

A108066


Number of distinct ways to dissect a square into n rectangles of equal area.


6




OFFSET

1,3


COMMENTS

"Distinct" here means that dissections differing only by a rotation and/or reflection are not counted as different (see A189243).
The first time the pieces can be made to all have different shapes (but the same area) is at n=7  see Descartes (1971) and the illustration; also Wells, Weisstein.  N. J. A. Sloane, Dec 05 2012


REFERENCES

David Wells, Penguin Dictionary of Curious and Interesting Geometry, 1991, pp. 1516.


LINKS



EXAMPLE

There are six ways to dissect a square into four rectangles of equal area, so a(4)=6:
+++ ++++ +++ +++++ ++++ +++
                     
                     
 +++      ++            
      ++          ++  +++
         _____            
                      
                      
++++ ++++ +++ +++++ ++++ +++


CROSSREFS



KEYWORD

hard,more,nonn,nice


AUTHOR

Hans Riesebos (hans.riesebos(AT)wanadoo.nl) and Herman Beeksma, Jun 03 2005


STATUS

approved



