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29. Can the King and all the remaining 7 powers be placed on a Chess Board such that each and everyone of the remaining 56 squares is under the line of attact of either the King or any of the powers? Post your solution.
30. What is 'smothered mate'?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Why did the vector cross the road?
It wanted to be normal.
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Answer to # 29:-
Well done, mathsyperson! Your solution works!
PS:- Thanks, TheDude for using the hide tag.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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31. The Black King in starting square. The Queen Bishop in starting square. The Queen Rook pawn in starting square. The white King in starting position. Can the White King be checkmated in 50 moves? White to play.
32. The Black King in starting square. The Queen Knight in starting square. The Queen Rook pawn in starting square. The white King in starting position. Can the White King be checkmated in 50 moves? White to play.
(Questions 31 and 32 : Difficulty level : 2.5)
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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33. Theoretically, a lone king can be checkmated by the opponent King with a Bishop and a knight. Check if this is possible in 50 moves or less under the following conditions. Black King in starting position. Black King Bishop in starting position. Black King Knight in starting position. What king in starting position. White to play!
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
I won't hide the answer because no one is checking this topic anymore.
Answer to 33:
Generally an expert player (rating around 2000) could easily force mate from that position in under 50 moves. A grandmaster (rating about 2500 - 2600) could force mate in that position in under 35 moves. Most computer chess engines can do it in around 30 moves.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi ganesh;
A smothered mate is delivered by a knight to a king that is totally surrounded by pieces or pawns. This is a short example:
1.e4 c6 2.d4 d5 3.Nc3 dxe4 4.Nxe4 Nd7 5.Qe2!? Ngf6?? 6.Nd6 mate.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#34. If a king is on the same line as a piece that can threaten it in that direction, but has one of it's own pieces protecting it, that piece (the protecting piece) is only allowed to move to squares on that line, if the enemy king is in a place where it is threatened by the protecting piece, the protecting piece can't capture the king because that would put it's own king in check, so is the the king (enemy king) in check?
Why did the chicken cross the Mobius Band?
To get to the other ...um...!!!
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Hi wintersolstice;
Yes, he is in check and must move the king or capture the piece giving check or interpose a piece or pawn.
Last edited by bobbym (2009-06-16 09:12:49)
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi Ganesh,
Funtastic Qn.
Ans 1. start from one corner. go in Zig zag order.
2. Next time..!!!!!!!!!!!!!!!!!!!
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Hi johnkv;
Ans 1 is not that simple.
1. On an empty chess board, place the knight on any one square. Cover all the remaining 63 squares in exactly 63 moves without moving to the square you've already been in.
(a) Can this be done?
(b) If so, how?
Here is a knight tour. Start at 1 and each successive number is a knight move.Each square is covered once and only once. It takes 63 moves.
Last edited by bobbym (2009-08-08 10:37:29)
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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