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   Author  Topic: Two Solids  (Read 434 times)
ThudnBlunder
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Two Solids  
« on: Jan 31st, 2005, 1:13pm »
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Two solids, a triangular pyramid and a square pyramid with a square base and four triangular sides, have edges that are all 1 metre long. If the models are placed together with a triangular face of each coinciding, how many faces does the resulting figure have?  
« Last Edit: Jan 31st, 2005, 1:22pm by ThudnBlunder » IP Logged

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JocK
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Re: Two Solids  
« Reply #1 on: Jan 31st, 2005, 1:32pm »
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   ------------
   \ . . . . . . . . \
     \ . . . . . . . . \
       ------------
     /|                |\
   / .|                |. \
 / . .|                |. . \
 \ . .|                |. . /
   \ .|                |. /
     \|                |/
       ------------
     / . . . . . . . . /
   / . . . . . . . . /
   ------------
 
So I guess that makes ...5...?
« Last Edit: Jan 31st, 2005, 1:46pm by JocK » IP Logged

solving abstract problems is like sex: it may occasionally have some practical use, but that is not why we do it.

xy - y = x5 - y4 - y3 = 20; x>0, y>0.
Noke Lieu
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Re: Two Solids  
« Reply #2 on: Jan 31st, 2005, 2:38pm »
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T&B, you're slipping, my friend...  (am fairly sure was way, way back... the search is stalling on me, will come back later to see if it's working)
 
actually, not that long ago...
« Last Edit: Jan 31st, 2005, 2:48pm by Noke Lieu » IP Logged

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ThudnBlunder
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Re: Two Solids  
« Reply #3 on: Jan 31st, 2005, 10:58pm »
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Oh dear! I missed that one completely.  
Mods, feel free to erase this thread.  
(Sorry, Jock.)
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Re: Two Solids  
« Reply #4 on: Feb 1st, 2005, 1:27pm »
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on Jan 31st, 2005, 10:58pm, THUDandBLUNDER wrote:
Mods, feel free to erase this thread.  
(Sorry, Jock.)

 
Aarrgggh..!!  Angry  Grin It took me some 15 attempts to get the ASCII art correctly represented...  Huh  (I had to.... as one cannot hide a JPG it had to be a character-based picture.)
 
Funny to see that in the original thread no one came up with the idea to fold open the resulting polyhedron. I think the problem is surprisingly trivial if you do so in the correct way...
 
Nice little problem by the way...
 
« Last Edit: Feb 1st, 2005, 1:30pm by JocK » IP Logged

solving abstract problems is like sex: it may occasionally have some practical use, but that is not why we do it.

xy - y = x5 - y4 - y3 = 20; x>0, y>0.
ThudnBlunder
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Re: Two Solids  
« Reply #5 on: Feb 1st, 2005, 1:35pm »
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Quote:
...as one cannot hide a JPG

But one can zip it.
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