Heilbronn's problem of eight points in the square

DOI10.1007/s11424-022-1220-7OpenAlexW4312221011MaRDI QIDQ6076812

Zhenbing Zeng, Lydia Dehbi

Publication date: 22 September 2023

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-022-1220-7

zbMATH Keywords

symbolic computationsoptimal configurationglobal searchHeilbronn problemsmallest triangle area

Mathematics Subject Classification ID

Nonlinear programming (90C30) Length, area and volume in real or complex geometry (51M25)

Cites Work

• Developments in Heilbronn's triangle problem
• The on-line Heilbronn's triangle problem
• The on-line Heilbronn's triangle problem in \(d\) dimensions
• A Lower Bound for Heilbronn's Triangle Problem in d Dimensions
• On the Heilbronn Optimal Configuration of Seven Points in the Square
• On Heilbronn's Triangle Problem
• A Lower Bound for Heilbronn'S Problem
• An Algorithm for Heilbronn's Problem
• The average‐case area of Heilbronn‐type triangles*
• On a Problem of Heilbronn†
• Maximizing the Smallest Triangle Made by N Points in a Square
• On a Problem of Heilbronn, II
• On a Problem of Heilbronn, III
• On a Problem of Heilbronn
• New lower bounds for Heilbronn numbers
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