One square and an odd number of triangles

  • Martin Aigner
  • Günter M. Ziegler


Suppose we want to dissect a square into n triangles of equal area. When n is even, this is easily accomplished. For example, you could divide the horizontal sides into \( \frac{n}{2} \) segments of equal length and draw a diagonal in each of the \( \frac{n}{2} \) rectangles. But now assume n is odd. Already for n = 3 this causes problems, and after some experimentation you will probably come to think that it might not be possible.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Martin Aigner
    • 1
  • Günter M. Ziegler
    • 1
  1. 1.FU BerlinBerlinGermany

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