Connor Hill: The Teenager Who Finished a Century-Old Census of Shapes
Some mathematical questions are hard because they are abstract. Others are hard because they are vast — the answer hides somewhere in an ocean of possibilities too large for any human to wade through. The classification of noble polyhedra was both. In 2026, a 17-year-old from State College, Pennsylvania, finished the job — and won America's most prestigious young-science prize for it.
What Is a Noble Polyhedron?
A noble polyhedron is a shape with a rare double symmetry: every face is like every other face, and every corner is like every other corner. The five Platonic solids qualify, and mathematicians since the nineteenth century — notably Edmund Hess and Max Brückner — had hunted for the rest, finding strange, self-intersecting specimens along the way. But a complete census never existed. Two infinite families were known; how many isolated others existed was an open question for over a century.
The Program That Settled It
Connor Hill, a high-school senior from Port Matilda in central Pennsylvania, attacked the problem the modern way: he wrote a computer program that worked through all the conceivable ways to build a noble polyhedron. The search was exhaustive, the logic airtight. His conclusion: in addition to the two known infinite families, there are exactly 146 noble polyhedra. Not approximately. Exactly.
The $250,000 Verdict
In March 2026, the Society for Science named Hill the first-place winner of the Regeneron Science Talent Search — the competition once known as the Westinghouse, whose alumni include more than a dozen Nobel laureates. He took home $250,000, chosen from 40 finalists honored at the National Building Museum in Washington, D.C., in the contest's 85th anniversary year. The judges' citation praised exactly what classification problems demand: analytical rigor and problem-solving of exceptional depth.
Why This Matters
Mathematical maturity at seventeen is not measured by grades but by the ability to take an unsolved problem, build the machinery to attack it, and close it. Hill did precisely that — joining a line of Science Talent Search winners who went on to reshape American science. Geometry's oldest census is finally complete, and the mathematician who completed it cannot yet vote.
Achievements
- Won first place and $250,000 at the 2026 Regeneron Science Talent Search, the United States' oldest and most prestigious science and math competition for high school seniors, in its 85th anniversary y
- Completed the classification of noble polyhedra — polyhedra whose faces are all alike and whose vertices are all alike — proving there are exactly 146 in addition to the two known infinite families.
- Designed and wrote the original computer search program that exhaustively enumerated every conceivable construction of a noble polyhedron.
- Selected as one of 40 finalists from the nation's top young scientists, honored at the National Building Museum in Washington, D.C.
