Monday, June 11, 2007

Square Cake Puzzle

Last week, we started doing puzzles in the office. Bruce asked one that I enjoyed. There is a square cake. And there is a square shaped hole in the cake. The hole is in a random place (and at a random angle). You want to evenly divide the cake with only a single cut. Where do you cut?


Blogger Vanda said...

Horizontally down the middle.

4:39 PM  
Blogger Vanda said...

I guess that is the solution..but the riddle is unclear in some ways...


12:36 AM  
Blogger Reza said...

That's a clever answer. I wanted to exclude this answer in my post, but I actually think it's a fun answer. Now that you have that answer, assume the cake has layers with different flavors and you want to share it all evenly. Thus, no horizontal cake cutting.

10:07 PM  
Anonymous Anonymous said...

Make a cut that passes through both the middle of the cake and through the middle of the hole.

This works because any straight line that passes through the middle of a rectangle will divide that rectangle into two equal parts. Therefore if you draw a line (or in this case make a cut) that passes through the middle of both the cake and the hole you must have equally divided both the cake and the hole.

11:31 AM  
Blogger Vanda said...

yupe..the unclear part was that..and sometimes, i am lazy enough... when come up with a solution not go to details... and...
btw...we might phone if you like. anyhow i will send u an email.

5:30 PM  
Anonymous Anonymous said...

please post the solution! i m really courious...

4:55 PM  
Anonymous Anonymous said...

Mark the two center points of small rectangle and large rectangle. Now cut the cake joining two points. This will give exact halves of cake.

10:40 PM  
Anonymous Anonymous said...

i agree with the above solution, seems to be correct!

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