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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 cant jump squares to attack these squares are marked with an x I will carry out my task systematically drawing chess grids smallest to largest 2 by 24 by 46 by 68 by 8 3 by 35 by 57 by 79 by 9 I will display how many places a queen can attack from a given square by writing the attacked amount in the square from were she attacked Table Chess Board SizeSquares attacked from Layer 1234 2x23--- 3x368-- 4x4911-- 5x5121416- 6x6151719- 7x718202224 8x821232527 9x924262830 From my table I notice an immediate trend As the chess board size increases all the attacked amounts increase by three and as the layers increase the attacked amount increases by two I will attempt to find rules for these layers Layer 1 Chess board sizen 2x23x34x45x56x67x7 Places attacked369121518 Difference33333 3n3 x chess board size 6912151821 Places attacked - 3n-3-3-3-3-3-3 3n - 3 369121518 Layer 2 Chess board sizen3x3 4x45x56x67x78x8 Places attacked81114172023 Difference 33333 3n91215182124 Places attacked - 3n -1-1-1-1-1-1 3n - 1 81114172023 Layer 3 Chess board sizen5x5 6x67x78x89x9 Places attacked1619222528 Difference3333 3n 1518212427 Places attacked - 3n11111 3n 1 1619222528
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