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Guest Message by DevFuse

# Minor pieces on a chessboard

Best Answer bonanova, 11 April 2014 - 11:05 AM

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5 replies to this topic

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Posted 03 April 2014 - 12:53 PM

Consider a an infinite chessboard.

How many squares can a knight reach after precisely n moves?

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### #2 bonanova

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Posted 03 April 2014 - 05:38 PM

Spoiler for Looks like

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #3 BobbyGo

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Posted 04 April 2014 - 03:42 PM

Spoiler for Not a Complete Answer...but

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Posted 04 April 2014 - 07:59 PM

Spoiler for Looks like

Spoiler for Not a Complete Answer...but

Both are well said but there seems to be disagreement as to the knight moves; however the balancing issue that BobbyGo references may be an issue resolved by Bonanova's equation.

Edited by BMAD, 04 April 2014 - 08:01 PM.

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### #5 bonanova

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Posted 10 April 2014 - 08:55 AM

Spoiler for on futher consideration

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #6 bonanova

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Posted 11 April 2014 - 11:05 AM   Best Answer

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

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