Article 2J119 Video of cube passing through hole in equally sized cube

Video of cube passing through hole in equally sized cube

by
Mark Frauenfelder
from on (#2J119)

3D-printed_Prince_Rupert_Cube.jpg

https://youtu.be/-2jjgHsxEu4

If you have two cubes of equal size, it's possible to cut a hole in one cube that's large enough for the other cube to pass through it.

From Wikipedia:

In geometry, Prince Rupert's cube (named after Prince Rupert of the Rhine) is the largest cube that can pass through a hole cut through a unit cube, i.e. through a cube whose sides have length 1, without splitting the cube into two pieces. Its side length is approximately 6% larger than that of the unit cube through which it passes. The problem of finding the largest square that lies entirely within a unit cube is closely related, and has the same solution.

The original proposition posed by Prince Rupert of the Rhine was that a cube could be passed through a hole made in another cube of the same size without splitting the cube into two pieces.

Image: Wikipedia/Acf62FmV7PI9wSw

External Content
Source RSS or Atom Feed
Feed Location http://feeds.boingboing.net/boingboing/iBag
Feed Title
Feed Link http://feeds.boingboing.net/
Reply 0 comments