Prince Rupert's Cube
The largest Cube which can be made to pass through a given Cube. (In other words, the Cube having a sidelength equal to the side length of the largest Hole of a Square Cross-Section which can be cut through aunit Cube without splitting it into two pieces.) The Prince Rupert's cube has side length
, and any Cube this size or smaller can be made to pass through the original Cube.
References
Cundy, H. and Rollett, A. ``Prince Rupert's Cubes.'' §3.15.2 in Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., pp. 157-158, 1989. Schrek, D. J. E. ``Prince Rupert's Problem and Its Extension by Pieter Nieuwland.'' Scripta Math. 16, 73-80 and 261-267, 1950.
- Irreflexive
- Irregular Pair
- Irregular Prime
- Irregular Singularity
- Irrotational Field
- Isarithm
- ISBN
- I-Signature
- Island
- Isobaric Polynomial
- Isochronous Curve
- Isoclinal
- Isocline
- Isoclinic Groups
- Isodynamic Points
- Isoenergetic Nondegeneracy
- Isogonal Conjugate
- Isogonal Line
- Isogonic Centers
- Isograph
- Isohedral Tiling
- Isohedron
- Isolated Point
- Isolated Singularity
- Isolating Integral