## Poll

 An X shape 4 votes (44.44%) A square shape No votes (0%) Other (explain) 5 votes (55.55%) Just build four airports. No votes (0%) Leave the problem to the private sector. No votes (0%) There are no good sushi restaurants in Summerlin 1 vote (11.11%) I want a North Korean lapel pin. 1 vote (11.11%) I'm going to help the Wiz get Burning Man tickets. 1 vote (11.11%) I don't understand the question No votes (0%) Total eclipse reminder 04/08/2024. 3 votes (33.33%)

9 members have voted

charliepatrick
Joined: Jun 17, 2011
• Posts: 2577
March 2nd, 2019 at 1:53:38 AM permalink
Quote: Wizard

I have to give the beer to ... Barbara, if he wishes.

Can anyone find a web page that gives solutions for higher order regular n-gons?

Yes - please let Barbara have my beer when you all meet up in Spring.

I've only just stumbled across https://www.unige.ch/~gander/Preprints/BDM56-GanderE.pdf this morning - it looks very interesting and has the proof for square (s 5.1) and pentagon (s 5.2). Essentially he introduces Steiner Points and shows various lemmas (I haven't used that word since university!). As a hint, if you don't want to cheat, you need 3 junctions for a pentagon.
Canyonero
Joined: Nov 19, 2012
• Posts: 509
Thanks for this post from:
March 2nd, 2019 at 5:16:43 AM permalink
Quote: sodawater

I don't understand how the soap KNOWS how to solve this problem.

Thanks for your comment! I was getting very sad over the lack of shared enthusiasm concerning the insanity of soap-based mathematics!
Wizard
Joined: Oct 14, 2009
• Posts: 24211
March 2nd, 2019 at 7:52:28 AM permalink
Interesting stuff. Reminds me of the travelling salesman problem.
It's not whether you win or lose; it's whether or not you had a good bet.
beachbumbabs
Joined: May 21, 2013
• Posts: 14234
Thanks for this post from:
March 2nd, 2019 at 8:28:10 PM permalink
Quote: Wizard

Yes, that is pretty much the case. Lest, you feel I'm being unfair, I think most here can vouch that I like to see winners show their work to get full credit. I know it is difficult conveying a full solution with a keyboard, so I don't need to see every step. Glorified trial and error is not the kind of "work" I like to see.

Hint: Calculus is the perfect tool for problems like this, and we all know much I love calculus.

If the House lost every hand, they wouldn't deal the game.