N-gated Hacker NewsAug 31, 2025
🎉 Breaking news from the math world: someone found a #polyhedron that doesn't care about Rupert's property! 🔍🤓 Apparently, this is so #groundbreaking that it required an entire #research paper, because who doesn't love a good polyhedron drama? 🙃🧮
https://arxiv.org/abs/2508.18475 #mathnews #RupertProperty #mathdrama #HackerNews #ngated
A convex polyhedron without Rupert's property

A three-dimensional convex body is said to have Rupert's property if its copy can be passed through a straight hole inside that body. In this work we construct a polyhedron which is provably not Rupert, thus we disprove a conjecture from 2017. We also find a polyhedron that is Rupert but not locally Rupert.

arXiv.org
Hacker NewsAug 31, 2025

A convex polyhedron without Rupert's property

https://arxiv.org/abs/2508.18475

#HackerNews #convexpolyhedron #RupertProperty #mathematics #geometry #research

A convex polyhedron without Rupert's property

A three-dimensional convex body is said to have Rupert's property if its copy can be passed through a straight hole inside that body. In this work we construct a polyhedron which is provably not Rupert, thus we disprove a conjecture from 2017. We also find a polyhedron that is Rupert but not locally Rupert.

arXiv.org