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The Nieuwland number of the Octahedron
Abstract
We prove that the Nieuwland number of the Octahedron is 3√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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BibTeX
@misc{steininger2026nieuwland,
title = {{The Nieuwland number of the Octahedron}},
author = {Jakob Steininger and Sergey Yurkevich},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10788},
eprint = {2609.10788},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10788},
}
RIS
TY - UNPB
TI - The Nieuwland number of the Octahedron
AU - Jakob Steininger
AU - Sergey Yurkevich
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.10788
UR - https://arxiv.org/abs/2609.10788
AB - We prove that the Nieuwland number of the Octahedron is 3√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.
ER -