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South Korean teenager uses AI to solve decades-old geometry puzzle

A 15-year-old student from South Korea claims to have proven that a 62-faced polyhedron cannot pass through an identical hole in itself, using artificial intelligence assistance. The mathematical finding has not yet undergone peer review.

LSN Vietnam · 18 October 2026

South Korean teenager uses AI to solve decades-old geometry puzzle

The ninth-grade student employed Anthropic's Claude artificial intelligence system to develop what he describes as a proof addressing a longstanding question in geometry. The claim centers on whether a specific 62-faced solid shape could theoretically be maneuvered through a hole matching its own profile, a problem that has intrigued mathematicians for years.

Using AI as a collaborative tool, the teenager worked through the mathematical reasoning required to demonstrate that such a passage would be geometrically impossible. The approach represents a growing trend of students and researchers leveraging advanced language models to assist with complex problem-solving across scientific disciplines.

However, the proof remains preliminary without formal peer review from the mathematics community. Academic verification would typically involve examination by established mathematicians and publication in recognized journals to confirm the validity of the claims and methods employed.

The case highlights the emerging role of AI systems in educational settings and mathematical research, particularly among younger students exploring sophisticated geometric and topological problems. Whether the finding will ultimately contribute to peer-reviewed mathematical literature depends on further scrutiny from the academic community.