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If you want to build a ship
don't herd people together to collect wood
and don't assign them tasks and work,
but rather teach them to long for the
endless immensity of the sea...
     - A. Saint-Exupery

Original text:
Si tu veux construire un bateau,
ne rassemble pas des hommes pour aller chercher du bois,
préparer des outils,
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alléger le travail,
mais enseigne aux gens la nostalgie de l’infini de la mer...

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Previous Puzzles of the Month + Solutions

 
January-February 2009, Puzzle nr 120
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Puzzle # 120 Difficulty level: bulbbulb, general math knowledge.

cheese puzzle

Geometric mouse
  
Help Thymoty the small mouse to cut the 3-centimeter thick piece of cheese depicted above into 4 CONGRUENT pieces, so that they can pass through the 5x5-centimeter mouse hole (don’t mind the thickness of the wall).

Keywords: geometric dissections.

Related puzzles:
- Squared!
- Red Monad.


Source of the puzzle:
BrainTrainer, issue #12. © G. Sarcone.
You cannot reproduce any part of this page without prior written permission.


solution

There are several solutions to this dissection puzzle, the one shown below is perhaps the simplest and most elegant.

solution 1

solution 1

And here is a variant by G. S. Amaresh:
solution 1

 

cup winnerThe Winner of the Puzzle of the Month is:
Amaresh G. S., India indian flag

Congratulations!


© 2005 G. Sarcone, www.archimedes-lab.org
You can re-use content from Archimedes’ Lab on the ONLY condition that you provide credit to the authors (© G. Sarcone and/or M.-J. Waeber) and a link back to our site. You CANNOT reproduce the content of this page for commercial purposes.

You're encouraged to expand and/or improve this article. Send your comments, feedback or suggestions to Gianni A. Sarcone. Thanks!


More Math Facts behind the puzzle

secant tangent theorem 2The math puzzle above is inspired from a very old puzzle called the "four knights problem". The puzzle's challenge is to cut the chessboard shown opposite into 4 congruent parts, each with a knight on it.

Source: "The Moscow Puzzles" by Boris A. Kordemsky.

 



Previous puzzles of the month...
contents+solutions
puzzle solver
Solved Puzzles

Sept-Oct 08:
perpendicular or not...

July-Aug 08:
ratio of triangles

May-June 08:
geometry of the bees

Febr-March 08
:
parrot sequence...

Dec 07-Jan 08
:
probable birthdates?

Oct-Nov 2007
:
infinite beetle path

Aug-Sept 07:
indecisive triangle

June-July 07:
Achtung Minen!

April-May 07
:
soccer balls

Febr-March 07
:
prof Gibbus' angle

Jan 07
:
triangles to square

Aug-Sept 2006:
balance problem

June-July 06
:
squared strip

Apr-May 06:
intriguing probabilities

Febr-March 06:
cows & chickens
Dec 05-Jan 06:
red monad

Sept-Oct 2005
:
magic star

July-Aug 05:
cheese!

May 05:
stairs to square

Febr 05:
same pieces

Sept-Oct 2004:
odd triangles

June 04:
pizza's pitfalls

Puzzle Archive
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