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# Chess Piece-Wise Project

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by

Tweet## Mohammad Farooq

on 9 January 2013#### Transcript of Chess Piece-Wise Project

Chess Piece-Wise Project Rook Moves horizontally or vertically

any number of squares By:

Mohammad Farooq

Danielle Hermino

Pranav Subramanian

Lex Tong {14, if 1<=x <=64 King Moves in any direction (horizontally, vertically, or diagonally); can move exactly one square { 3, if 1<=x<=45

5, if 5<=x<=28

8, if 29<=x<=64 Queen Moves in any direction (horizontally, vertically, or diagonally); can move any number of squares at a time. { 21, if 1<=x <=28

23, if 29<=x <=48

25, if 49<=x <=60

27, if 61<=x <=64 White Bishop Moves only diagonally, can

move any number of squares Knight Moves in an L shape (in one move, the Knight can move vertically two squares and then horizontally one square or horizontally two squares and then vertically one square) { 2, if 1<=x <=4

3, if x = 5, 10, 11, 16, 17, 22, 23, 28

4, if 6<=x <=9, 12<=x <=15, 18<=x <=21, 24<=x <=27, x=29, 34, 39, 44

6, if 30<=x <=33, 35<=x <= 38, 40<=x <=43, 45<=x <=48

8, if 49<=x <=64 Black Bishop 7, if x= 1, 3, 6, 8, 10, 11, 13, 15, 18, 20, 22, 23, 25, 27

9, if 29 <= x <= 47 and x is odd; x%2= 1 (odd)

11, if 49 <= x <= 69 and x is odd; x%2= 1 (odd)

13, if x= 61, 63 Moves only diagonally, can move

any number of squares { 7, if x = 2, 4, 5, 7, 9, 12, 14, 16, 17, 19, 21, 24, 26, 28

9, if 30<=x <=48 and x is even; x%2= 0 (even)

1, if 50<=x <=60 and x is even; x%2= 0 (even)

13, if x = 62, 64 { Squares 1-28: 7 Possible Moves Bishop Relationships Between Functions Bishop Squares 29-48: 9 Possible Moves Knight Knight Knight Knight Knight Knight Squares 5, 10, 11, 16, 17, 22, 23, 28: 3 Possible Moves Squares 1-4: 2 Possible Moves Knight Squares 6-9, 12-15, 18-21, 14-27, 29, 34, 39, 44: 4 Possible Moves Squares 30-33, 35-38, 40-43, 45-48: 4 Possible Moves Squares 49-64: 8 Possible Moves Queen King Squares 1-4: 3 Possible Moves King Squares 5-28: 5 Possible Moves Rook King Squares 29-64: 8 Possible Moves King Squares 1-28: 21 possible moves Squares 1 - 64: 14 Possible moves Queen Queen Squares 49-60 : 25 Possible Moves Squares 29-48: 23 Possible Moves Bishop White Bishop Black Bishop Knight King Rook Queen The rook always has 14 possible moves, no matter which square it is on If the King or Knight is in one of the numbered spaces between 49 and 64 they will have the same number of possible moves, 8 Rook + Bishop = Queen, Therefore Rook=Queen- Bishop and Bishop=Queen - Rook Squares 49-60: 11 Possible Moves Bishop Squares 61-64: 13 Possible Mvoes Space Number Number of Moves Space Number Number of Moves Space Number Number of Moves Space Number Number of Moves Space Number Number of Moves Number of Moves Space Numbers

Full transcriptany number of squares By:

Mohammad Farooq

Danielle Hermino

Pranav Subramanian

Lex Tong {14, if 1<=x <=64 King Moves in any direction (horizontally, vertically, or diagonally); can move exactly one square { 3, if 1<=x<=45

5, if 5<=x<=28

8, if 29<=x<=64 Queen Moves in any direction (horizontally, vertically, or diagonally); can move any number of squares at a time. { 21, if 1<=x <=28

23, if 29<=x <=48

25, if 49<=x <=60

27, if 61<=x <=64 White Bishop Moves only diagonally, can

move any number of squares Knight Moves in an L shape (in one move, the Knight can move vertically two squares and then horizontally one square or horizontally two squares and then vertically one square) { 2, if 1<=x <=4

3, if x = 5, 10, 11, 16, 17, 22, 23, 28

4, if 6<=x <=9, 12<=x <=15, 18<=x <=21, 24<=x <=27, x=29, 34, 39, 44

6, if 30<=x <=33, 35<=x <= 38, 40<=x <=43, 45<=x <=48

8, if 49<=x <=64 Black Bishop 7, if x= 1, 3, 6, 8, 10, 11, 13, 15, 18, 20, 22, 23, 25, 27

9, if 29 <= x <= 47 and x is odd; x%2= 1 (odd)

11, if 49 <= x <= 69 and x is odd; x%2= 1 (odd)

13, if x= 61, 63 Moves only diagonally, can move

any number of squares { 7, if x = 2, 4, 5, 7, 9, 12, 14, 16, 17, 19, 21, 24, 26, 28

9, if 30<=x <=48 and x is even; x%2= 0 (even)

1, if 50<=x <=60 and x is even; x%2= 0 (even)

13, if x = 62, 64 { Squares 1-28: 7 Possible Moves Bishop Relationships Between Functions Bishop Squares 29-48: 9 Possible Moves Knight Knight Knight Knight Knight Knight Squares 5, 10, 11, 16, 17, 22, 23, 28: 3 Possible Moves Squares 1-4: 2 Possible Moves Knight Squares 6-9, 12-15, 18-21, 14-27, 29, 34, 39, 44: 4 Possible Moves Squares 30-33, 35-38, 40-43, 45-48: 4 Possible Moves Squares 49-64: 8 Possible Moves Queen King Squares 1-4: 3 Possible Moves King Squares 5-28: 5 Possible Moves Rook King Squares 29-64: 8 Possible Moves King Squares 1-28: 21 possible moves Squares 1 - 64: 14 Possible moves Queen Queen Squares 49-60 : 25 Possible Moves Squares 29-48: 23 Possible Moves Bishop White Bishop Black Bishop Knight King Rook Queen The rook always has 14 possible moves, no matter which square it is on If the King or Knight is in one of the numbered spaces between 49 and 64 they will have the same number of possible moves, 8 Rook + Bishop = Queen, Therefore Rook=Queen- Bishop and Bishop=Queen - Rook Squares 49-60: 11 Possible Moves Bishop Squares 61-64: 13 Possible Mvoes Space Number Number of Moves Space Number Number of Moves Space Number Number of Moves Space Number Number of Moves Space Number Number of Moves Number of Moves Space Numbers