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Topic: Cutting a cube (Read 3627 times) |
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towr
wu::riddles Moderator Uberpuzzler
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Re: Cutting a cube
« Reply #1 on: Feb 1st, 2008, 12:27am » |
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Can you move the pieces between cuts? Do you have to cut parallel to the sides of the cubes?
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Benny
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Re: Cutting a cube
« Reply #2 on: Feb 1st, 2008, 2:57am » |
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This is what i did : The maximal number of pieces into which "n" planes divide the space, is given by: (n^3 + 5n + 6)/6, so the answer to this question is 26. What do u think? Do u agree with the solution?
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If we want to understand our world — or how to change it — we must first understand the rational choices that shape it.
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ThudnBlunder
wu::riddles Moderator Uberpuzzler
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Re: Cutting a cube
« Reply #3 on: Feb 1st, 2008, 3:06am » |
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on Feb 1st, 2008, 2:57am, BenVitale wrote:This is what i did : The maximal number of pieces into which "n" planes divide the space, is given by: (n^3 + 5n + 6)/6, so the answer to this question is 26. What do u think? Do u agree with the solution? |
| (n^3 + 5n + 6)/6 is a deus ex machina formula, not a solution.
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THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
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towr
wu::riddles Moderator Uberpuzzler
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Re: Cutting a cube
« Reply #4 on: Feb 1st, 2008, 6:41am » |
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I can get 32 if (and only if) I can move the pieces around for each planar cut. If you have to make cuts parallel to the sides of the cubes (without moving pieces around), I get 18. And 26 is a perfectly correct answer in the case you just divide the cube with random planes (without moving the pieces).
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