Comments on: Number Puzzle #6 (I think) http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/ Ramblings of a Christian Mathematician and Bioinformaticist Thu, 23 May 2013 15:26:45 +0000 hourly 1 http://wordpress.org/?v=3.5 By: Natural Blogarithms » Blog Archive » Number Puzzle #6 – Solution http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125649 Natural Blogarithms » Blog Archive » Number Puzzle #6 – Solution Fri, 06 Feb 2009 16:32:22 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125649 [...] days ago, I posted this simple little number puzzle. Quite a few folks came up with the answer below.  One of the [...]

]]> By: SplineGuy http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125561 SplineGuy Fri, 06 Feb 2009 00:16:42 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125561 Yeah, that was my mistake. I missed up the graph when I originally drew it. The email feed had already gone out by the time I updated it. Sorry.

]]> By: GranddadDY http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125556 GranddadDY Thu, 05 Feb 2009 23:20:25 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125556 On the e-mail, the horizontal lines don’t display; only the vertical and diagonal ones show. Strange, it is exactly the same size. I thought there was a trick because it was too easy. Then I went to the blog. There were four little lines that I had not seen before.

]]> By: SplineGuy http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125550 SplineGuy Thu, 05 Feb 2009 21:45:08 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125550 I meant using 2, 3, …, 8, 1 as a shift, but still thinking of 1 and 2 as “consecutive”. That is, still using the digits 1-8. In a given solution, you can’t just replace 1′s with 2′s, 2′s with 3′s, …, 8′s with 1′s.

You are correct that the problem is solved similarly for any set of consecutive integers.

]]> By: Sean http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125547 Sean Thu, 05 Feb 2009 21:39:48 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125547 Unless I’m misunderstanding what you mean by shift, I think they should work in just the same way one through eight does. Using only the numbers 2 through 9 would then leave 2 and 9 with only one adjacent number (at least in the context we’re working in)

]]> By: SplineGuy http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125517 SplineGuy Thu, 05 Feb 2009 15:11:50 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125517 On my last comment, I take back what I said about the shifts. Starting with 2 instead of 1 won’t work. 1 and 8 are special numbers since they only have one adjacent value. Do they always end up in the middle?

]]> By: SplineGuy http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125511 SplineGuy Thu, 05 Feb 2009 14:21:48 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125511 I got an almost identical answer. I’m curious if there are other solutions, excluding rotations or reflections and excluding shifts (start with 2 instead of 1, etc.)

]]> By: Trae http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125509 Trae Thu, 05 Feb 2009 14:19:26 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125509 I started with 1 and 8 in the center two circles because those circles are the “most connected” and those numbers have the least amount of consecutive digits.

From there added 7 and 2 to the top and bottom respectively since those were the only terms consecutive with 8 and 1 and needed to not be adjacent to them.

The rest was simply placing the numbers in…

Therefore:

   (7)
(4)(1)(3)
(6)(8)(5)
   (2)
]]> By: SplineGuy http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125508 SplineGuy Thu, 05 Feb 2009 14:07:41 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125508 yup

]]> By: Trae http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/comment-page-1/#comment-125497 Trae Thu, 05 Feb 2009 13:09:07 +0000 http://blog.drscottfranklin.net/2009/02/04/number-puzzle-6-i-think/#comment-125497 And by adjacent I’m assuming connected by the lines?

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