At this page you'll find the smallest (ca 80) solutions of
the tough perfect-square puzzle. De rules are:
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The puzzle surface is a rectangle (the larger the tougher)
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The pieces are square and always smaller than the short edge
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We only work with concrete sizes e.g. centimeters, inches or use square paper
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Choose freely which squares you use, as long as they are all different
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The rectangle needs to be tiled completely, and pieces may never overlap
A solution is original or 'primarily' when it's not a multiple of a smaller one
and it's not a construction of other perfect rectangles or squares.
All following solutions are found using
backtracking
algorithm in Borland Delphi 6 Personal. They are ordered by length.
The prime puzzles & problems connection - geometrical dissection
University of Waterloo - Squaring the Square
Back to sqaures overview