Differential Geometry and Geometric Structures
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Students' Work: Prince Rupert's Cube


Prince Rupert of the Rhine (Ruprecht von der Pfalz, 1619-1683) proposed the following problem. Is it possible to cut a hole through a cube, large enough to let another cube of the same size pass through it, without spliiting the cube in two pieces? The picture illustrates a solution, that is obtained by cutting a prismatic hole parallel to a space diagonal.
(This solution is not unique. Furthermore, one may even pass a slightly larger cube. The largest among these is known as Prince Rupert's cube.)

Created by Katharina Labschütz (2014) using POV-Ray - The Persistance of Vision Raytracer.

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Last modified on February 18th, 2016.