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Puzzle Agent Discussion What is the mystery of Scoggins, MN?

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Old 05/31/2010, 10:25 pm   #221
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You mean a square and two diagonals? If that's the case, explain to me how you figure that they're equilateral
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Old 05/31/2010, 10:28 pm   #222
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Doh. Er, nevermind.
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Old 05/31/2010, 10:56 pm   #223
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Solution to A:

|><|
|><|

Two intertwined equilateral triangles, where the "top" of one triangle touches the "bottom" of the other, and vice versa.


On B:

Wouldn't a Star of David make six equilateral triangles like you originally posted?
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Old 05/31/2010, 11:04 pm   #224
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Quote:
Originally Posted by bamse View Post
Solution to A:

|><|
|><|

Two intertwined equilateral triangles, where the "top" of one triangle touches the "bottom" of the other, and vice versa.


On B:

Wouldn't a Star of David make six equilateral triangles like you originally posted?
No, six small ones and two big ones, so eight altogether. I'm not sure if your solution is indeed equilateral triangles but I'm guessing if they are there are six of them. Either way, that's not the solution I was looking for, but that's definitely an interesting suggestion.
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Old 05/31/2010, 11:44 pm   #225
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Quote:
Originally Posted by Avistew View Post
No, six small ones and two big ones, so eight altogether. I'm not sure if your solution is indeed equilateral triangles but I'm guessing if they are there are six of them. Either way, that's not the solution I was looking for, but that's definitely an interesting suggestion.
Ah, I didn't even think of the bigger ones. Yeah, they are equilateral, but like you said, there are six of them when you count the two big ones.

Last edited by flesk; 05/31/2010 at 11:46 pm. Reason: I'm stupid
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Old 05/31/2010, 11:49 pm   #226
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Okay, everyone, bamse didn't find the answer to A, but the answer to C (6 equilateral triangles with 6 matches), which deserves kudos too.
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Old 06/01/2010, 12:11 am   #227
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Create the rhombus
A___B
/ /
/___/
D C

where ADC = ABC = 60 degrees. Join corners A and C. Join lines AB and CD with a match parallel to AD and BC. Call the point where the last two matches meet X, the point where the last match meets AB Y and the point where the last match meets CD Z.
We have equilateral triangles ACD, ACB, AXY and CXZ.
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Old 06/01/2010, 12:36 am   #228
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That looks super complicated and I have no clue if they're equilateral or not, but that's not the answer I'm looking for.

Just like the answer to B, the answer to A can be given with words, without any drawing or anything involved. If that helps. I'll even accept both the tabletop RPG term and the geometry one.
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Old 06/01/2010, 01:02 am   #229
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Here's an attempt at some more descriptive ASCII art of my solution:

...____
../\/.../
././\../
/_/_\/

It consists of two large equilateral triangles, where one is upside down, and they share one match. The sixth match can be anywhere, touching the top and bottom line, but must be parallel to the left and right side.
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Old 06/01/2010, 01:06 am   #230
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Ah, I see. Looks good to me. Congrats then! Wasn't the solution I was looking for (mine has 4 equilateral triangles that are the same size, and doesn't require any calculating) but if it works you get points. Want to try and figure out the one I had in mind or should I give the solution?

Here is a hint: Every side of every triangle is one match. That's why you don't need to calculate anything, since all matches are the same size.
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Old 06/01/2010, 01:09 am   #231
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This is what bamse has done:

I followed his instructions XD It does work. Just not especially nice, and the triangles are different sizes, and two matches cross.
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Old 06/01/2010, 01:20 am   #232
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The answer to A (4 equilateral triangles using 6 matches) is a tetrahedron (triangular pyramid with 4 equal sides). The trick is thinking beyond the 2D
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Old 06/01/2010, 01:20 am   #233
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Well, bamse gets credit for figuring out a new solution.
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Old 06/01/2010, 01:26 am   #234
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I've got one:
How do you get seven as the result of dividing twelve by two?
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Old 06/01/2010, 01:34 am   #235
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Oh, I know! But I figured it out so fast, I think I knew it already, so I won't say.
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Old 06/01/2010, 06:32 am   #236
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Quote:
Originally Posted by Javi-Wan Kenobi View Post
I've got one:
How do you get seven as the result of dividing twelve by two?
When you suck at math and don't have a calculator?
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Old 06/01/2010, 06:51 am   #237
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Just keep dividing by 2 until you reach 0.75?
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Old 06/01/2010, 06:55 am   #238
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cheat?
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Old 06/01/2010, 06:56 am   #239
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You only divide once, and it's an exact (and -somehow- correct) division
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Old 06/01/2010, 07:03 am   #240
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Well, since I don't want to hold the whole thread up, the answers I would have accepted are d4, tetrahedron and, while inaccurate, pyramid (because I would have assumed you just didn't know the right word).
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