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We show that the Voronoi conjecture is true for parallelohedra with simply connected $$\delta $$ δ -surfaces. That is, we show that if the boundary of parallelohedron $$P$$ P remains simply connected after removing closed nonprimitive faces of codimension 2, then $$P$$ P is affinely equivalent to a Dirichlet–Voronoi domain of some lattice. Also, we construct the $$\pi...
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