Hasty Briefsbeta

A convex polyhedron without Rupert's property

11 days ago
https://arxiv.org/abs/2508.18475
Copy Link
  • #Rupert's Property
  • #Metric Geometry
  • #Convex Polyhedron
  • A three-dimensional convex body has Rupert's property if a copy can pass through a straight hole inside it.
  • A polyhedron without Rupert's property is constructed, disproving a 2017 conjecture.
  • A polyhedron that is Rupert but not locally Rupert is also identified.
AboutLogin