名式鑑賞2: PERFECT SQUARE DISSECTION.
上の図は,ある正方形を,それぞれ大きさの異なる別な正方形に分割できるかという問題に対するひとつの解で,オーダー21のパーフェクト・スクエアと呼ばれている.これは21個の相異なる正方形から出来た正方形で,最も小さいパーフェクト・スクエアでもある.
この分割を数式で記述する方法はいくつかあるが,代表的なものはつぎのようなものである.
[50, 35, 27], [8, 19], [15, 17, 11], [6, 24], [29, 25, 9, 2], [7, 18], [16], [42], [4, 37], [33]
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