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Found 28 Documents (Results 1–28)

On Voronoi’s conjecture for four- and five-dimensional parallelohedra. (English. Russian original) Zbl 1489.52012

Russ. Math. Surv. 77, No. 1, 174-176 (2022); translation from Usp. Mat. Nauk 77, No. 1, 185-186 (2022).
MSC:  52B11 52C07 52C22
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Fair partitioning by straight lines. (English) Zbl 1373.52003

Adiprasito, Karim (ed.) et al., Convexity and discrete geometry including graph theory. Mulhouse, France, September 1–11, 2014. Cham: Springer (ISBN 978-3-319-28184-1/hbk; 978-3-319-28186-5/ebook). Springer Proceedings in Mathematics & Statistics 148, 161-165 (2016).
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Uniqueness theorem for locally antipodal Delaunay sets. (English. Russian original) Zbl 1365.52020

Proc. Steklov Inst. Math. 294, 215-221 (2016); translation from Tr. Mat. Inst. Steklova 294, 230-236 (2016).
MSC:  52C07 06B75 20H15
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The family of bi-Lipschitz classes of Delone sets in Euclidean space has the cardinality of the continuum. (English. Russian original) Zbl 1301.51015

Proc. Steklov Inst. Math. 275, 78-89 (2011); translation from Tr. Mat. Inst. Steklova 275, 87-98 (2011).
MSC:  51K05 51M05 03E17
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