Kakeya needle problem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:category gptkb:puzzle
unsolved problems in mathematics
gptkbp:field gptkb:geometry
mathematical analysis
gptkbp:generalizes gptkb:Kakeya_conjecture
https://www.w3.org/2000/01/rdf-schema#label Kakeya needle problem
gptkbp:influenced harmonic analysis
geometric measure theory
gptkbp:namedAfter gptkb:Soichi_Kakeya
gptkbp:notableAchievement Besicovitch showed the area can be made arbitrarily small
gptkbp:proposedBy 1917
gptkbp:relatedTo gptkb:Besicovitch_set
gptkb:Kakeya_set
gptkbp:type What is the smallest area in which a unit line segment can be rotated through 360 degrees?
gptkbp:bfsParent gptkb:Soichi_Kakeya
gptkb:Kakeya_set
gptkbp:bfsLayer 7