uniform-Polyhedra-at-the-Science-Museum.jpg?width=300.
- Uniform_star_polyhedron wikiPageExternalLink 2254.
- Uniform_star_polyhedron wikiPageExternalLink bibperm?q1=ABN8316.0001.001.
- Uniform_star_polyhedron wikiPageExternalLink ~rl.
- Uniform_star_polyhedron wikiPageExternalLink uniform.pdf.
- Uniform_star_polyhedron wikiPageExternalLink kaleido.
- Uniform_star_polyhedron wikiPageExternalLink dual.html.
- Uniform_star_polyhedron wikiPageExternalLink poly.html.
- Uniform_star_polyhedron wikiPageExternalLink unipoly.
- Uniform_star_polyhedron wikiPageExternalLink ?p=baeede46029e489f9df9a3152c6cd8f6&pi=2.
- Uniform_star_polyhedron wikiPageID "8464397".
- Uniform_star_polyhedron wikiPageLength "15881".
- Uniform_star_polyhedron wikiPageOutDegree "166".
- Uniform_star_polyhedron wikiPageRevisionID "642307735".
- Uniform_star_polyhedron wikiPageWikiLink Category:Uniform_polyhedra.
- Uniform_star_polyhedron wikiPageWikiLink Complex_rhombidodecadodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Convex_hull.
- Uniform_star_polyhedron wikiPageWikiLink Coxeter.
- Uniform_star_polyhedron wikiPageWikiLink Cube.
- Uniform_star_polyhedron wikiPageWikiLink Cuboctahedron.
- Uniform_star_polyhedron wikiPageWikiLink Density_(polytope).
- Uniform_star_polyhedron wikiPageWikiLink Ditrigonal_dodecadodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Dodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Geometry.
- Uniform_star_polyhedron wikiPageWikiLink Great_complex_icosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_complex_rhombicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_dirhombicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_disnub_dirhombidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_ditrigonal_dodecicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_ditrigonal_icosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_dodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_dodecicosahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_icosahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_icosicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_inverted_snub_icosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_retrosnub_icosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_snub_dodecicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_snub_icosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_stellated_dodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_stellated_truncated_dodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Great_truncated_icosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Uniform_star_polyhedron wikiPageWikiLink Hemipolyhedra.
- Uniform_star_polyhedron wikiPageWikiLink Hemipolyhedron.
- Uniform_star_polyhedron wikiPageWikiLink Icosahedral_symmetry.
- Uniform_star_polyhedron wikiPageWikiLink Icosahedron.
- Uniform_star_polyhedron wikiPageWikiLink Icositruncated_dodecadodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Inverted_snub_dodecadodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Kepler–Poinsot_polyhedron.
- Uniform_star_polyhedron wikiPageWikiLink List_of_uniform_polyhedra.
- Uniform_star_polyhedron wikiPageWikiLink List_of_uniform_polyhedra_by_Schwarz_triangle.
- Uniform_star_polyhedron wikiPageWikiLink Möbius_triangle.
- Uniform_star_polyhedron wikiPageWikiLink Octahedral_symmetry.
- Uniform_star_polyhedron wikiPageWikiLink Octahedron.
- Uniform_star_polyhedron wikiPageWikiLink Octahemioctahedron.
- Uniform_star_polyhedron wikiPageWikiLink Prismatic_uniform_polyhedron.
- Uniform_star_polyhedron wikiPageWikiLink Quasiregular_polyhedron.
- Uniform_star_polyhedron wikiPageWikiLink Rectangle.
- Uniform_star_polyhedron wikiPageWikiLink Rectangles.
- Uniform_star_polyhedron wikiPageWikiLink Rhombicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Rhombicuboctahedron.
- Uniform_star_polyhedron wikiPageWikiLink Schläfli_symbol.
- Uniform_star_polyhedron wikiPageWikiLink Schwarz_triangle.
- Uniform_star_polyhedron wikiPageWikiLink Small_complex_icosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_complex_rhombicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_ditrigonal_dodecicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_ditrigonal_icosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_dodecicosahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_dodecicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_icosicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_retrosnub_icosicosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_rhombidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_stellated_dodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Small_stellated_truncated_dodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Snub_cube.
- Uniform_star_polyhedron wikiPageWikiLink Snub_dodecadodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Snub_dodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Snub_icosidodecadodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Spherical_polyhedra.
- Uniform_star_polyhedron wikiPageWikiLink Spherical_polyhedron.
- Uniform_star_polyhedron wikiPageWikiLink Square.
- Uniform_star_polyhedron wikiPageWikiLink Square_(geometry).
- Uniform_star_polyhedron wikiPageWikiLink Star_polygon.
- Uniform_star_polyhedron wikiPageWikiLink Symmetry_group.
- Uniform_star_polyhedron wikiPageWikiLink Tetrahedral_symmetry.
- Uniform_star_polyhedron wikiPageWikiLink Tetrahedron.
- Uniform_star_polyhedron wikiPageWikiLink Tetrahemihexahedron.
- Uniform_star_polyhedron wikiPageWikiLink Truncated_cube.
- Uniform_star_polyhedron wikiPageWikiLink Truncated_cuboctahedron.
- Uniform_star_polyhedron wikiPageWikiLink Truncated_dodecadodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Truncated_great_icosahedron.
- Uniform_star_polyhedron wikiPageWikiLink Truncated_icosidodecahedron.
- Uniform_star_polyhedron wikiPageWikiLink Truncated_octahedron.
- Uniform_star_polyhedron wikiPageWikiLink Truncated_tetrahedron.
- Uniform_star_polyhedron wikiPageWikiLink Uniform_polyhedron.
- Uniform_star_polyhedron wikiPageWikiLink Vertex_arrangement.
- Uniform_star_polyhedron wikiPageWikiLink Vertex_configuration.
- Uniform_star_polyhedron wikiPageWikiLink Vertex_figure.
- Uniform_star_polyhedron wikiPageWikiLink File:Cantellated_tetrahedron.png.