17-year-old wins $250,000 for classifying complex geometric shapes

Connor Hill, a 17-year-old student from State College, Pennsylvania, has claimed the prestigious $250,000 top prize at the 2026 Regeneron Science Talent Search. His groundbreaking work involved creating a custom computer algorithm to classify a complex group of three-dimensional shapes known as noble polyhedra.

Hill's computational proof successfully identified two infinite structural families and precisely 146 isolated examples of these geometric forms. Noble polyhedra are characterized by a high degree of symmetry, where every face has the same shape and every corner has the same arrangement of faces. While mathematicians had previously identified two infinite families, the complete list of isolated shapes remained elusive.

To tackle this challenge, Hill devised a computer program that systematically examined all possible geometric arrangements. By translating the geometry problem into algebraic equations, he reduced the complexity to a finite set of possibilities that could be exhaustively checked. This innovative approach allowed him to definitively determine the exact number of isolated noble polyhedra.

Beyond solving this long-standing geometry problem, Hill believes his methodology holds promise for applications in other scientific and mathematical domains. His achievement highlights the significant contributions young minds can make to complex scientific research.

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