Compound Perfect Squared Squares of the Order Twenties

2013/03/04 by Stuart E. Anderson, Anderson, Stuart E.
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1303.0599

44 pages, 10 figures. For associated pdf illustrations of enumerated compound perfect squared squares up to order 29, see http://squaring.net/downloads/downloads.html#cpss

arxiv created 2013/06/18 · arxiv updated 2015/03/12

Abstract

P. J. Federico used the term low-order for perfect squared squares with at most 28 squares in their dissection. In 2010 low-order compound perfect squared squares (CPSSs) were completely enumerated. Up to symmetries of the square and its squared subrectangles there are 208 low-order CPSSs in orders 24 to 28. In 2012 the CPSSs of order 29 were completely enumerated, giving a total of 620 CPSSs up to order 29.

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