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Lines Puzzle

 
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Huey
Daedalian Member



PostPosted: Wed Jan 30, 2002 3:24 am    Post subject: 1 Reply with quote

Draw three lines to make 7 independent triangles.

-Independent as in: No triangles within triangles.

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Huey
Daedalian Member



PostPosted: Wed Jan 30, 2002 3:24 am    Post subject: 2 Reply with quote

Straight lines
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ctrlaltdel
Member of the Daedalians



PostPosted: Wed Jan 30, 2002 9:20 am    Post subject: 3 Reply with quote

can i draw them and then fold the paper?

do i have to draw them on a euclidean plane?

can i draw them onto a sphere?
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groza528
No Place Like Home



PostPosted: Wed Jan 30, 2002 2:55 pm    Post subject: 4 Reply with quote

If you draw them on a sphere you can get 8. [e]and without those already given even. But they wouldn't be straight.[/e]

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If you think the little things don't matter, try falling asleep with a mosquito in your room.




[This message has been edited by groza528 (edited 01-30-2002 09:56 AM).]
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Milt
Daedalian Member



PostPosted: Thu Jan 31, 2002 2:38 am    Post subject: 5 Reply with quote

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Huey
Daedalian Member



PostPosted: Thu Jan 31, 2002 5:32 am    Post subject: 6 Reply with quote

That was fast. Good job Milt. It's a star w/ 2 additional triangles at its base.

What's the difference between a Eularian Plane and a regular plane? I know a Eularian graph is when a path exists between every edge and visit every path only once, except the beginning and ending vertex.
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Huey
Daedalian Member



PostPosted: Thu Jan 31, 2002 5:33 am    Post subject: 7 Reply with quote

nevermind, that's a EUCLID plane. My bad.
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ctrlaltdel
Member of the Daedalians



PostPosted: Thu Jan 31, 2002 10:27 am    Post subject: 8 Reply with quote

oh the puzzle was to ADD three MORE lines to your picture... hmm... that changes everything...
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groza528
No Place Like Home



PostPosted: Thu Jan 31, 2002 11:48 am    Post subject: 9 Reply with quote

Happy birthday Milt!

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If you think the little things don't matter, try falling asleep with a mosquito in your room.
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Milt
Daedalian Member



PostPosted: Thu Jan 31, 2002 2:32 pm    Post subject: 10 Reply with quote

Thanks, groza! And thanks for the puzzle Huey, it's a good one. I have about 150 little diagrams.
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