Abstract

A parallelotope $P$ is called free along a line $l$ of the ambient space if the Minkowski sum of $P$ with a segment of the line $l$ is a parallelotope. We prove that the Voronoi conjecture is true for a free parallelotope $P$ along $l$ and its projection along the line $l$ if each 4-belt of $P$ has either 0 or 4 facets parallel to $l$.

Keywords

Mathematical Subject Classification 2010

Milestones

Authors