TimeSpaceLightForce Posted January 10, 2013 Report Share Posted January 10, 2013 How did Goldilock sliced the whole cake into three equal pieces for Papa bear, Mama bear _===_ _><_ ( - , - ) (- . -) _/\_ { ||| ||| } { == } (' -' ) =================== | | |~~~~~~~~~~~~~~~~~~| and Baby bear with only one straight cut ? Quote Link to comment Share on other sites More sharing options...
0 jddouglas Posted January 10, 2013 Report Share Posted January 10, 2013 If the cake was just a regular rectangle... Would cutting a circle out of the middle be considered a "one straight" cut? To keep the numbers simple, if the cake were 2 feet x 4.71 feet, she could cut a circle with a 2 foot diameter out of the middle. You would then have a circle piece with an area of 3.14 feet, and the two side pieces with the same area. 1 Quote Link to comment Share on other sites More sharing options...
0 Thalia Posted January 10, 2013 Report Share Posted January 10, 2013 (edited) "only one straight cut"? Does that mean we can make a bunch of wavy/squiggly cuts? Edited January 10, 2013 by Thalia 1 Quote Link to comment Share on other sites More sharing options...
0 Pankaj Varma Posted January 10, 2013 Report Share Posted January 10, 2013 Does not say about the shape of the cake. A properly designed Y shaped cake could be cut into 3 equal portions with just one straight cut 1 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 10, 2013 Author Report Share Posted January 10, 2013 "only one straight cut"? Does that mean we can make a bunch of wavy/squiggly cuts? It is very interesting to see a squiggly cut but not the complicated math Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 10, 2013 Author Report Share Posted January 10, 2013 Does not say about the shape of the cake. A properly designed Y shaped cake could be cut into 3 equal portions with just one straight cut Hi PV \\\ /// ||| Right, but Y shape has is a triagle in the center.. about design of Y shape knife maybe but lets see first if there's a need. thanks |||||| |||||||||||||||||||||||||| |||||| |||||| |||||| ||||||||||||||||||||||||| C shape does not look whole..or a cake Quote Link to comment Share on other sites More sharing options...
0 Rainman Posted January 10, 2013 Report Share Posted January 10, 2013 |||||||||||| |||||||||||| |||| |||| |||| |||| |||| |||| |||| |||| <-------cut along this line |||| |||| |||| |||| |||||||||||| 1 Quote Link to comment Share on other sites More sharing options...
0 BobbyGo Posted January 10, 2013 Report Share Posted January 10, 2013 The problem never stated what the cake would be cut with. Could be a knife, or possibly some pitchfork shaped utensil. ------------------------- | | | | | | <-- Awesomely drawn cake | | | | ------------------------- ^ ^ || || ||===|| <-- Poorly drawn multi-pronged cutting apparatus || || 1 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 10, 2013 Author Report Share Posted January 10, 2013 |||||||||||| |||||||||||| |||| |||| |||| |||| |||| |||| |||| |||| <-------cut along this line |||| |||| |||| |||| |||||||||||| Hi Rainman That is a triple U shape, like C shape also.. where you can have three rectangles.. but bears dont like rectangle cakes Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 10, 2013 Author Report Share Posted January 10, 2013 If the cake was just a regular rectangle... Would cutting a circle out of the middle be considered a "one straight" cut? To keep the numbers simple, if the cake were 2 feet x 4.71 feet, she could cut a circle with a 2 foot diameter out of the middle. You would then have a circle piece with an area of 3.14 feet, and the two side pieces with the same area. Hi welcome to the den. Good 1, [ ( ( ) ) ] same weight but bears may have issue on it and hard to explain they are as big without a weighing scale,all might demand the circle one . Thanks for this solution Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 10, 2013 Author Report Share Posted January 10, 2013 The problem never stated what the cake would be cut with. Could be a knife, or possibly some pitchfork shaped utensil. ------------------------- | | | | | | <-- Awesomely drawn cake | | | | ------------------------- ^ ^ || || ||===|| <-- Poorly drawn multi-pronged cutting apparatus || || Hi there Bobby, Thats is awsome piece of hardware..but they cant afford to buy such. thanks for the idea. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 10, 2013 Author Report Share Posted January 10, 2013 (edited) The cake is round and the knife is sharp and pointy. Edited January 10, 2013 by TimeSpaceLightForce Quote Link to comment Share on other sites More sharing options...
0 BobbyGo Posted January 10, 2013 Report Share Posted January 10, 2013 Does the cake need to be stationary, or can it be spun (or moved in another fashion) while it is being cut? Quote Link to comment Share on other sites More sharing options...
0 parks703 Posted January 11, 2013 Report Share Posted January 11, 2013 if it was a 3 layer cake, cut in 1/2 then give each 2 layers. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 11, 2013 Author Report Share Posted January 11, 2013 Does the cake need to be stationary, or can it be spun (or moved in another fashion) while it is being cut? Dexterity ..lets say there is a Lazy Susan..go on Nice thought, solution is shaping Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 11, 2013 Author Report Share Posted January 11, 2013 if it was a 3 layer cake, cut in 1/2 then give each 2 layers. Hi, welcome to the den Right if the layers are of same heights, but why slice if it is already divided ? Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 13, 2013 Author Report Share Posted January 13, 2013 A round, thin, warpable and bit stretchable cake is the solution specs for this puzzle.."the whole cake" is a big pancake.The 3 bears love honey syrup on their hot cakes! Solution: she did cut the 3 "slice radii" (120deg "Y") at the same time.. first she made a tiny hole on the pancake to mark its center. then mark the ends of these slice radii on the cake edge. Next warping it into a "D" shape along one of slice radii making the other two slice radii (or edge marks) aligned. If she cut the two aligned slice radii she could have only 2/3 & 1/3 of the cake. So instead,she warped it again to align the 3 slice radii. Finally cut them straight starting from the center hole . / ___________________________________ / B(____________________________________\ /___________________________|____________________________________|| C (_____ ______________________|____________________________________/ A x Quote Link to comment Share on other sites More sharing options...
Question
TimeSpaceLightForce
How did Goldilock sliced the whole cake into
three equal pieces for Papa bear, Mama bear
_===_ _><_
( - , - ) (- . -) _/\_
{ ||| ||| } { == } (' -' )
===================
| |
|~~~~~~~~~~~~~~~~~~|
and Baby bear with only one straight cut ?
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