Saturated packings and reduced coverings obtained by perturbing tilings

DOI10.1016/J.DISC.2009.03.026zbMath1207.52018OpenAlexW2029784594MaRDI QIDQ1044982

Christian Richter, Aicke Hinrichs

Publication date: 15 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.03.026

zbMATH Keywords

perturbationnormed spacetiling\(k\)-reduced covering\(k\)-saturated packingcompletely reduced coveringcompletely saturated packing

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Combinatorial aspects of packing and covering (05B40)

Cites Work

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• On packing squares with equal squares
• Highly saturated packings and reduced coverings
• On the existence of completely saturated packings and completely reduced coverings
• Lattice packings with gap defects are not completely saturated
• Tilings, packings, coverings, and the approximation of functions

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