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- List_of_Taylor_polyhedra abstract "The Taylor polyhedra are the vertex-transitive polyhedra that are not included in the standard list of uniform polyhedra because they include the cross polygon {4/2} and its double faced natural truncation {24}, used to form the {4,4/2} family of cross polyhedra, analogous to the {5,5/2} family of star polyhedra. They are all generated by the six missing Schwarz triangles with octahedral symmetry (4 2 4/2), (4/3 2 4/2), (3 3 4/2), (3/2 3 4/2), (3/2 3/2 4/2) and (4/2 4/2 4/2). As with many other polyhedra generated by consideration of Schwarz triangles, they are technically degenerate and have coincident vertices, faces or edges, those from the last four triangles listed being double versions of those in the first two triangles.These polyhedra generally have densities greater than 1, the tiling of the sphere that produces them taking place in multiple layers with several visits to any one vertex or edge. However they are best appreciated by accepting {4/2}, the crossed digon, as a polygon in its own right. Although it has no area, it is self inverse and sits naturally between the usual polygons with positive area such as {5/2} and their inverses with negative area such as {5/3}.Taken with the accepted uniform polyhedra and the polyhedra generated by Schwarz triangles generally, the Taylor polyhedra allow a more complete classification to emerge, without the peculiar gaps that currently exist within the uniform polyhedra.".
- List_of_Taylor_polyhedra wikiPageID "36806541".
- List_of_Taylor_polyhedra wikiPageLength "7565".
- List_of_Taylor_polyhedra wikiPageOutDegree "30".
- List_of_Taylor_polyhedra wikiPageRevisionID "638953712".
- List_of_Taylor_polyhedra wikiPageWikiLink Category:Polyhedra.
- List_of_Taylor_polyhedra wikiPageWikiLink Compound_of_two_truncated_tetrahedra.
- List_of_Taylor_polyhedra wikiPageWikiLink Cross_polygon.
- List_of_Taylor_polyhedra wikiPageWikiLink Double_hexahexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Double_stella_octangula.
- List_of_Taylor_polyhedra wikiPageWikiLink Double_stellated_hexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Double_tetrahemihexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Double_truncated_stellated_hexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Great_hexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Hexahexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Isogonal_figure.
- List_of_Taylor_polyhedra wikiPageWikiLink Polyhedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Quasisnub_stella_octangula.
- List_of_Taylor_polyhedra wikiPageWikiLink Quasitruncated_great_hexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Quasitruncated_hexahexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Retrosnub_stella_octangula.
- List_of_Taylor_polyhedra wikiPageWikiLink Rhombihexahexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Schläfli_symbol.
- List_of_Taylor_polyhedra wikiPageWikiLink Snub_hexahexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Snub_stella_octangula.
- List_of_Taylor_polyhedra wikiPageWikiLink Star_polyhedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Stellated_hexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Stellated_octahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Triple_stella_octangula.
- List_of_Taylor_polyhedra wikiPageWikiLink Truncated_great_hexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Truncated_hexahexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Truncated_stellated_hexahedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Truncation_(geometry).
- List_of_Taylor_polyhedra wikiPageWikiLink Uniform_polyhedron.
- List_of_Taylor_polyhedra wikiPageWikiLink Wythoff_symbol.
- List_of_Taylor_polyhedra wikiPageUsesTemplate Template:No_footnotes.
- List_of_Taylor_polyhedra subject Category:Polyhedra.
- List_of_Taylor_polyhedra hypernym Polyhedra.
- List_of_Taylor_polyhedra type List.
- List_of_Taylor_polyhedra type List.
- List_of_Taylor_polyhedra type Polytope.
- List_of_Taylor_polyhedra comment "The Taylor polyhedra are the vertex-transitive polyhedra that are not included in the standard list of uniform polyhedra because they include the cross polygon {4/2} and its double faced natural truncation {24}, used to form the {4,4/2} family of cross polyhedra, analogous to the {5,5/2} family of star polyhedra. They are all generated by the six missing Schwarz triangles with octahedral symmetry (4 2 4/2), (4/3 2 4/2), (3 3 4/2), (3/2 3 4/2), (3/2 3/2 4/2) and (4/2 4/2 4/2).".
- List_of_Taylor_polyhedra label "List of Taylor polyhedra".
- List_of_Taylor_polyhedra sameAs Q6599138.
- List_of_Taylor_polyhedra sameAs Q6599138.
- List_of_Taylor_polyhedra sameAs 泰勒多面體.
- List_of_Taylor_polyhedra wasDerivedFrom List_of_Taylor_polyhedra?oldid=638953712.
- List_of_Taylor_polyhedra isPrimaryTopicOf List_of_Taylor_polyhedra.