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math.MG2013
On a problem by Dol'nikov
Jesús Jerónimo-Castro, Alexander Magazinov, Pablo Soberón
In 2011 at an Oberwolfach workshop in Discrete Geometry, V. Dol'nikov posed the following problem. Consider three non-empty families of translates of a convex compact set in th…
math.MG2013
A criterion of reducibility for a parallelohedron
Andrei Ordine, Alexander Magazinov
A parallelohedron is called reducible, if it can be represented as a direct product of two parallelohedra of lower dimension. In his Ph.D. thesis (2005) the first author proved a c…