On two special classes of parallelohedra in \(E^6\)

DOI10.1107/S2053273319001359WikidataQ91662494 ScholiaQ91662494MaRDI QIDQ6547553

P. Engel

Publication date: 30 May 2024

Published in: Acta Crystallographica. Section A (Search for Journal in Brave)

zbMATH Keywords

parallelohedratranslation lattices\(\Sigma\)-subconescone of positive quadratic forms

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15)

Cites Work

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• The enumeration of four-dimensional polytopes
• New applications of continuous parameters in the theory of quadratic forms. II: Investigations on primitive parallelepipeds.
• The classification of zonohedra by means of projective diagrams
• The contraction types of parallelohedra inE⁵
• Über die Reduction der positiven quadratischen Formen mit drei unbestimmten ganzen Zahlen.
• Voronoi Domains and Dual Cells in the Generalized Kaleidoscope with Applications to Root and Weight Lattices
• On the enumeration of the combinatorial types of primitive parallelohedra inE^d, 2 ≤d≤ 6

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