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The Nieuwland number of the Octahedron

Published 9 Sep 2026 in math.MG | (2609.10788v1)

Abstract: We prove that the Nieuwland number of the Octahedron is 32/43\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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