On the relative distances of eleven points in the boundary of a plane convex body

DOI10.1016/j.disc.2013.11.004zbMath1284.52004OpenAlexW2036799417MaRDI QIDQ393356

Xianglin Wei, Jian Shen, Sipeng Li, Zhanjun Su

Publication date: 17 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.disc.2013.11.004

zbMATH Keywords

relative distancehomothetyplane convex body

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (1)

On the relative distances of nine points in the boundary of a plane convex body

Cites Work

• On the relative distances of nine or ten points in the boundary of a plane convex body
• The relative lengths of sides of convex hexagons and octagons
• Self-packing of centrally symmetric convex bodies in \(\mathbb{R}{}^ 2\)
• On five points in the boundary of a plane convex body pairwise in at least unit relative distances
• On relatively short and long sides of convex pentagons
• On the relative distances of seven points in a plane convex body
• On the relative lengths of the sides of convex polygons
• On the relative lengths of sides of convex polygons
• On the relative distances of six points in a plane convex body
• On a conjecture about nine points in the boundary of a plane convex body at pairwise relative distances not greater than \({4 \sin \frac{\pi}{18}}\)
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