请你在纸上任意画一条封闭曲线，形状不论，只要是是封闭，凹凸也不论。不可有自相交。然后请你设法在曲线里画一个内接正方形，也就是正方形四个顶点都在曲线上。你可能稍微实验几下，就能画出。需说明允许这个正方形超出这个闭曲线之外，否则有反例。1911年德国犹太裔数学家Otto Toeplitz提出。正式描述：Let C be a Jordan curve. A polygon P is inscribed in C if all vertices of P belong to C. The inscribed square problem asks:Does every Jordan curve admit an inscribed square?以下是科赫雪花曲线的前四步构造过程，它被证明符合内接正方形猜想：
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