At just 17 years old, Connor Hill from Port Matilda, Pennsylvania, has achieved a remarkable feat, solving a long-standing problem in three-dimensional geometry. Using a custom-built computer program, Hill successfully classified every possible version of a rare group of shapes known as noble polyhedra, earning him the top prize of $250,000 (approximately ₹2.39 crore) at the prestigious 2026 Regeneron Science Talent Search.
Cracking a Complex Mathematical Mystery
Polyhedra are three-dimensional shapes composed of flat polygonal faces and straight edges, with familiar examples including cubes and pyramids. A special class, noble polyhedra, possess a high degree of symmetry: every face must be identical, and every vertex (corner) must have the same arrangement of faces. Unlike simpler Platonic solids, noble polyhedra can be considerably more intricate, often featuring unusual or even self-intersecting forms, which made their complete classification a formidable mathematical challenge.
Prior to Hill's work, mathematicians had identified two infinite families of noble polyhedra. However, the precise number of individual, isolated examples remained unknown. By 2020, researchers had confirmed 61 isolated examples, but the potential for more complex, undiscovered symmetrical combinations suggested that the full count was yet to be determined.
A Computational Approach to Geometry
Hill's innovative solution involved creating a computer program designed to systematically examine potential geometric arrangements. Instead of directly sifting through an endless array of three-dimensional shapes, he ingeniously translated the problem into algebraic equations, including polynomial equations. This transformation reduced the problem to a finite, computationally verifiable set of possibilities. His exhaustive search conclusively established that there are exactly 146 isolated noble polyhedra, in addition to the two previously known infinite families.
"By translating the problem into a different mathematical framework, I could narrow it down to a finite set that could actually be solved," Hill explained regarding his methodology.
Hill emphasizes that the significance of mathematics extends beyond solving individual puzzles. He believes mathematical thinking provides a framework for breaking down complex scientific questions. Dr. Henry Wei, Executive Director of Development Innovation at Regeneron, noted the similarity between Hill's problem-solving approach and methods used in modern biomedical research, such as studying protein folding or drug interactions.
Recognizing Young Scientific Talent
The Regeneron Science Talent Search, one of the oldest and most respected science and mathematics competitions for high school seniors in the United States, awarded over $1.8 million to 40 finalists in 2026. The black-tie ceremony at the National Building Museum in Washington, D.C., highlighted the exceptional achievements of these young innovators.
Other notable winners included 17-year-old Edward Kang of Hackensack, New Jersey, who secured second place and $175,000 for developing RetinaMind, an AI screening tool to identify blood vessel patterns linked to autism and ADHD. Third place, with a $150,000 prize, went to 17-year-old Iris Shen from The Woodlands, Texas, for her research into potential blood cancer treatments using clams as a testing model.
Maya Ajmera, President and CEO of Society for Science, lauded the finalists, stating, "Their bold vision and perseverance reveal what the next generation of problem solvers truly looks like and why our future is in capable hands." Regeneron, extending its sponsorship through 2036 with a $150 million pledge, continues to support STEM education, underscoring the importance of nurturing young researchers.
For Connor Hill, the next chapter will begin at the Massachusetts Institute of Technology (MIT) in the autumn, where he plans to pursue computational mathematics, building on his extraordinary accomplishments in the field of geometry.