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- 3_21_polytope abstract "In 7-dimensional geometry, the 321 polytope is a uniform 7-polytope, constructed within the symmetry of the E7 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 7-ic semi-regular figure.Coxeter named it 321 by its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of one of the 3-node sequences.The rectified 321 is constructed by points at the mid-edges of the 321. The birectified 321 is constructed by points at the triangle face centers of the 321. The trirectified 321 is constructed by points at the tetrahedral centers of the 321, and is the same as the rectified 132.These polytopes are part of a family of 127 (27-1) convex uniform polytopes in 7-dimensions, made of uniform 6-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.png.".
- 3_21_polytope thumbnail Up2_3_21_t0_E6.svg?width=300.
- 3_21_polytope wikiPageExternalLink productCd-0471010030.html.
- 3_21_polytope wikiPageID "19236353".
- 3_21_polytope wikiPageRevisionID "553134721".
- 3_21_polytope hasPhotoCollection 3_21_polytope.
- 3_21_polytope subject Category:7-polytopes.
- 3_21_polytope comment "In 7-dimensional geometry, the 321 polytope is a uniform 7-polytope, constructed within the symmetry of the E7 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 7-ic semi-regular figure.Coxeter named it 321 by its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of one of the 3-node sequences.The rectified 321 is constructed by points at the mid-edges of the 321.".
- 3_21_polytope label "3 21 polytope".
- 3_21_polytope sameAs m.04lg236.
- 3_21_polytope sameAs Q4636457.
- 3_21_polytope sameAs Q4636457.
- 3_21_polytope wasDerivedFrom 3_21_polytope?oldid=553134721.
- 3_21_polytope depiction Up2_3_21_t0_E6.svg.
- 3_21_polytope isPrimaryTopicOf 3_21_polytope.