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June 26th, 2014, 01:52 PM   #11
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Yes. Papers submitted for publication in journals are checked pretty carefully . . .
Are they? (not so rhetorical question)

I just called out the Mathematical Association of America which published this "proof" in the

American Mathematical Monthly, Vol. 103, No. 3 (March 1996) pages 242-243.

I'm hoping they'll put their money where their mouth is.

https://www.math.lsu.edu/~verrill/origami/trisect/

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June 26th, 2014, 02:20 PM   #12
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Are they? (not so rhetorical question)
Yes. Any reputable journal -- this certainly includes AMM -- does so. This isn't to say that mistakes don't creep in, but when they do it's gotten through at least 3 layers of defense (authors, editorial board, referees). At a minimum this should be 4 people (at least one author, at least one editor, and at least two referees).

I don't see how the paper you mention supports your position in any way.
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June 26th, 2014, 02:23 PM   #13
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If possible, somebody should sponsor this contest.
Why do you need sponsors? The prize comes out of the loser's pocket, right?

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The Bill and Melinda Gates foundation or something.
They lack mathematical expertise.

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I nominate the makers of GeoGebra to be the judges. I cannot think of anyone more qualified.
I don't think I'd be opposed, but GeoGebra isn't necessarily relevant since I don't think it can do origami constructions, just compass/straightedge.

Edit: Actually, it looks like maybe it can. Neat!

Last edited by CRGreathouse; June 26th, 2014 at 02:31 PM.
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June 26th, 2014, 02:45 PM   #14
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I don't see how the paper you mention supports your position in any way.
That is the opposition's position.
https://www.math.lsu.edu/~verrill/origami/trisect/

Here are mine.

https://www.flickr.com/photos/859374...7636438514124/

Last edited by long_quach; June 26th, 2014 at 02:55 PM.
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June 26th, 2014, 02:48 PM   #15
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Why do you need sponsors? The prize comes out of the loser's pocket, right?
We would need someone to sponsor the event, like a boxing match. You need judges, video recording for YouTube, an audience.

Yes, the wagers come from the challengers. That's me.
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June 26th, 2014, 04:07 PM   #16
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It doesn't even look like we need to do anything -- just submit those two links to the judges, yes?
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June 26th, 2014, 04:35 PM   #17
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It doesn't even look like we need to do anything -- just submit those two links to the judges, yes?
No.

But we need somebody to challenge me. And we have to duke it out in person face to face. And we need somebody to agree to be the judges. A challenge like this has to be done face to face, like a courtroom trial.

Last edited by long_quach; June 26th, 2014 at 04:40 PM.
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June 26th, 2014, 05:36 PM   #18
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I'm pretty happy to do that. So we need a judge or panel or judges, or at least a way to decide on them, and a way to guarantee payments to each other. The easiest solution would seem to be a trusted third party who takes checks (or cash) from both of us in advance and disburses payments as needed. (I trust you have that much in your bank account, or you wouldn't make the challenge?)
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June 26th, 2014, 06:46 PM   #19
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Oh, I have the money.

As I said, it's not something simple. It has to be set up. Ideally, who would you want the judges to be?

And what makes you think you would win? How do you know what cards I'm holding? And do you think I don't know what cards you are holding?

Hmm. I myself do not play cards, I play chess. But I find cards more fitting for this thread and more poetic.

"Not chess, Mister Spock, poker." - Star Tek - The Corbomite Maneuver

Last edited by long_quach; June 26th, 2014 at 07:08 PM.
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June 26th, 2014, 07:06 PM   #20
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I am quite impressed to see the views here of all experts.
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