An improved lower bound for star-shaped Kakeya sets
Year: 2026
Type: article
Abstract: In 1971, Cunningham proved that every star-shaped Kakeya set \(E\subset\mathbb{R}^2\) satisfies \(|E| \geq \pi/108\). In this paper, we show that Cunningham's bound is not optimal and can be improved to \(|E| \geq \pi/98\).
Source: Annales Fennici Mathematici
DOI: 10.54330/afm.185132
Author: Shaoqi Li
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Award: G7025268907
OpenAlex ID: W4414755212
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