Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Alternation_(geometry)> ?p ?o }
- Alternation_(geometry) abstract "In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.Coxeter labels an alternation by a prefixed by an h, standing for hemi or half. Because alternation reduce all polygon faces to half as many sides, it can only be applied for polytopes with all even-sided faces. An alternated square face becomes a digon, and being degenerate, is usually reduced to a single edge.More generally any vertex-uniform polyhedron or tiling with a vertex configuration consisting of all even-numbered elements can be alternated. For example the alternation a vertex figure with 2a.2b.2c is a.3.b.3.c.3 where the three is the number of elements in this vertex figure. A special case is square faces whose order divide in half into degenerate digons. So for example, the cube 4.4.4 is alternated as 2.3.2.3.2.3 which is reduced to 3.3.3, being the tetrahedron, and all the 6 edges of the tetrahedra can also be seen as the degenerate faces of the original cube.".
- Alternation_(geometry) thumbnail Snubcubes_in_grCO.svg?width=300.
- Alternation_(geometry) wikiPageExternalLink Stott_v8.pdf.
- Alternation_(geometry) wikiPageExternalLink naming.html.
- Alternation_(geometry) wikiPageID "4349117".
- Alternation_(geometry) wikiPageLength "7184".
- Alternation_(geometry) wikiPageOutDegree "87".
- Alternation_(geometry) wikiPageRevisionID "672533632".
- Alternation_(geometry) wikiPageWikiLink 16-cell.
- Alternation_(geometry) wikiPageWikiLink 4-polytope.
- Alternation_(geometry) wikiPageWikiLink 5-cube.
- Alternation_(geometry) wikiPageWikiLink 5-demicube.
- Alternation_(geometry) wikiPageWikiLink 6-cube.
- Alternation_(geometry) wikiPageWikiLink 6-demicube.
- Alternation_(geometry) wikiPageWikiLink 8-cell.
- Alternation_(geometry) wikiPageWikiLink Alternate_truncated_cube.
- Alternation_(geometry) wikiPageWikiLink Catalan_solid.
- Alternation_(geometry) wikiPageWikiLink Category:Polychora.
- Alternation_(geometry) wikiPageWikiLink Category:Polyhedra.
- Alternation_(geometry) wikiPageWikiLink Category:Polytopes.
- Alternation_(geometry) wikiPageWikiLink Chamfer_(geometry).
- Alternation_(geometry) wikiPageWikiLink Compound_polyhedron.
- Alternation_(geometry) wikiPageWikiLink Conway_polyhedral_notation.
- Alternation_(geometry) wikiPageWikiLink Conway_polyhedron_notation.
- Alternation_(geometry) wikiPageWikiLink Coxeter.
- Alternation_(geometry) wikiPageWikiLink Cube.
- Alternation_(geometry) wikiPageWikiLink Cubic_honeycomb.
- Alternation_(geometry) wikiPageWikiLink Demihexeract.
- Alternation_(geometry) wikiPageWikiLink Demihypercube.
- Alternation_(geometry) wikiPageWikiLink Demipenteract.
- Alternation_(geometry) wikiPageWikiLink Digon.
- Alternation_(geometry) wikiPageWikiLink File:StellaTruncTriakisOcta.png.
- Alternation_(geometry) wikiPageWikiLink File:StellaTruncTriakisTetra.png.
- Alternation_(geometry) wikiPageWikiLink Gyrated_alternated_cubic_honeycomb.
- Alternation_(geometry) wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Alternation_(geometry) wikiPageWikiLink Hexagonal_prismatic_honeycomb.
- Alternation_(geometry) wikiPageWikiLink Hexeract.
- Alternation_(geometry) wikiPageWikiLink Honeycomb_(geometry).
- Alternation_(geometry) wikiPageWikiLink Hypercube.
- Alternation_(geometry) wikiPageWikiLink Isogonal_figure.
- Alternation_(geometry) wikiPageWikiLink Norman_Johnson_(mathematician).
- Alternation_(geometry) wikiPageWikiLink Penteract.
- Alternation_(geometry) wikiPageWikiLink Polygon.
- Alternation_(geometry) wikiPageWikiLink Polyhedron.
- Alternation_(geometry) wikiPageWikiLink Polytope.
- Alternation_(geometry) wikiPageWikiLink Polytope_compound.
- Alternation_(geometry) wikiPageWikiLink Quasiregular_polyhedron.
- Alternation_(geometry) wikiPageWikiLink Rectification_(geometry).
- Alternation_(geometry) wikiPageWikiLink Regular_Polytopes_(book).
- Alternation_(geometry) wikiPageWikiLink Rhombic_dodecahedron.
- Alternation_(geometry) wikiPageWikiLink Rhombic_triacontahedron.
- Alternation_(geometry) wikiPageWikiLink Small_ditrigonal_icosidodecahedron.
- Alternation_(geometry) wikiPageWikiLink Snub_24-cell.
- Alternation_(geometry) wikiPageWikiLink Snub_24-cell_honeycomb.
- Alternation_(geometry) wikiPageWikiLink Snub_square_antiprism.
- Alternation_(geometry) wikiPageWikiLink Square_antiprism.
- Alternation_(geometry) wikiPageWikiLink Star_polyhedron.
- Alternation_(geometry) wikiPageWikiLink Stellated_octahedron.
- Alternation_(geometry) wikiPageWikiLink Tessellation.
- Alternation_(geometry) wikiPageWikiLink Tesseract.
- Alternation_(geometry) wikiPageWikiLink Tetrahedral-octahedral_honeycomb.
- Alternation_(geometry) wikiPageWikiLink Tetrahedron.
- Alternation_(geometry) wikiPageWikiLink Triakis_icosahedron.
- Alternation_(geometry) wikiPageWikiLink Triakis_octahedron.
- Alternation_(geometry) wikiPageWikiLink Triakis_tetrahedron.
- Alternation_(geometry) wikiPageWikiLink Triangular_prismatic_honeycomb.
- Alternation_(geometry) wikiPageWikiLink Truncated_24-cell.
- Alternation_(geometry) wikiPageWikiLink Truncated_24-cell_honeycomb.
- Alternation_(geometry) wikiPageWikiLink Truncated_24-cells.
- Alternation_(geometry) wikiPageWikiLink Truncated_rhombic_dodecahedron.
- Alternation_(geometry) wikiPageWikiLink Truncated_rhombic_triacontahedron.
- Alternation_(geometry) wikiPageWikiLink Truncated_triakis_icosahedron.
- Alternation_(geometry) wikiPageWikiLink Truncated_triakis_octahedron.
- Alternation_(geometry) wikiPageWikiLink Truncated_triakis_tetrahedron.
- Alternation_(geometry) wikiPageWikiLink Truncation_(geometry).
- Alternation_(geometry) wikiPageWikiLink Vertex-uniform.
- Alternation_(geometry) wikiPageWikiLink Vertex_configuration.
- Alternation_(geometry) wikiPageWikiLink Wythoff_construction.
- Alternation_(geometry) wikiPageWikiLink File:Alternate_truncated_cube.png.
- Alternation_(geometry) wikiPageWikiLink File:Compound_of_two_tetrahedra.png.
- Alternation_(geometry) wikiPageWikiLink File:Hexahedron.jpg.
- Alternation_(geometry) wikiPageWikiLink File:Hexahedron.png.
- Alternation_(geometry) wikiPageWikiLink File:Rhombicdodecahedron.jpg.
- Alternation_(geometry) wikiPageWikiLink File:Rhombictriacontahedron.svg.
- Alternation_(geometry) wikiPageWikiLink File:Schlegel_wireframe_16-cell.png.
- Alternation_(geometry) wikiPageWikiLink File:Schlegel_wireframe_8-cell.png.
- Alternation_(geometry) wikiPageWikiLink File:Small_ditrigonal_icosidodecahedron.png.
- Alternation_(geometry) wikiPageWikiLink File:Snubcubes_in_grCO.svg.
- Alternation_(geometry) wikiPageWikiLink File:StellaTruncRhombicDodeca.png.
- Alternation_(geometry) wikiPageWikiLink File:StellaTruncRhombicTriaconta.png.
- Alternation_(geometry) wikiPageWikiLink File:Tetrahedron.png.
- Alternation_(geometry) wikiPageWikiLink File:Triakisicosahedron.jpg.
- Alternation_(geometry) wikiPageWikiLink File:Triakisoctahedron.jpg.
- Alternation_(geometry) wikiPageWikiLink File:Triakistetrahedron.jpg.
- Alternation_(geometry) wikiPageWikiLink File:Truncated_rhombic_dodecahedron2.png.
- Alternation_(geometry) wikiPageWikiLink File:Truncated_rhombic_triacontahedron.png.
- Alternation_(geometry) wikiPageWikiLink File:Truncated_triakis_icosahedron.png.
- Alternation_(geometry) wikiPageWikiLink File:Truncated_triakis_octahedron.png.
- Alternation_(geometry) wikiPageWikiLink File:Truncated_triakis_tetrahedron.png.
- Alternation_(geometry) wikiPageWikiLink File:Uniform_polyhedron-43-t01.png.