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Old 07-01-2010, 06:08 PM   #12
pdurrant
The Grand Mouse 高貴的老鼠
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Quote:
Originally Posted by obs20 View Post
Quote:
Originally Posted by pdurrant View Post
  • You have an ordinary, round, fruit cake.
  • You have an ordinary, straight, cake knife.
  • You need to cut the cake into eight equal* pieces.
  • You are only allowed three** cuts with the knife.
No doubt you're thinking that this is another old chestnut of a puzzle. But I'm adding a twist of a new condition:
  • Each of the eight pieces must be as tall as the original cake. So no slicing the cake in half horizontally!
Answers in
Spoiler:
spoiler tags
please.
Spoiler:

Cut once lengthwise from the top down. Cut again crosswise from top to bottom. Then cut diagonally from one top edge through the center onto the bottom directly opposite the top cut.
eight pieces, three cuts all equal height and volume.
I had to go and try it (although not with fruit cake). I'm afraid your solution doesn't work. Your pieces aren't equal. The bottom two pieces on the side you start the cut and the top two pieces on the side you end the cut are full height and equal, but they are bigger than the other four pieces which are only half the height of the original cake.
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