File: reg24-5.ext

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* The vertices of a self-dual 4-dim regular polytope
* with 24 octahedron facets.  
* We use hull option to compute all (24) facet inequalities.
V-representation
begin
  24  5  integer
 1  1  1  1  1
 1  1  1  1 -1
 1  1  1 -1  1
 1  1  1 -1 -1
 1  1 -1  1  1
 1  1 -1  1 -1
 1  1 -1 -1  1
 1  1 -1 -1 -1
 1 -1  1  1  1
 1 -1  1  1 -1
 1 -1  1 -1  1
 1 -1  1 -1 -1
 1 -1 -1  1  1
 1 -1 -1  1 -1
 1 -1 -1 -1  1
 1 -1 -1 -1 -1
 1  2  0  0  0
 1  0  2  0  0
 1  0  0  2  0
 1  0  0  0  2
 1 -2  0  0  0
 1  0 -2  0  0
 1  0  0 -2  0
 1  0  0  0 -2
end