Scribd
Upload
742 views2 pages

Magicsquare and Triangulation

1. The document discusses the concept of a "magic square" which is used to determine if a passed pawn will be stopped or promote. A magic square is constructed based on the diagonal from the pawn to the promoting rank. If the defending king is within the square, it should draw. 2. There is an exception - if the pawn is on its starting rank, the magic square is constructed from the square one place ahead since it can move two squares initially. 3. The document also discusses the concept of "triangulation" to win material, showing an example where the white king maneuvers to capture a pawn.

Uploaded by

Dibyendu Konar
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
742 views2 pages

Magicsquare and Triangulation

1. The document discusses the concept of a "magic square" which is used to determine if a passed pawn will be stopped or promote. A magic square is constructed based on the diagonal from the pawn to the promoting rank. If the defending king is within the square, it should draw. 2. There is an exception - if the pawn is on its starting rank, the magic square is constructed from the square one place ahead since it can move two squares initially. 3. The document also discusses the concept of "triangulation" to win material, showing an example where the white king maneuvers to capture a pawn.

Uploaded by

Dibyendu Konar
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 2

Bengal Chess Wizard : Calculation(40−41)ans 1

Magic Square- 1

+ + + +
+ + + + + + + + 2

+ + + + 1
+ + + +
+ + + + + + + +
+ + + + + +
+ + + + + + + +
+ + + ! + +
+ + + + + + + + "-
+ + + +!" #$%&'()*+,
#$%&'()*+, magic square of the passed pawn, so the
King was able to catch the pawn and force
Magic squares are used to find whether or a draw. 1.h5 Ke5 2.h6 Kf6 3.h7 Kg7
not a passed pawn will promote or be ½-½
stopped by the opponent King. First,
imagine a diagonal extending from the
passed pawn to its promoting rank. Then, Magic Square- 3
based on that diagonal, construct a square.
This square is called magic square. If the
defending King lies within this square, then
it should be a draw, or else White should + + + +
win. (It should be noted that this method of
finding the fate of the pawn can be applied
+ + + + 3
only when the defending King has a clear + + + +
route to the pawn. If it is found that the path
of the defending King to the pawn is + + + +
interfered by the attacking King, then this + + + +
method cannot be used) 1...Kf4 2.a4 Ke5
3.a5 Kd6 4.a6 Kc7 5.a7 Kb7 Here Black + + +
was able to stop the White pawn because
his King was in its magic square.
+ + + +
½-½ + + + +!"-
#$%&'()*+,
Magic Square- 2 But there is an exception to this rule as
well! Look at this position. Here, the Black
King is in the magic square of the a-pawn,
(Diagram 2) but still he is not able to catch it. This is bec
ause when the pawn is on its starting rank,
In this position too, the Black King is in the then it can move two squares! 1.a4! Kf4

FA Amit K Biswas : 9830487824


Bengal Chess Wizard : Calculation(40−41)ans 2

2.a5 Ke5 3.a6 Kd6 4.a7 Kc7 5.a8Q


So, let us update the rule of the magic
square. When we are finding the magic + + + +
square of a pawn that is still on its starting
rank, then we should start drawing the
+ + + 5

diagonal from the square just one place .+ + + +


ahead of that pawn. In this case it was the
a3-square. After drawing the corresponding ! + +
magic square, we get the square a3-a8-f8- + + + +
f3. As we can see, the Black King was not
inside this new square, so Black was not + + + +
able to stop the pawn.
1-0
+ + + +
+ + + + "-
Triangulation- 1
#$%&'()*+,
able to bring the current position with Black
to play, then the previous objective will be
automatically realised.
+ + + + [ 1...Kd8? 2.Kd6 Kc8 3.c7+- ]
+ + + + 4
[ 1...Kb8 2.Kd6 Kc8 3.c7+- ]
2.Kd4 Kd8 3.Kc4 Kc8 4.Kd5! Kc7
+ + + + [ 4...Kd8 5.Kd6 Kc8 6.c7+- ]
5.Kc5! Kc8 6.Kb6 Kb8 7.Kxa6 Kc7
+ + + 8.Kb5+-
+ . + + 1-0
+ +!+ +
+ + + +
+ + + + "-
#$%&'()*+,
1.Kd2 Kf6 2.Ke2! Ke5 3.Kd3! Kd5
[ 3...Kf6 4.Kxd4+- ]
4.f6 Ke6 5.g5+-
1-0

Triangulation- 2

(Diagram 5)

White's objective is to bring this position


with Black to Play 1.Kd5 Kc8 If White is

FA Amit K Biswas : 9830487824

You might also like