- #1
Quinn Liu
- 2
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Hi everyone,
I hope your summer is going well. My name is Quinn and I am currently a junior CS and math major at VT. This summer I am doing some brain simulation research and I have come across a Combinatorics arrangement problem that I am stuck on. I was hoping someone here could shed some light with your expertise.
- Imagine you have an 8x8 empty chessboard.
- You have just 10 pawns that will be unique because they will be placed at a unique position on the chessboard.
QUESTION: How many different unique ways can I place those 10 pawns on the chessboard where each pawn is at least some variable D(straight line) distance away from any of the other pawns?
Additional notes:
- If you don't have the time to solve this problem could you please let me know what subfield of Combinatorics I can learn to solve this problem?
- Lastly, if the above problem is too difficult, how would you do this if instead of a chessboard that is 8x8, but have a very long board that is 64 x 1 in dimensions?
Thank you very much for your time,
Quinn Liu
Virginia Tech
walnutiq.com
quinnliu@vt.edu
I hope your summer is going well. My name is Quinn and I am currently a junior CS and math major at VT. This summer I am doing some brain simulation research and I have come across a Combinatorics arrangement problem that I am stuck on. I was hoping someone here could shed some light with your expertise.
- Imagine you have an 8x8 empty chessboard.
- You have just 10 pawns that will be unique because they will be placed at a unique position on the chessboard.
QUESTION: How many different unique ways can I place those 10 pawns on the chessboard where each pawn is at least some variable D(straight line) distance away from any of the other pawns?
Additional notes:
- If you don't have the time to solve this problem could you please let me know what subfield of Combinatorics I can learn to solve this problem?
- Lastly, if the above problem is too difficult, how would you do this if instead of a chessboard that is 8x8, but have a very long board that is 64 x 1 in dimensions?
Thank you very much for your time,
Quinn Liu
Virginia Tech
walnutiq.com
quinnliu@vt.edu