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11-02-05 12:59 PM
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Acmlm's Board - I2 Archive - Brain Teasers - Matches | |
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Smallhacker

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Posted on 03-15-04 08:25 PM Link | Quote
Here's a problem for you. Take 6 matches. Try to make 4 triangles without breaking any of the matches.
Dish

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Posted on 03-15-04 08:49 PM Link | Quote
here's a crude picture of my answer:


 /|\
/ | \
-----
\   /
 \ /
  V


there's 2 smaller triangles in the top section. Those two combined make a 3rd triangle, and the one at the bottom is the fourth.
Acmlm

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Posted on 03-15-04 09:55 PM Link | Quote
Hmm, do they all need to be the same size, and form nothing else than 4 triangles (no lines exceeding)? Because in Disch's above, the top middle one is a little shorter than the rest ...


I found another solution that should work:

____
\/\/
/\/\
Smallhacker

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Posted on 03-15-04 11:51 PM Link | Quote
Sorry if I wasn't clear enough. They must be the same size.
Hmm... That seems to be 4 triangles, Acmlm, so I guess you win. However, that wasn't the solution I was thinking about.

Make a triangle first.

../\
/__\

Then it's not 2D any more. Think in three dimensions.

Build a pyramid on top of it. 3 sides and one bottom. 4 triangles.
KATW

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Posted on 03-16-04 02:29 AM Link | Quote
.. /\
. ----
/_\/_\

One match per side, three matches in the middle... lotsa triangles.... did you want EXCTLY four?


(edited by Kirby all the way on 03-15-04 05:29 PM)
Acmlm

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Posted on 03-16-04 05:35 AM Link | Quote
Ah, I would have never thought of that 3D solution, but it does work ... and I just noticed mine has 4 small triangles and 2 bigger ones, for a total of 6
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