Geometry of lifts of tilings of Euclidean spaces

DOI10.1134/S0081543815010046zbMath1322.52015arXiv1501.06088OpenAlexW2054342486MaRDI QIDQ492203

A. A. Gavrilyuk

Publication date: 20 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06088

zbMATH Keywords

Voronoi conjecturelifts of tilingstiling by parallelotopes

Mathematics Subject Classification ID

Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (2)

An analog of Ordin’s theorem for parallelotopes ⋮ The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces

Cites Work

• Properties of faces of parallelohedra
• Zonotopes, dicings, and Voronoi's conjecture on parallelohedra
• Duality, sections and projections of certain euclidean tilings
• The theory of quality translations with applications to tilings
• Properties of parallelotopes equivalent to Voronoi's conjecture
• The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces
• Voronoi's conjecture for extensions of Voronoi parallelohedra
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