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 chess gore is the virtually powerful piece. From whizz squ be, the puff git attack anyplace around it in a unfeigned line withtaboo skipping self-coloreds (as the plat illustrates on the right). The squares where the arrow cuts through are the ones the queen tolerate attack and the queen can carry on fight in those straight lines. However the queen cant jump squares to attack, these squares are marked with an x. I pass on carry out my occupation systematically, drawing chess 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 display how many an(prenominal) places a queen can attack from a minded(p) square by writing the attacked amount in the square from were she attacked. Table beguiler Board SizeSquares attacked from Layer 1234 2x23--- 3x368-- 4x4911-- 5x5121416- 6x6151719- 7x718202224 8x821232527 9x924262830 From my put wrap up I notice an immediate t rend. As the chess contour line up coat increases all the attacked amounts increase by ternary and as the layers increase the attacked amount increases by two. I will start out to find rules for these layers. Layer 1 Chess board size(n) 2x23x34x45x56x67x7 Places attacked369121518 rest33333 3n=3 x chess board 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 graphical record explanation I used my graph to stomach my elongated rules. To plot the linear lines I used the mode y = m x + c. Where m is the gradient... ! If you want to get a wide-eyed essay, order it on our website: OrderCustomPaper.com

If you want to get a full essay, visit our page: write my paper