Oct 2, 2022 � Abstract:A polyhedron is Rupert if it is possible to cut a hole in it and thread an identical polyhedron through the hole.

A polyhedron is Rupert if it is possible to cut a hole in it and thread an identical polyhedron through the hole.

A convex polyhedron 1 is said to have the Rupert property (or to “be Rupert”) if it is possible to cut a hole in it and thread another identical polyhedron�...

Oct 6, 2023 � Abstract. A polyhedron is Rupert if it is possible to cut a hole in it and thread an identical polyhedron through the hole.

Jan 30, 2023 � We also design a probabilistic algorithm which can efficiently prove that a given polyhedron is Rupert. Using this algorithm we not only confirm.

We also design a probabilistic algorithm which can efficiently prove that a given polyhedron is Rupert. Using this algorithm we not only confirm this property�...

It is proved that Rupert's problem is algorithmically decidable for polyhedra with algebraic coordinates and a probabilistic algorithm is designed

Optimizing for the Rupert property. A Fredriksson. The American Mathematical Monthly 131 (3), 255–261, 2024 � Treatment planning of scanned proton beams in�...

Mar 6, 2024 � ... Rupert property using arbitrarily small rotations and a translation. View full-text. Article. Optimizing for the Rupert Property. December 2023�...

In geometry, Prince Rupert's cube is the largest cube that can pass through a hole cut through a unit cube without splitting it into separate pieces.