Can You Solve The Knight On A Chessboard Riddle? Math Olympiad Problem

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dadoom

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aloha to all, let 2019 be full of health, dancing, joyful moments, riddles & good old chess moves, so have some epic fun + feel free to post YOUR favorite chess+math content herehappy.png

Aloha (/ɑːˈloʊhɑː/; Hawaiian: [əˈlōˌhä]) is the Hawaiian word for love, affection, peace, compassion & mercy, that is commonly used as a simple greeting but has a deeper cultural & spiritual significance to native Hawaiians.

A greeting of love and compassion; also means "to be in the presence of the divinity" or in the presence of (alo) the "divine breath of life" (Ha).

dadoom

Can You Solve The Knight On A Chessboard Riddle? Math Olympiad Problem

Alice and Bob are playing a game. Alice starts by placing a knight on the chessboard. Then they take turns moving the knight to a new square (standard chess rules apply: the knight moves in an "L" shape). The first player who cannot move the knight to a new square loses the game. Who wins if both players play optimally, and what is the winning strategy? This is quite the game theory challenge; watch the video for the remarkable solution!

dadoom

Knight's Tour - Numberphile:

The first magic tour has an error with 62 and 64 transposed....
See here: http://periodicvideos.blogspot.co.uk/.

Brown papers: http://bit.ly/brownpapers

dadoom

Some good knight's tour links:
Great overview by Ben Hill and Kevin Tostado: http://bit.ly/1hYHoLE
Notes and huge resource by George Jelliss: http://bit.ly/1kCGGWp
Paper on using "ants" to find knight's tours: http://bit.ly/1cqxcUd
Good stuff on Magic Knight's Tours: http://bit.ly/1apxScE
On the number of knight's tours: http://bit.ly/Lj4NKh

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

The game theory books:
https://mindyourdecisions.com/blog/20.

Alternate proof/other board sizes
https://math.stackexchange.com/questi.

https://puzzling.stackexchange.com/qu.

dadoom

The 8 Queen Problem - Numberphile:

Yudodattome

here is 8 queen problem solution

 

dadoom
smart57 wrote:

here is 8 queen problem solution

 

Bravo for YOU Samarththumbup.png

+ here's another solution:

dadoom

+ more solutions for 8-Queen problem:

dadoom

+ more&more endless solutions:

dadoom
...
Yudodattome

@dadoom

the first solution you put for 8 queens is not a solution i think, because queens on a8 and h1 are attacking each other

dadoom
smart57 wrote:

@dadoom

the first solution you put for 8 queens is not a solution i think, because queens on a8 and h1 are attacking each other

i missed that detail@first, thanks for the correction by your side, so i put another one/representing Queen Puzzle to comment number 7