First Shape Found That Can't Pass Through Itself

Mathematicians have identified the first shape that cannot pass through itself, named the Noperthedron. This discovery was made by Jakob Steininger and Sergey Yurkevich in a recent paper. The Noperthedron is a complex shape with 90 vertices and 152 faces. Its creation resolves a mathematical puzzle dating back to the late 1600s. Prince Rupert of the Rhine demonstrated that one cube could slide through another. This property was later mathematically confirmed by John Wallis in 1693. The ability for a shape to pass through itself is known as the Rupert property. While many symmetric polyhedra, like the tetrahedron, octahedron, dodecahedron, and icosahedron, possess this property, the Noperthedron does not. Researchers had previously conjectured that all convex polyhedra would have the Rupert property. Steininger and Yurkevich systematically analyzed a vast number of spatial orientations to confirm the Noperthedron's unique characteristic. The Noperthedron is comprised of 150 triangular faces and two regular 15-sided polygonal faces.