What class (mathematics, science, history, etc) are you doing this project for?
Chess Project
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This is for my gifted and talented class. We are allowed to do any subject pertaining to school, so i chose this. I need to have a proposal by Tuesday.
Piece movement and square coverage may be the key here. knights, for example, can be sitting a square away from the the piece they want to attack but because of the way in which the Knight moves, it takes a few moves to be in a position to attack the piece. You could compare the way each piece moves. Knights and Bishops have the same relative value, but their value greatly changes when the game is open or closed. A piece's position on the board dictates the number of squares it controls. Thus, its placement on the board's matrix determines if maximum efficiency.
If you want to do a combination of geometry and statistical analysis, place each piece on the board or geometric matrix and do a study of how much space they control. You could look at the relation between single piece attacks and combinations of pieces. Google "mathematical relationships and chess." It sounds like a great project. I teach chess for a living and may have my students start exploring this idea. Thanks, you taught me something new today!
I think tactics may be what you're looking for, but I'm not sure. 
http://www.chesstactics.org/index.php?Type=page&Action=none&From=1,3,1,1
Hugh_T_Patterson wrote:
Piece movement and square coverage may be the key here. knights, for example, can be sitting a square away from the the piece they want to attack but because of the way in which the Knight moves, it takes a few moves to be in a position to attack the piece. You could compare the way each piece moves. Knights and Bishops have the same relative value, but their value greatly changes when the game is open or closed. A piece's position on the board dictates the number of squares it controls. Thus, its placement on the board's matrix determines if maximum efficiency.
If you want to do a combination of geometry and statistical analysis, place each piece on the board or geometric matrix and do a study of how much space they control. You could look at the relation between single piece attacks and combinations of pieces. Google "mathematical relationships and chess." It sounds like a great project. I teach chess for a living and may have my students start exploring this idea. Thanks, you taught me something new today!
Yes! This is exactly what I was trying to wrap my mind around. I was thinking about running about 10 comp v. comp games to be able to demonstrate positions in a real game. Thanks, I was kind of having "project block". I'm glad that people on here are trying their best to help. A small town in NE PA doesn't really have that many knowlegable chess instrutors.
Hello, I am a 8th grade gifted and talented student doing a project about chess. I'm relating it to spacial geometry, treating the board as an 8x8 grid, writing algebraic notation for each, and writing functions/algorithms to facilitate moving. I was thinking about testing and researching maximum coverage of certain pieces, but i'm unsure if that will go anywhere. Does anyone have any ideas of chess topics i may use as a subject to test?