2 21 polytope
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. It is also called the Schläfli polytope. Its Coxeter symbol is 221, describing 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.
1 22 polytope2 22 honeycomb2 31 polytope2 41 polytope2 51 honeycomb3 21 polytope3 31 honeycomb4 21 polytope5-demicube5 21 honeycomb6-polytopeComplex polytopeCoxeter groupDodecagonE6 polytopeEmanuel Lodewijk ElteGosset 2 21 polytopeGosset–Elte figuresHessian polyhedronList of mathematical shapesList of polygons, polyhedra and polytopesPolytope familiesRectified 2 21Rectified 2 21 polytopeRectified 5-cellSemiregular polytopeSix-dimensional spaceThorold GossetTruncated 2 21Truncated 2 21 polytopeUniform 2 k1 polytopeUniform 6-polytopeUniform k 21 polytope
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2 21 polytope
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. It is also called the Schläfli polytope. Its Coxeter symbol is 221, describing 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.
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En geometrio, E6 hiperpluredro ...... nas al duonregula k21 familio.
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In 6-dimensional geometry, the ...... this Coxeter-Dynkin diagram: .
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En geometrio, E6 hiperpluredro ...... nas al duonregula k21 familio.
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In 6-dimensional geometry, the ...... ence with the vertices of 221.
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2 21 polytope
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E6 hiperpluredro
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