Octagon Problem
Archimedes looked into the Octagon and immediately told that it is possible to create a perfect square out of it, if you cut it into five pieces and re join it.
Can you do that ?
Can you do that ?
Labels: mathschallenge
posted by Rajesh Lal at
11:31 PM
15 Comments:
Hi,
I'm not sure, I have never tried.
I'm a bit busy at the mo, I don't think I'll be able to do it today.
Are you sure you couldn't get someone else to do it for you with a bit more time on their hands.
I'm guessing you're quite young and not allowed to use sissors without adult supervision else you would do it yourself.
Maybe you could ask Mum or Dad or a teacher for help.
yes
Take the 5 parts and melt them and pour into a square container.
Yes, but it would be hard to explain without making a picture.
To the first person, why would you even post if you didn't have the time? I don't see why people post just to say that they don't know the answer. "It is better to keep your mouth closed and let people think you are a fool, than to open it and remove all doubt." And you have no idea how old he is, he is posting a riddle, doesn't mean he's a kid.
The answer is yes, but as Adam said I can't explain it without a picture.
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That's the best I could do for a picture. (I don't care if you say it looks more like a rectangle, but you get the point.)
it doesnt say you cant fold the peices of paper
Here are the cuts... enjoy.
http://www.flickr.com/photos/fdecomite/2871615733/in/photostream/
Xavier... in your pics it uses 7 pieces...the problems says to cut the octagon into 5 pieces
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Sorry for getting it wrong the last time. This is the answer.
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Sorry the other posts, THIS is the answer. (Ignore the period in the first drawing, I put it there so the spacing would be right.)
Oops, forgot to fix the mistake, THIS IS THE ANSWER.
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Sorry again for all the posts, I notice the mistake after I post it.
yes just cut it into a square and glue the rest of it in the middle on top of it
The solution is to first draw lines from the midpoints of each side,
across the ocaogon as show. Then erase parts of the lines as
shown, Then you can cut into 5 parts. Then arrange the parts
as shown. The green lines show the original octagon edges.
Ragknot
Picture here
http://2.bp.blogspot.com/_gQkeSWqb63Q/SjTBSGVHp_I/AAAAAAAAAEg/AZHkG32eJfY/s1600-h/Octagon+to+Square.JPG
its in possible to make a perfect shape so no there will be so small bumps you could not see or gut properly if you asked the question that way
ps im 2812498491235
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