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Knights on a chess board


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8 replies to this topic

#1 Rainman

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Posted 11 September 2012 - 10:35 PM

What is the maximum number of knights you can place on a regular chess board, so that each square has at most one knight threatening or occupying it?
What is the minimum number of knights you can place on a regular chess board, so that each square has at least one knight threatening or occupying it?
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#2 Rob_Gandy

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Posted 11 September 2012 - 11:15 PM

Spoiler for Well for the minimum

Edited by Rob_Gandy, 11 September 2012 - 11:16 PM.

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#3 Rainman

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Posted 12 September 2012 - 12:31 AM

That's a good start, but it's not the minimum.
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#4 curr3nt

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Posted 12 September 2012 - 08:30 PM

Spoiler for The best minimum that I can get so far is...

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#5 curr3nt

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Posted 12 September 2012 - 08:39 PM

Spoiler for Scratch that...

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#6 Rainman

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Posted 12 September 2012 - 08:40 PM

Nice improvement, keep going ;)

Edit: scratch that, looks like you found the minimum :)

Edited by Rainman, 12 September 2012 - 08:42 PM.

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#7 Rob_Gandy

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Posted 12 September 2012 - 09:17 PM

Spoiler for A start for maximum

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#8 Rainman

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Posted 12 September 2012 - 09:43 PM

And that's the maximum, well done!
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#9 Rob_Gandy

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Posted 13 September 2012 - 01:24 AM

Spoiler for Scratch that...

Spoiler for A start for maximum


Spoiler for I just noticed something.

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