Prince Rupert's cube
In geometry, Prince Rupert's cube is the largest cube that can pass through a hole drilled through a unit cube, i.e. through a cube whose sides have length 1. Curiously, it is slightly larger than the unit cube, with a side length of
It is named after Prince Rupert of the Rhine, who posed the question of what the maximal such cube was in the 17th century.[2] The question was first answered by Dutch mathematician Pieter Nieuwland.[3]
Notes
- ^ A093577
- ^ Weisstein, Eric W., "Prince Ruperts cube" from MathWorld.
- ^ Croft, Guy and Falconer, p. 53.
References
- Croft, Hallard T, Richard K. Guy and K. J. Falconer. Unsolved Problems in Geometry. (1994) New York: Springer.
- Cundy, H. and Rollett, A. Prince Rupert's Cubes (1989) ยง3.15.2 in Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., pp. 157-158.
- Penguin Dictionary of Curious and Interesting Geometry (1991) D. Wells, (p. 195)