Too Acute to Be True: The Story of Acute Sets

DOI10.1080/00029890.2019.1655311zbMath1430.51023OpenAlexW2991073480MaRDI QIDQ4972078

Balázs Gerencsér, Viktor Harangi

Publication date: 22 November 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1655311

zbMATH Keywords

antipodal setacute set

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Elementary problems in Euclidean geometries (51M04) Geometric constructions in real or complex geometry (51M15)

Related Items (1)

On the Cardinality of Sets in $R^d$ Obeying a Slightly Obtuse Angle Bound

Cites Work

• \((2,1)\)-separating systems beyond the probabilistic bound
• Some unsolved problems
• Minimale Durchmesser endlicher Punktmengen mit vorgeschriebenem Mindestabstand
• Sets of points determining only acute angles and some related colouring problems
• On sets of points that determine only acute angles
• Acute sets
• On the extremal combinatorics of the Hamming space
• Explicit constructions of centrally symmetric \(k\)-neighborly polytopes and large strictly antipodal sets
• Acute sets of exponentially optimal size
• Über zwei Probleme bezüglich konvexer Körper von P. Erdős und von V.L. Klee
• Strictly antipodal sets
• From Acute Sets to Centrally Symmetric 2-Neighborly Polytopes
• Acute Sets In Euclidean Spaces
• On 6-Point Configurations in 3-Space
• Extensions of Lipschitz mappings into a Hilbert space
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