Given a cake in form of a triangle and a box that fits the mirror image ofthe cake, how to cut the cake into a minimal number of pieces so that it can beput into the box? The cake has an icing, so that we are not allowed to put itinto the box upside down. V.G. Boltyansky asked this question in 1977 andshowed that three pieces always suffice. In this paper we provide examples ofcakes that cannot be cut into two pieces to put into the box. This shows thatthree is the answer to V.G. Boltyansky's question. Also we give examples ofcakes which can be cut into two pieces.
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