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arXiv · 1509.08279

On Delaunay's classification theorem on faces of parallelohedra of codimension three

Alexander Magazinov
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Abstract

In 1929 B.~N.~Delaunay proved that there are exactly 5 types of coincidence of parallelohedra at faces of codimension 3. We give a combinatorial proof of this theorem and prove several additional statements on three-codimensional faces of parallelohedral tiling. -- The original paper appeared in 2013 in MAIS (see the bibref) and was in Russian. This is the English version.

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Alexander Magazinov. 2015-09-28. On Delaunay's classification theorem on faces of parallelohedra of codimension three. https://arxiv.org/abs/1509.08279

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