Enter a word or phrase in any language 👆
Language:
Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
- word translation options
- usage examples (several phrases with translation)
- etymology
What (who) is E8 polytope - definition
E8 polytope
In 8-dimensional geometry, there are 255 uniform polytopes with E8 symmetry. The three simplest forms are the 421, 241, and 142 polytopes, composed of 240, 2160 and 17280 vertices respectively.
E8 (mathematics)
![root poset]] with edge labels identifying added simple root position](https://commons.wikimedia.org/wiki/Special:FilePath/E8HassePoset.svg?width=200 "root poset]] with edge labels identifying added simple root position")
248-DIMENSIONAL EXCEPTIONAL SIMPLE LIE GROUP
E8 (group); E8 (Mathematics); Lie group E8; E8 shape; E₈ (mathematics); E₈; E8 Lie group; E8 Lie algebra
In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8. The designation E8 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled An, Bn, Cn, Dn, and five exceptional cases labeled G2, F4, E6, E7, and E8.
Integral polytope
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.
