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- 1_42_polytope abstract "In 8-dimensional geometry, the 142 is a uniform 8-polytope, constructed within the symmetry of the E8 group.Coxeter named it 142 by its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 1-node sequences.The rectified 121 is constructed by points at the mid-edges of the 142 and is the same as the birectified 241, and the quadrirectified 421.These polytopes are part of a family of 255 (28 − 1) convex uniform polytopes in 8-dimensions, made of uniform polytope facets and vertex figures, defined by all permutations of rings in this Coxeter-Dynkin diagram: File:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel branch.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.png.".
- 1_42_polytope thumbnail 4_21_t0_E6.svg?width=300.
- 1_42_polytope wikiPageExternalLink productCd-0471010030.html.
- 1_42_polytope wikiPageID "19091290".
- 1_42_polytope wikiPageRevisionID "550036613".
- 1_42_polytope hasPhotoCollection 1_42_polytope.
- 1_42_polytope subject Category:8-polytopes.
- 1_42_polytope comment "In 8-dimensional geometry, the 142 is a uniform 8-polytope, constructed within the symmetry of the E8 group.Coxeter named it 142 by its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 1-node sequences.The rectified 121 is constructed by points at the mid-edges of the 142 and is the same as the birectified 241, and the quadrirectified 421.These polytopes are part of a family of 255 (28 − 1) convex uniform polytopes in 8-dimensions, made of uniform polytope facets and vertex figures, defined by all permutations of rings in this Coxeter-Dynkin diagram: File:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel branch.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.png.".
- 1_42_polytope label "1 42 polytope".
- 1_42_polytope sameAs m.04jdwnn.
- 1_42_polytope sameAs Q4595919.
- 1_42_polytope sameAs Q4595919.
- 1_42_polytope wasDerivedFrom 1_42_polytope?oldid=550036613.
- 1_42_polytope depiction 4_21_t0_E6.svg.
- 1_42_polytope isPrimaryTopicOf 1_42_polytope.