把蛋糕装进盒子里
Packing a cake into a box
摘要：
给定一个三角形的蛋糕和一个适合蛋糕镜像的盒子，如何将蛋糕切成最小数量的块，以便将其放入盒子中？蛋糕上有糖霜，所以我们不允许把它倒着放进盒子里。V.G. Boltyansky在1977年提出了这个问题，并证明了三件作品总是足够的。在本文中，我们提供的例子蛋糕，不能切成两块，把盒子。这表明，三个是V.G.的答案。Boltyansky的问题。此外，我们还提供了可以切成两块的蛋糕的例子。
英文摘要：
Given a cake in form of a triangle and a box that fits the mirror image of the cake, how to cut the cake into a minimal number of pieces so that it can be put into the box? The cake has an icing, so that 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 put into the box. This shows that three is the answer to V.G. Boltyansky's question. Also we give examples of cakes which can be cut into two pieces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
