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arXiv · 2609.10788

The Nieuwland number of the Octahedron

Jakob Steininger·Sergey Yurkevich
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Abstract

We prove that the Nieuwland number of the Octahedron is $3\sqrt{2}/4$. Along the way, we provide an elementary proof that Rupert's problem for the Octahedron admits no solution in which the outer projection is a hexagon.

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Jakob Steininger, Sergey Yurkevich. 2026-09-09. The Nieuwland number of the Octahedron. https://arxiv.org/abs/2609.10788

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