Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Runcination> ?p ?o }
Showing triples 1 to 76 of
76
with 100 triples per page.
- Runcination abstract "In geometry, runcination is an operation that cuts a regular polytope (or honeycomb) simultaneously along the faces, edges and vertices, creating new facets in place of the original face, edge, and vertex centers.It is a higher order truncation operation, following cantellation, and truncation.It is represented by an extended Schläfli symbol t0,3{p,q,...}. This operation only exists for 4-polytopes {p,q,r} or higher.This operation is dual-symmetric for regular uniform 4-polytopes and 3-space convex uniform honeycombs.For a regular {p,q,r} 4-polytope, the original {p,q} cells remain, but become separated. The gaps at the separated faces become p-gonal prisms. The gaps between the separated edges become r-gonal prisms. The gaps between the separated vertices become {r,q} cells. The vertex figure for a regular 4-polytope {p,q,r} is an q-gonal antiprism (called an antipodium if p and r are different).For regular 4-polytopes/honeycombs, this operation is also called expansion by Alicia Boole Stott, as imagined by taking the cells of the regular form moving them away from the center and filling in new faces in the gaps for each opened vertex and edge.Runcinated 4-polytopes/honeycombs forms:".
- Runcination thumbnail Runcinated_cubic_honeycomb.png?width=300.
- Runcination wikiPageID "6793390".
- Runcination wikiPageLength "4782".
- Runcination wikiPageOutDegree "52".
- Runcination wikiPageRevisionID "651445068".
- Runcination wikiPageWikiLink 4-polytope.
- Runcination wikiPageWikiLink Alicia_Boole_Stott.
- Runcination wikiPageWikiLink Antiprism.
- Runcination wikiPageWikiLink Cantellation_(geometry).
- Runcination wikiPageWikiLink Category:Polytopes.
- Runcination wikiPageWikiLink Convex_uniform_honeycomb.
- Runcination wikiPageWikiLink Coxeter–Dynkin_diagram.
- Runcination wikiPageWikiLink Cubic_honeycomb.
- Runcination wikiPageWikiLink Expansion_(geometry).
- Runcination wikiPageWikiLink Geometry.
- Runcination wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Runcination wikiPageWikiLink Honeycomb_(geometry).
- Runcination wikiPageWikiLink John_Horton_Conway.
- Runcination wikiPageWikiLink Norman_Johnson_(mathematician).
- Runcination wikiPageWikiLink Prism_(geometry).
- Runcination wikiPageWikiLink Rectification_(geometry).
- Runcination wikiPageWikiLink Regular_Polytopes_(book).
- Runcination wikiPageWikiLink Regular_polytope.
- Runcination wikiPageWikiLink Runcinated_120-cells.
- Runcination wikiPageWikiLink Runcinated_24-cells.
- Runcination wikiPageWikiLink Runcinated_5-cell.
- Runcination wikiPageWikiLink Runcinated_tesseracts.
- Runcination wikiPageWikiLink Schläfli_symbol.
- Runcination wikiPageWikiLink Three-dimensional_space_(mathematics).
- Runcination wikiPageWikiLink Truncation_(geometry).
- Runcination wikiPageWikiLink Uniform_4-polytope.
- Runcination wikiPageWikiLink Uniform_honeycombs_in_hyperbolic_space.
- Runcination wikiPageWikiLink Uniform_polyhedron.
- Runcination wikiPageWikiLink Vertex_figure.
- Runcination wikiPageWikiLink File:Runcinated_120-cell.png.
- Runcination wikiPageWikiLink File:Runcinated_120-cell_verf.png.
- Runcination wikiPageWikiLink File:Runcinated_24-cell_Schlegel_halfsolid.png.
- Runcination wikiPageWikiLink File:Runcinated_24-cell_verf.png.
- Runcination wikiPageWikiLink File:Runcinated_5-cell_verf.png.
- Runcination wikiPageWikiLink File:Runcinated_8-cell_verf.png.
- Runcination wikiPageWikiLink File:Runcinated_cubic_honeycomb.png.
- Runcination wikiPageWikiLink File:Runcinated_cubic_honeycomb_verf.png.
- Runcination wikiPageWikiLink File:Runcinated_icosahedral_honeycomb_verf.png.
- Runcination wikiPageWikiLink File:Runcinated_order-5_cubic_honeycomb_verf.png.
- Runcination wikiPageWikiLink File:Runcinated_order-5_dodecahedral_honeycomb_verf.png.
- Runcination wikiPageWikiLink File:Schlegel_half-solid_runcinated_16-cell.png.
- Runcination wikiPageWikiLink File:Schlegel_half-solid_runcinated_5-cell.png.
- Runcination wikiPageWikiLink File:Schlegel_half-solid_runcinated_8-cell.png.
- Runcination wikiPageWikiLinkText "Runcination".
- Runcination wikiPageWikiLinkText "runcinated".
- Runcination wikiPageWikiLinkText "runcination".
- Runcination anchor "Truncation".
- Runcination title "Expansion".
- Runcination title "Truncation".
- Runcination urlname "Expansion".
- Runcination wikiPageUsesTemplate Template:CDD.
- Runcination wikiPageUsesTemplate Template:Fact.
- Runcination wikiPageUsesTemplate Template:GlossaryForHyperspace.
- Runcination wikiPageUsesTemplate Template:Mathworld.
- Runcination wikiPageUsesTemplate Template:No_footnotes.
- Runcination subject Category:Polytopes.
- Runcination hypernym Operation.
- Runcination type MilitaryConflict.
- Runcination type Polytope.
- Runcination type Space.
- Runcination comment "In geometry, runcination is an operation that cuts a regular polytope (or honeycomb) simultaneously along the faces, edges and vertices, creating new facets in place of the original face, edge, and vertex centers.It is a higher order truncation operation, following cantellation, and truncation.It is represented by an extended Schläfli symbol t0,3{p,q,...}.".
- Runcination label "Runcination".
- Runcination sameAs Q3890169.
- Runcination sameAs Edrotranĉo.
- Runcination sameAs m.0gp728.
- Runcination sameAs Runcinacija.
- Runcination sameAs Q3890169.
- Runcination wasDerivedFrom Runcination?oldid=651445068.
- Runcination depiction Runcinated_cubic_honeycomb.png.
- Runcination isPrimaryTopicOf Runcination.