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• Omnitruncation abstract "In geometry, an omnitruncation is an operation applied to a regular polytope (or honeycomb) in a Wythoff construction that creates a maximum number of facets. It is represented in a Coxeter–Dynkin diagram with all nodes ringed.It is a shortcut term which has a different meaning in progressively-higher-dimensional polytopes: Uniform polytope#Truncation_operators For regular polygons: An ordinary truncation, t0,1{p} = t{p} = {2p}. Coxeter-Dynkin diagram File:CDel node 1.pngFile:CDel p.pngFile:CDel node 1.png For uniform polyhedra (3-polytopes): A cantitruncation (great rhombation), t0,1,2{p,q} = tr{p,q}. (Application of both cantellation and truncation operations) Coxeter-Dynkin diagram: File:CDel node 1.pngFile:CDel p.pngFile:CDel node 1.pngFile:CDel q.pngFile:CDel node 1.png For Uniform 4-polytopes: A runcicantitruncation (great prismation), t0,1,2,3{p,q,r}. (Application of runcination, cantellation, and truncation operations) Coxeter-Dynkin diagram: File:CDel node 1.pngFile:CDel p.pngFile:CDel node 1.pngFile:CDel q.pngFile:CDel node 1.pngFile:CDel r.pngFile:CDel node 1.png, File:CDel nodes 11.pngFile:CDel split2.pngFile:CDel node 1.pngFile:CDel p.pngFile:CDel node 1.png, File:CDel node 1.pngFile:CDel split1.pngFile:CDel nodes 11.pngFile:CDel split2.pngFile:CDel node 1.png For uniform polytera (5-polytopes): A steriruncicantitruncation (great cellation), t0,1,2,3,4{p,q,r,s}. (Application of sterication, runcination, cantellation, and truncation operations) Coxeter-Dynkin diagram: File:CDel node 1.pngFile:CDel p.pngFile:CDel node 1.pngFile:CDel q.pngFile:CDel node 1.pngFile:CDel r.pngFile:CDel node 1.pngFile:CDel s.pngFile:CDel node 1.png, File:CDel nodes 11.pngFile:CDel split2.pngFile:CDel node 1.pngFile:CDel p.pngFile:CDel node 1.pngFile:CDel q.pngFile:CDel node 1.png, File:CDel branch 11.pngFile:CDel 3ab.pngFile:CDel nodes 11.pngFile:CDel split2.pngFile:CDel node 1.png For uniform n-polytopes: t0,1,...,n-1{p1,p2,...,pn}.".
• Omnitruncation wikiPageID "7083690".
• Omnitruncation wikiPageLength "2686".
• Omnitruncation wikiPageOutDegree "26".
• Omnitruncation wikiPageRevisionID "639809556".
• Omnitruncation wikiPageWikiLink Cantellation.
• Omnitruncation wikiPageWikiLink Cantellation_(geometry).
• Omnitruncation wikiPageWikiLink Category:Polyhedra.
• Omnitruncation wikiPageWikiLink Category:Truncated_tilings.
• Omnitruncation wikiPageWikiLink Category:Uniform_polyhedra.
• Omnitruncation wikiPageWikiLink Coxeter.
• Omnitruncation wikiPageWikiLink Coxeter-Dynkin_diagram.
• Omnitruncation wikiPageWikiLink Coxeter–Dynkin_diagram.
• Omnitruncation wikiPageWikiLink Expansion_(geometry).
• Omnitruncation wikiPageWikiLink Geometry.
• Omnitruncation wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
• Omnitruncation wikiPageWikiLink Honeycomb_(geometry).
• Omnitruncation wikiPageWikiLink Norman_Johnson_(mathematician).
• Omnitruncation wikiPageWikiLink Omnitruncated_polyhedron.
• Omnitruncation wikiPageWikiLink Regular_Polytopes_(book).
• Omnitruncation wikiPageWikiLink Regular_polytope.
• Omnitruncation wikiPageWikiLink Runcination.
• Omnitruncation wikiPageWikiLink Sterication.
• Omnitruncation wikiPageWikiLink Truncation_(geometry).
• Omnitruncation wikiPageWikiLink Uniform_4-polytope.
• Omnitruncation wikiPageWikiLink Uniform_5-polytope.
• Omnitruncation wikiPageWikiLink Uniform_polyhedron.
• Omnitruncation wikiPageWikiLink Uniform_polytope.
• Omnitruncation wikiPageWikiLink Wythoff_construction.
• Omnitruncation wikiPageWikiLinkText "Cantitruncated".
• Omnitruncation wikiPageWikiLinkText "Omnitruncated".
• Omnitruncation wikiPageWikiLinkText "Omnitruncation".
• Omnitruncation wikiPageWikiLinkText "omnitruncated".
• Omnitruncation wikiPageWikiLinkText "omnitruncation".
• Omnitruncation anchor "Truncation".
• Omnitruncation hasPhotoCollection Omnitruncation.
• Omnitruncation title "Expansion".
• Omnitruncation title "Truncation".
• Omnitruncation urlname "Expansion".
• Omnitruncation wikiPageUsesTemplate Template:CDD.
• Omnitruncation wikiPageUsesTemplate Template:GlossaryForHyperspace.
• Omnitruncation wikiPageUsesTemplate Template:Mathworld.
• Omnitruncation wikiPageUsesTemplate Template:Polyhedron_operators.
• Omnitruncation subject Category:Polyhedra.
• Omnitruncation subject Category:Truncated_tilings.
• Omnitruncation subject Category:Uniform_polyhedra.
• Omnitruncation hypernym Operation.
• Omnitruncation type MilitaryConflict.
• Omnitruncation type Polytope.
• Omnitruncation comment "In geometry, an omnitruncation is an operation applied to a regular polytope (or honeycomb) in a Wythoff construction that creates a maximum number of facets. It is represented in a Coxeter–Dynkin diagram with all nodes ringed.It is a shortcut term which has a different meaning in progressively-higher-dimensional polytopes: Uniform polytope#Truncation_operators For regular polygons: An ordinary truncation, t0,1{p} = t{p} = {2p}.".
• Omnitruncation label "Omnitruncation".
• Omnitruncation sameAs m.0h3cgh.
• Omnitruncation sameAs Omniprisekanost.
• Omnitruncation sameAs Q7090413.
• Omnitruncation sameAs Q7090413.
• Omnitruncation wasDerivedFrom Omnitruncation?oldid=639809556.
• Omnitruncation isPrimaryTopicOf Omnitruncation.