E7 polytope - meaning and definition. What is E7 polytope
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What (who) is E7 polytope - definition


E7 polytope         
WIKIMEDIA LIST ARTICLE
E₇ polytope; List of E7 polytopes; List of 3 21 polytopes
In 7-dimensional geometry, there are 127 uniform polytopes with E7 symmetry. The three simplest forms are the 321, 231, and 132 polytopes, composed of 56, 126, and 576 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.