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- 2_21_polytope abstract "In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 6-ic semi-regular figure.Coxeter named it 221 by its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of one of the 2-node sequences. He also studied its connection with the 27 lines on the cubic surface, which are naturally in correspondence with the vertices of 221.The rectified 221 is constructed by points at the mid-edges of the 221. The birectified 221 is constructed by points at the triangle face centers of the 221, and is the same as the rectified 122.These polytopes are a part of family of 39 convex uniform polytopes in 6-dimensions, made of uniform 5-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.png.".
- 2_21_polytope thumbnail Up_2_21_t0_E6.svg?width=300.
- 2_21_polytope wikiPageExternalLink productCd-0471010030.html.
- 2_21_polytope wikiPageID "19232473".
- 2_21_polytope wikiPageRevisionID "568207385".
- 2_21_polytope hasPhotoCollection 2_21_polytope.
- 2_21_polytope subject Category:6-polytopes.
- 2_21_polytope comment "In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 6-ic semi-regular figure.Coxeter named it 221 by its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of one of the 2-node sequences.".
- 2_21_polytope label "2 21 polytope".
- 2_21_polytope sameAs m.04lfshk.
- 2_21_polytope sameAs Q4633288.
- 2_21_polytope sameAs Q4633288.
- 2_21_polytope wasDerivedFrom 2_21_polytope?oldid=568207385.
- 2_21_polytope depiction Up_2_21_t0_E6.svg.
- 2_21_polytope isPrimaryTopicOf 2_21_polytope.