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Guest Message by DevFuse
 

Photo
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more difficult dissection: the square


Best Answer Pickett, 12 June 2013 - 04:53 PM

Spoiler for How's this?
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#1 bonanova

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Posted 12 June 2013 - 06:10 AM

A square may be dissected into any number n of acute triangles, provided that n is 8 or greater.

Show such a dissection for n=8.


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#2 Barcallica

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Posted 12 June 2013 - 08:44 AM

Is it even possible?


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#3 Pickett

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Posted 12 June 2013 - 04:53 PM   Best Answer

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#4 witzar

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Posted 14 June 2013 - 12:36 AM

It use to be one of my favorites. I found it in Mathematical Snapshots,

a great book (devoted to recreational math) by Hugo Steinhaus.


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#5 bonanova

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Posted 14 June 2013 - 07:48 AM

I've seen it also with allowable regions (if symmetry is present) for the endpoints of the short horizontal line.


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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