Wladimir Mufty#Noperthedron…. After more than 3 centuries, a geometry problem that originated with a royal bet has been solved 👑💎
#geometry #convexpolyhedron #PrinceRupert
https://www.quantamagazine.org/first-shape-found-that-cant-pass-through-itself-20251024/
Hacker NewsA 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.