Thinnest covering of the Euclidean plane with incongruent circles

DOI10.1515/agms-2017-0002zbMath1386.52018OpenAlexW2607457343MaRDI QIDQ1689539

Dietmar Dorninger

Publication date: 12 January 2018

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/agms-2017-0002

zbMATH Keywords

upper and lower boundsnumerical verificationminimum densitycircular discscovering of the plane

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15)

Related Items (3)

Algorithms for constructing suboptimal coverings of plane figures with disks in the class of regular lattices ⋮ On Multiple Coverings of Fixed Size Containers with Non-Euclidean Metric by Circles of Two Types ⋮ On covering bounded sets by collections of circles of various radii

Cites Work

• Überdeckung der Ebene durch inkongruente Kreise
• Covering the plane with two kinds of circles
• Überdeckung der Ebene durch inkongruente Kreise. (Eine Bemerkung zu einer Arbeit von Fejes Toth und Molnar)
• Covering of the plane by circles
• Unterdeckung und Überdeckung der Ebene durch Kreise Dem Andenken an Professor H. L. Schmid gewidmet
• Zum Problem der dünnsten Kreisüberdeckung der Ebene
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