## interesting puzzle

**I**n addition to its weekly mathematics puzzles, Le Monde is now publishing a series of vulgarisation books on mathematics, under the patronage of Cédric Villani. Jean-Michel Marin brought me two from the series, one on the golden number and one on Pythagoras’ theorem. (This is actually a translation of a series published by El Pais last year.) Those books are a bit stretched given the topic, even though I enjoyed the golden number (the second one having a lot of redundancy with the first one.) However, I came upon an interesting question, namely about the maximum size of a cube that could fit through a tunnel drilled through the unit cube. Sadly, I could not find an answer to this problem on the web, even though the book mentions a solution with a side larger than one…

April 28, 2013 at 1:36 am

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April 27, 2013 at 8:46 pm

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April 25, 2013 at 7:26 pm

I think you mean “popularization” of mathematics, rather than “vulgarization”.

April 25, 2013 at 3:23 pm

Is that not Prince Rupert’s cube?

April 25, 2013 at 2:53 pm

It is the so-called Prince Rupert’s cube.

You can read about it here:

http://mathworld.wolfram.com/PrinceRupertsCube.html

http://en.wikipedia.org/wiki/Prince_Rupert's_cube

And you might also want to check his drops…

Most importantly, best wishes!

April 26, 2013 at 9:23 am

Here’s a great video on Prince Rupert’s drop using a high speed camera: http://www.youtube.com/watch?v=xe-f4gokRBs