Deformation spaces of Coxeter truncation polytopes

A convex polytope P $P$ in the real projective space with reflections facets of is a Coxeter if generate subgroup Γ $\Gamma$ group transformations so that -translates interior are mutually disjoint. It follows from work Vinberg polytope, then Ω $\Omega$ -orbit and acts properly discontinuously on . 2 $\hskip.001pt 2$ -perfect ∖ $P \smallsetminus \Omega$ consists only some vertices In this paper, we describe deformation spaces polytopes dimensions d ⩾ 4 $d \geqslant 4$ same dihedral angles when underlying truncation is, obtained simplex by successively truncating vertices. The = 3 3$ were studied, respectively, Goldman third author.