Given a triangular cake and a box in the shape of its mirror image, how can the cake be cut into a minimal number of pieces so that it can be put into the box? The cake has icing, so we are not allowed to put it into the box upside down. V. G. Boltyansky asked this question in 1977 and showed that three pieces always suffice. In this paper we provide examples of cakes that cannot be cut into two pieces to be put into the box. This shows that three is the answer to Boltyansky's question. We also give examples of cakes which can be cut into two pieces.
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机译：给定一个三角形的蛋糕和一个镜像形状的盒子，如何将蛋糕切成最小的块数以便放入盒子中？蛋糕有糖衣，所以我们不允许将它倒装在盒子里。 V. G. Boltyansky在1977年提出了这个问题，并指出三件作品就足够了。在本文中，我们提供了不能切成两半的蛋糕放入盒子的例子。这表明三个是对博尔特扬斯基问题的答案。我们还举例说明了可以切成两块的蛋糕。
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