TOPICS
An 
polytope is a polytope
having the symmetry of the exceptional simple Lie groups 
of dimension 248. There are 255 uniform polytopes with 
symmetry in 8 dimensions. The simplest
of these are summarized in the following table.
| polytope | vertex count |
 | 240 |
 | 2160 |
 | 17280 |
The skeleton of the Gosset polytope 
,
also called the 
root polytope, is implemented in Wolfram
Language as GraphData["421PolytopeGraph"].
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