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Subject: "A Problem on an Infinite Checkerboard"     Previous Topic | Next Topic
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Conferences The CTK Exchange College math Topic #714
Reading Topic #714
Creative
Member since May-15-09
 May-15-09, 12:26 PM (EST)
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"A Problem on an Infinite Checkerboard"
 
   Hi everyone. I hope i'm posting this in the right section.

On the website there is A Problem on an Infinite Checkerboard which I have found interesting and been working on for a while.

https://www.cut-the-knot.org/arithmetic/NimSum.shtml

At the end, it'says Prove the above Proposition.

However, I wasn't able to find a set of answers on the website.

Any suggestions?


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alexbadmin
Charter Member
2379 posts		 May-15-09, 09:06 PM (EST)
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1. "RE: A Problem on an Infinite Checkerboard"
In response to message #0
 
   I added a proof at the bottom of the page


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Creative
Member since May-15-09
 May-22-09, 10:43 AM (EST)
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2. "RE: A Problem on an Infinite Checkerboard"
In response to message #1
 
   Thanks.

Can I ask a question?

if the numbering starts at 0 rather than 1, that means we should take m=99 and n=999 shouldn't we?


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alexbadmin
Charter Member
2379 posts		 May-22-09, 10:45 AM (EST)
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3. "RE: A Problem on an Infinite Checkerboard"
In response to message #2
 
   Yes, I believe so.


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Creative
Member since May-15-09
 May-22-09, 01:34 PM (EST)
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4. "RE: A Problem on an Infinite Checkerboard"
In response to message #3
 
   so will the proof you provided still work?

hmm it's hard to believe there can be such a big mistake on the website though...l


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alexbadmin
Charter Member
2379 posts		 May-22-09, 01:37 PM (EST)
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5. "RE: A Problem on an Infinite Checkerboard"
In response to message #4
 
   >so will the proof you provided still work?
>

Well, try it. Form a small table and see if the proof works. BTW, there is a parenthized remark about that case.

>hmm it's hard to believe there can be such a big mistake on
>the website though...l

Here you lost me. What mistake are you talking about?


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