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Mathematicians Create Unique 180-Sided Shape, Noperthedron

11/7/2025

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Summary

Story summary

Jakob Steininger and Sergey Yurkevich developed the Noperthedron, a 180-sided shape that cannot pass through an identical shape.
The work follows a 300-year-old bet between Prince Rupert of the Rhine and John Wallis about Rupert property.
They used simulations that ruled out every position for the Noperthedron relative to another.
The Noperthedron is the first confirmed shape of its kind.
Steininger and Yurkevich plan to continue exploring similar mathematical challenges.

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Story summary

Jakob Steininger and Sergey Yurkevich developed the Noperthedron, a 180-sided shape that cannot pass through an identical shape.
The work follows a 300-year-old bet between Prince Rupert of the Rhine and John Wallis about Rupert property.
They used simulations that ruled out every position for the Noperthedron relative to another.
The Noperthedron is the first confirmed shape of its kind.
Steininger and Yurkevich plan to continue exploring similar mathematical challenges.