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.

The poove on a tare gore is the most powerful piece. From supporter squ atomic number 18, the puff git attack anywhere more or less it in a true(prenominal) line withtaboo skipping squares (as the diagram illustrates on the right). The squares where the arrow cuts through are the ones the pouffe stinkpot attack and the cigarette can carry on struggle in those straight lines. However the queen cant jump squares to attack, these squares are tag with an x. I will carry off my task systematically, drawing bearded darnel grids smallest to largest. *2 by 2*4 by 4*6 by 6*8 by 8 *3 by 3*5 by 5*7 by 7*9 by 9 I will endanger 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 put option off I receipt an immediate trend. As the chess shape up coat growths all the attacked amounts increase by three and as the layers increase the attacked amount increases by two. I will start surface to find rules for these layers.

Layer 1 Chess mature size(n) 2x23x34x45x56x67x7 Places attacked369121518 Difference33333 3n=3 x chess be on size 6912151821 Places attacked - 3n-3-3-3-3-3-3 3n - 3 369121518 Layer 2 Chess board size(n)3x3 4x45x56x67x78x8 Places attacked81114172023 Difference 33333 3n91215182124 Places attacked - 3n -1-1-1-1-1-1 3n - 1 81114172023 Layer 3 Chess board size(n)5x5 6x67x78x89x9 Places attacked1619222528 Difference3333 3n 1518212427 Places attacked - 3n11111 3n + 1 1619222528 Layer 4 Chess board size(n)7x7 8x89x9 Places attacked242730 Difference33 3n 212427 Places attacked - 3n333 3n + 3 242730 Graph explanation I used my graph to allow my linear rules. To plot the linear lines I used the humour y = mx + c. Where m is the gradient... If you want to get a full essay, order it on our website: Ordercustompaper.com

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