puzzle of the day [modified]
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Have you seen a donut recently? If you tried to "fold" it that many times you'd end up with a handful of crumbs, a group of pissed off little kids, and then a woman with a knife, a headache (from the kids), and an extremely bad disposition towards you. Yeah, sounds like a true win/win situation!!! :)
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It was never meant to be bent
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Mircea Grelus wrote:
Place them on top of each other and make another cut top-down on the C shape to divide each shape into 3.
Dont understand! :confused: I get 4 pieces, and now I wasted a perfectly good donut! ;P
xacc.ide
The rule of three: "The first time you notice something that might repeat, don't generalize it. The second time the situation occurs, develop in a similar fashion -- possibly even copy/paste -- but don't generalize yet. On the third time, look to generalize the approach."added solution
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I can't believe this. Take 2 sheets of paper and cut them in the shape of a donut. Bend them and cut the C shape top-down as shown in my drawing. Count the pieces. You'll find eight of them. Assuming the rightmost piece (the piece to the right of the dotted line) is NOT cut through the middle - because as I mention it ISN'T - the 2 pieces of paper are actually one. So you have 7 pieces. Or better yet forget it. I'm getting tired of this.
Cheers, Mircea "Pay people peanuts and you get monkeys" - David Ogilvy
I was just trying to understand because if you can get 7 pieces in two cuts that makes it very interesting. and here is the picture of your solution http://trickofmind.com/images/puzzles/7pieces.png[^] Do you see anything glaring ?
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A women has a donut, and TWO "use and throw" knives. she want to share it with 5 children and you, only if you can help her do that? [added] the women is sharing between her children and you , she is not eating [/added] -- modified at 19:22 Thursday 25th October, 2007
Omit Needless Words - Strunk, William, Jr.
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I am bigger than the children, so I use the knives to threaten them into submission and eat both doughnuts.:)
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I am bigger than the children, so I use the knives to threaten them into submission and eat both doughnuts.:)
------------------------------------ Happy Primes Lead to Happy Memories. Don't Google FGI
There is just one donut!
xacc.ide
The rule of three: "The first time you notice something that might repeat, don't generalize it. The second time the situation occurs, develop in a similar fashion -- possibly even copy/paste -- but don't generalize yet. On the third time, look to generalize the approach." -
A women has a donut, and TWO "use and throw" knives. she want to share it with 5 children and you, only if you can help her do that? [added] the women is sharing between her children and you , she is not eating [/added] -- modified at 19:22 Thursday 25th October, 2007
Omit Needless Words - Strunk, William, Jr.
Like tricks, Vista? Daily Tricks Vista Gadget, Trick of Mind
http://xacc.qsh.eu/donuts.png[^] The knife can cut curves right? :p
xacc.ide
The rule of three: "The first time you notice something that might repeat, don't generalize it. The second time the situation occurs, develop in a similar fashion -- possibly even copy/paste -- but don't generalize yet. On the third time, look to generalize the approach." -
I was just trying to understand because if you can get 7 pieces in two cuts that makes it very interesting. and here is the picture of your solution http://trickofmind.com/images/puzzles/7pieces.png[^] Do you see anything glaring ?
Omit Needless Words - Strunk, William, Jr.
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your count is treating the bend as a cut. peices 3 and 5 are connected at the bend, as are 4 and 6.
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dan neely wrote:
peices 3 and 5 are connected at the bend, as are 4 and 6
yes thats what i was trying to clearify ! and AFAIK, i have drawn the solution as per "Mircea Grelus"
Mircea Grelus wrote:
So, cut horizontally from left to right up until the dotted line. Without moving the donut bend the left side over the right one to form a C shape (flipped). Now make a second cut on the dotted line. With this final cut, the left C shape is split into 6 pieces (3 for the top C shape and 3 for the button one) and there is the right piece, making it 7 pieces.
Compare with http://trickofmind.com/images/puzzles/7pieces.png[^]
Omit Needless Words - Strunk, William, Jr.
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A women has a donut, and TWO "use and throw" knives. she want to share it with 5 children and you, only if you can help her do that? [added] the women is sharing between her children and you , she is not eating [/added] -- modified at 19:22 Thursday 25th October, 2007
Omit Needless Words - Strunk, William, Jr.
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Cut donut in half: 2 pieces Throw knife into 1 child Cut donut in half: 4 pieces. Throw knife into 1 child. 4 pieces, 4 survivors.
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thats correct
Omit Needless Words - Strunk, William, Jr.
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It was never meant to be bent
Omit Needless Words - Strunk, William, Jr.
Like tricks, Vista? Daily Tricks Vista Gadget, Trick of Mind
Quartz. wrote:
It was never meant to be bent
Yea, I hate it when that happens.
:..::. Douglas H. Troy ::..
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dan neely wrote:
peices 3 and 5 are connected at the bend, as are 4 and 6
yes thats what i was trying to clearify ! and AFAIK, i have drawn the solution as per "Mircea Grelus"
Mircea Grelus wrote:
So, cut horizontally from left to right up until the dotted line. Without moving the donut bend the left side over the right one to form a C shape (flipped). Now make a second cut on the dotted line. With this final cut, the left C shape is split into 6 pieces (3 for the top C shape and 3 for the button one) and there is the right piece, making it 7 pieces.
Compare with http://trickofmind.com/images/puzzles/7pieces.png[^]
Omit Needless Words - Strunk, William, Jr.
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This is an invalid solution. You specified two cuts in the original post. The only way to separate the 3/5 and 6/4 pieces is with a starting cut to break the donut into two pieces. That would be the real first cut. Where you marked "cut 1" would actually be the second cut, and where you marked "cut 2" would actually be the third cut.
Mike Poz
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http://xacc.qsh.eu/donuts.png[^] The knife can cut curves right? :p
xacc.ide
The rule of three: "The first time you notice something that might repeat, don't generalize it. The second time the situation occurs, develop in a similar fashion -- possibly even copy/paste -- but don't generalize yet. On the third time, look to generalize the approach."very interesting solution :D
Omit Needless Words - Strunk, William, Jr.
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