(此前一次录音质量太差，故重录，因此称为“修复版”)本节目开通了微信公众号，欢迎订阅：请你在一张纸上随便画5个点，里面不要有三点共线的情况，其他都随便画，然后请你尝试在这5个点里随便找4个点连接起来，唯一要求是构成一个凸四边形。然后你很快会发现，是不是随便画5个点，都能找出这样的四个点来构成凸四边形。但是很显然，只有四个点的话，不一定能构成凸四边形。那我现在问你，你能否证明构成凸四边形是否至少就需要5个点呢？如果要构成凸五边形，那至少需要多少个点呢？如要凸11边型又如何呢？这个一般的，平面上至少需要多少个点来构成凸n边型的问题，就是所谓幸福结局问题。1933年，厄多斯和塞凯赖什证明了g(n)的上下界：2016年，有人证明：凸5边型的情况和一个反例：
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