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math.GT2003
On simplicial and cubical complexes with short links
Michel Deza, Mathieu Dutour, Mikhail Shtogrin
We consider closed simplicial and cubical -complexes in terms of link of their -faces. Especially, we consider the case, when this link has size 3 or 4, i.e., every $(n-2…
math.MG2003★ 1 cited
Once more about the 52 four-dimensional parallelotopes
Michel Deza, Viacheslav Grishukhin
There are several works \cite{De} (and \cite{St}), \cite{En}, \cite{Co} and \cite{Va} enumerating four-dimensional parallelotopes. In this work we give a new enumeration showing th…
math.MG2003★ 1 cited
Properties of parallelotopes equivalent to Voronoi's conjecture
Michel Deza, Viacheslav Grishukhin
A parallelotope is a polytope whose translation copies fill space without gaps and intersections by interior points. Voronoi conjectured that each parallelotope is an affine image…