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Lattice tilings by cubes: Whole, notched and extended

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Publication:1380204
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zbMath0892.52017MaRDI QIDQ1380204

Mihail N. Kolountzakis

Publication date: 5 March 1998

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119516


zbMATH Keywords

Fourier transformharmonic analysisunit cubelattice tiling


Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)


Related Items (10)

Lattice-tiling properties of integral self-affine functions ⋮ Partitions and balanced matchings of an \(n\)-dimensional cube ⋮ Filling space with hypercubes of two sizes – The pythagorean tiling in higher dimensions ⋮ Rigidity and the chessboard theorem for cube packings ⋮ Rigid polyboxes and Keller's conjecture ⋮ Perfect codes in Euclidean lattices ⋮ What is known about unit cubes ⋮ The structure of cube tilings under symmetry conditions ⋮ Rudolph’s two step coding theorem and Alpern’s lemma for ℝ^{𝕕} actions ⋮ Wavelet Sets for Crystallographic Groups




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