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Cube
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- Lemon Quarter
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Re: Cube
cinelli wrote:How can you make a cube with five paper matches? No bending or splitting of matches is allowed.
Spoiler...
Place them as follows on a flat surface (though without the small gaps):
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The cube is 1^3 = 1. ;-)
Gengulphus
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Re: Cube
cinelli wrote:How can you make a cube with five paper matches? No bending or splitting of matches is allowed.
Cinelli
Would I be right in guessing this is more a riddle than a puzzle and that the cube is 8?
GS
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- The full Lemon
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Re: Cube
GoSeigen wrote:cinelli wrote:How can you make a cube with five paper matches? No bending or splitting of matches is allowed.
Cinelli
Would I be right in guessing this is more a riddle than a puzzle and that the cube is 8?
GS
Would that be akin to making a square from three such matchsticks? Note that you could extend your solution to make other cubes including 125, 1000, or 125000.
Otherwise 27 would work much the same way. Or indeed 1, +1, or -1, according to height.
But all of these solutions use matchsticks, whereas the question asks about "paper matches" - whatever they might be. I think we need to figure out what that actually refers to. "Bending or splitting" may be a complete red herring.
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Re: Cube
OK, this is probably too obvious.... Get another seven of them? You can then quite easily arrange them as the 12 edges of a cube. You never said "using only five paper matches"...
Or if we are looking for a cube number, how about "X - II" which is 10 - 2 = 8? You can make the X with two crossed matches, and the rest are singles, totalling five. They need to be paper matches as it makes it easier to cross them - a matchstick might fall off.
Or if we are looking for a cube number, how about "X - II" which is 10 - 2 = 8? You can make the X with two crossed matches, and the rest are singles, totalling five. They need to be paper matches as it makes it easier to cross them - a matchstick might fall off.
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Re: Cube
cinelli wrote:Gengulphus was very quick off the mark with an acceptable answer. So is this:- -
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(27). You would do well to make 8 from five matches.
Cinelli
I'm disappointed. I imagined the answer would've been GoSeigen's implied VIII . Which of course leads to my other suggestions: a three-match square being IV, IX, or IL, and an extension being the observation that any number (e.g. V, X or L) raised to the power of III is a cube.
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- Lemon Quarter
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Re: Cube
cinelli wrote: You would do well to make 8 from five matches.
Cinelli
What's the problem? Make a square with 4 of the matches, then add the fifth across the middle. OK, it's a bit squashed, but it's still an 8
--kiloran
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Re: Cube
kiloran wrote:cinelli wrote: You would do well to make 8 from five matches.
Cinelli
What's the problem? Make a square with 4 of the matches, then add the fifth across the middle. OK, it's a bit squashed, but it's still an 8
--kiloran
... which those of us of a certain age will remember from our pocket calculators and computers up to about 30 years ago.
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- Lemon Quarter
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Re: Cube
cinelli wrote:Gengulphus was very quick off the mark with an acceptable answer. So is this:- -
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(27). You would do well to make 8 from five matches.
Cinelli
.===1===
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2===3===4
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===5===
GS
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- Lemon Half
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Re: Cube
GoSeigen wrote:cinelli wrote:Gengulphus was very quick off the mark with an acceptable answer. So is this:- -
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(27). You would do well to make 8 from five matches.
Cinelli.===1===
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2===3===4
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===5===
GS
Make an 'X' with the first two matches, place the third match between the two ends at the bootom of the X, and the fourth match between the two ends at the top. Strike the fifth match and burn to the end.
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- Lemon Slice
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Re: Cube
I have thought of a way to make a cube out of four matches (all of them), can be wood ones if you like! Only slightly more tricksy than the original question.
Any advance on four?
Any advance on four?
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- Lemon Quarter
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Re: Cube
malkymoo wrote:I have thought of a way to make a cube out of four matches (all of them), can be wood ones if you like! Only slightly more tricksy than the original question.
Any advance on four?
Well, there's a way to make a cube from just one match (all of it), and it too can be a wood one if you like. It's closely related to my solution with five matches earlier in the thread...
Any advance on one? ;-)
Gengulphus
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