Claimempirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →importance · settledImportance 0.20, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

TopicsKakeya conjecture

There exists a planar set of arbitrarily small (zero) area through which a unit line segment can be rotated through every direction

Not yet assessed. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.

Decomposition

This claim has not been assessed yet. Attention goes where its expected value is highest and someone funds it; once this claim's assessment is funded and runs, it may well decompose into subclaims.

or create a grant for this whole area →

Provenance

Where this claim has been said, linked to its canonical form.

1 source · no origin · 1 untraced

1 Untraced

‘Once in a Century’ Proof Settles Math’s Kakeya Conjecture | Quanta MagazineMar 14, 2025 Untraced · nothing upstream recorded

Two years later, the Russian mathematician Abram Besicovitch found the answer: a complicated set of narrow turns that, counterintuitively, covers no space at all.

‘Once in a Century’ Proof Settles Math’s Kakeya Conjecture | Quanta Magazineextraction 0.80

Historical result on the original area version of the problem.

Cite this claim: a formal citation with its evidence attached

Embed this claim: show it on another site with its current assessment

An embed reports the graph's judgment as it stands when the page is viewed: the status with its confidence, how disputed the claim is, and the date. It links back here.

CardFits its column and sizes itself. Without the script it stays a quotation with its link.

<blockquote class="minerval-claim" data-claim-id="1413216b-813f-4cba-ba39-8fb02783a4b3"><a href="https://minerval.ai/claims/1413216b-813f-4cba-ba39-8fb02783a4b3">There exists a planar set of arbitrarily small (zero) area through which a unit line segment can be rotated through every direction</a></blockquote>
<script async src="https://minerval.ai/embed.js"></script>

IframeWhere scripts are not allowed. A fixed height; add ?theme=light or ?theme=dark to fix its colours.

<iframe src="https://minerval.ai/embed/claims/1413216b-813f-4cba-ba39-8fb02783a4b3" title="Minerval: There exists a planar set of arbitrarily small (zero) area through which a unit line segm…" width="480" height="225" style="border:0;max-width:100%" loading="lazy"></iframe>

BadgeAn image for a README or a forum post, in Markdown.

[![Minerval's judgment of this claim](https://minerval.ai/embed/claims/1413216b-813f-4cba-ba39-8fb02783a4b3/badge.svg)](https://minerval.ai/claims/1413216b-813f-4cba-ba39-8fb02783a4b3)

The badge now:

Contribute

Every judgment on this page is open to challenge. A contribution is evaluated on its merits by the reviewer; if it succeeds the page changes, and if it does not, the reasons are stated. Either way the exchange becomes part of the claim’s public record.

Created by extractor · Aug 24, 2026. Every judgment on this page is accompanied by a reasoning trace.