2 papers
math.MG2021
Cubes and Boxes have Rupert's passages in every direction
András Bezdek, Zhenyue Guan, Mihály Hujter +1
It is a year old counterintuitive observation of Prince Rupert of Rhine that in cube a straight tunnel can be cut, through which a second congruent cube can be passed. Hundre…
math.MG2021
Separating circles on the sphere by polygonal tilings
Andras Bezdek
We say that a tiling separates discs of a packing in the Euclidean plane, if each tile contains exactly one member of the packing. It is a known elementary geometric problem to sho…