E6 polytope - meaning and definition. What is E6 polytope
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What (who) is E6 polytope - definition


E6 polytope         
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WIKIMEDIA LIST ARTICLE
E₆ polytope; List of E6 polytopes; List of 2 21 polytopes
In 6-dimensional geometry, there are 39 uniform polytopes with E6 symmetry. The two simplest forms are the 221 and 122 polytopes, composed of 27 and 72 vertices respectively.
Integral polytope         
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CONVEX POLYTOPE WHOSE VERTICES ALL HAVE INTEGER CARTESIAN COORDINATES
Convex lattice polytope
In geometry and polyhedral combinatorics, an integral polytope is a convex polytope whose vertices all have integer Cartesian coordinates. That is, it is a polytope that equals the convex hull of its integer points.
1 22 polytope         
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  • Orthographic projection in Aut(E6) Coxeter plane with 18-gonal symmetry for complex polyhedron, <sub>3</sub>{3}<sub>3</sub>{4}<sub>2</sub>. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces.
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UNIFORM 6-POLYTOPE
Gosset 1 22 polytope; Rectified 1 22 polytope; Birectified 2 21 polytope; Birectified 1 22 polytope; 0 221 polytope; Rectified 1 22; Birectified 1 22; Bicantellated 2 21; Truncated 1 22; Truncated 1 22 polytope
In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group. It was first published in E.