About: Omnitruncation

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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:

Attributes	Values
rdf:type	military conflict
rdfs:label	Omnitruncation (en)
rdfs: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: (en)
dcterms:subject	Uniform polyhedra Polyhedra Truncated tilings
Wikipage page ID	7083690 (xsd:integer)
Wikipage revision ID	1108756892 (xsd:integer)
Link from a Wikipage to another Wikipage	Uniform polyhedra Regular polygon Uniform 4-polytope Uniform polyhedron Coxeter Coxeter–Dynkin diagram Omnitruncated polyhedron Geometry Coxeter-Dynkin diagram Polyhedra Norman Johnson (mathematician) Regular polytope Runcination Honeycomb (geometry) Truncation (geometry) Uniform 5-polytope Uniform polytope Regular Polytopes (book) Truncated tilings Expansion (geometry) Facet (geometry) Wythoff construction Cantellation Sterication
sameAs	Omnitruncation Omnitruncation Omnitruncation Omnitruncation Omnitruncation Omnitruncation
dbp:wikiPageUsesTemplate	dbt:CDD dbt:Mathworld dbt:Short_description dbt:Isbn dbt:Polyhedron_operators
title	Expansion (en)
urlname	Expansion (en)
has 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, . * Coxeter-Dynkin diagram * For uniform polyhedra (3-polytopes): A cantitruncation, . (Application of both cantellation and truncation operations) * Coxeter-Dynkin diagram: * For uniform polychora: A runcicantitruncation, . (Application of runcination, cantellation, and truncation operations) * Coxeter-Dynkin diagram: , , * For uniform polytera (5-polytopes): A steriruncicantitruncation, t0,1,2,3,4{p,q,r,s}. . (Application of sterication, runcination, cantellation, and truncation operations) * Coxeter-Dynkin diagram: , , * For uniform n-polytopes: . (en)
gold:hypernym	Operation
prov:wasDerivedFrom	wikipedia-en:Omnitruncation?oldid=1108756892&ns=0
page length (characters) of wiki page	2748 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Omnitruncation
is Link from a Wikipage to another Wikipage of	Schläfli symbol Omnitruncated simplectic honeycomb Apeirogonal antiprism Apeirogonal hosohedron Apeirogonal prism List of polygons, polyhedra and polytopes Conway polyhedron notation Omnitruncated polyhedron Pentellated 6-cubes Great icosahedron Order-2 apeirogonal tiling Snub polyhedron Truncated 24-cells Truncated cuboctahedron 24 (number) Goursat tetrahedron List of Greek and Latin roots in English/T Heptellated 8-simplexes Uniform polytope Pentellated 6-simplexes Truncated octahedral prism Truncated order-6 hexagonal tiling Stericated 5-cubes Stericated 5-simplexes Simple polytope Uniform tiling Cantitruncation Omnitruncated Omnitruncated tiling Omnitruncation (geometry)
is Wikipage redirect of	Cantitruncation Omnitruncated Omnitruncated tiling Omnitruncation (geometry)
is foaf:primaryTopic of	wikipedia-en:Omnitruncation

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