在一个宽度为1的走廊里，这个走廊有一个向右的直角转弯，但是转弯过后，这个走廊宽度保持不变还是一，问在这样一个走廊里，搬一个沙发要能通过这个转弯，这个沙发最大可以多大？这个问题在1966年就被提出了，至今没有解决。Hammersley构造出如下沙发的样子，两边是半径为1的半圆，中间是宽为1，长为4/π的矩形，切去一个半径为2/π的半圆，面积约为2.2074：Gerver对上述沙发做了改进，整个沙发由18段曲线构成，面积约为2.2195：能通过左右直角弯的“双心形沙发”（ambidextrous sofa）：双心形沙发面积公式：上期智力趣题答案：35^2+2^2+2^2+1^2=1234
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