Date: Mar 13, 2013 10:19 AM
Author: Robert Hansen
Subject: Re: Please help me with the following question
So it seems that you are missing the point I am making. Mathematics is like magic. When some talk about magic they are talking about the tricks while a few talk about the art itself. I am talking about the art.

Bob Hansen

On Mar 13, 2013, at 1:01 AM, GS Chandy <gs_chandy@yahoo.com> wrote:

> Further GSC's post of Mar 13, 2013 7:43 AM (pasted below my signature for ready reference):

>

> The solution arrived at via the above strategy is seen (in part - the most important part is shown) at:

> http://mathforum.org/kb/message.jspa?messageID=8575196 .

>

> GSC

> ("Still Shoveling!")

>

> GSC posted Mar 13, 2013 7:43 AM

>> Robert Hansen (RH) posted Mar 12, 2013 7:24 AM

>> (GSC's remarks follow):

>>>

>>> On Mar 11, 2013, at 5:26 PM, Joe Niederberger

>>> <niederberger@comcast.net> wrote:

>>>

>>>> Now I have no idea what you are claiming.

>>>

>>> Let me ask you this. You don't see how there is an

>>> attribute to this problem that when you go in one

>>> direction you are losing ground and when you go in

>>> another you are gaining ground or at least holding

>>> your own (because this problem is pretty tight)?

>> Many

>>> problems have this attribute. That is the "problem

>>> solving" strategy I am talking about.

>>>

>>> Bob Hansen

>> GOT IT!

>>

>> I now understand that the strategy I had used for the

>> '12-Coin Problem" (when I had nailed it at age 10 or

>> 11 over half a century ago) was like so:

>>

>> Step A of strategy:

>> When I tried one way, I gained ground.

>>

>> When I tried another way, I lost ground.

>>

>> Step B of strategy:

>> So I chose the way that helped me gain ground.

>>

>> Step C:

>> Again, I found that,

>> - -- when I went one way, I gained ground.

>> - -- when I went the other way, I lost ground.

>> Once again, I chose the way that enabled me to gain

>> ground.

>>

>> REPEAT from Step A. (ad infinitum if required).

>>

>> The problem was solved!

>>

>> Many thanks for these 'Helpful Hints on Strategy'.

>>

>> I do believe all is now clear?

>>

>> GSC

>> ("Still Shoveling!")