Unions of regular polygons with large perimeter-to-area ratio

DOI10.1007/s00454-015-9688-8zbMath1325.51017arXiv1402.5452OpenAlexW3106271972MaRDI QIDQ2351023

Viktor Kiss, Zoltán Vidnyánszky

Publication date: 26 June 2015

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5452

zbMATH Keywords

polygonsquaregeometric optimisationKeletifinite unionperimeter-to-area

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Inequalities and extremum problems in real or complex geometry (51M16)

Uses Software

• JTS Topology Suite
• MathOverflow

Cites Work

• Differentiation properties of the perimeter-to-area ratio for finitely many overlapped unit squares
• The ratio of the perimeter and the area of unions of copies of a fixed set
• Unnamed Item

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