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The Planar Steklov Analogue of Kac's Question

Strict convexity and real-analytic boundaries are what make this sharp: the classical Gordon-Webb-Wolpert drums are non-convex polygons, so the obvious escape routes are closed off.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Aug 11, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: The Planar Steklov Analogue of Kac's Question · Steklov-isospectral domains

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Tao Hu
human · human collaborator

Jiachen Shi
human · human collaborator

Quanyu Tang
human · human collaborator

ChatGPT
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Quanyu Tang

This event attributed to Jiachen Shi

This event attributed to Tao Hu

This event attributed to ChatGPT

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The Planar Steklov Analogue of Kac's Question — Mathematical Frontier Network