To find rules for the number of squares a queen can attack from a point on a chess board and the minimum and maximum squares a queen can attack from a given rectangular chessboard.
Date Submitted: 11/19/2004 22:57:21
Category: / Science & Technology / Mathematics
Length: 5 pages (1256 words)
Category: / Science & Technology / Mathematics
Length: 5 pages (1256 words)
The queen on a chess board is the most
powerful piece. From one square, the queen can
attack anywhere around it in a straight line
without skipping squares (as the diagram
illustrates on the right). The squares where the
arrow cuts through are the ones the queen can
attack and the queen can carry on attacking in
those straight lines. However the queen can't jump squares to attack,
these squares are marked with an x.
…
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…are left with the formula:
n+2n-3=3n-3
.*. 3n-3=3n-3
And so I've proved a square is a special rectangle.
From my extensional investigation, I have come to realise and prove how a square is a special rectangle with many more qualities. It has four lines of symmetry, all four sides are equal, and it has a rotational symmetry of 4.
Note: Pictures are missing as I couldn't paste them in, sorry. Please dont blatently copy.
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