Posers and Puzzles
26 Apr 03
26 Apr 03
Originally posted by StarValleyWyThe problem can be solved combinatorially if I had phrased it properly. When I say 'how many first rounds' I mean how many pairings are possible fro 2n players. Thank you for you congratulating me. I like the fractal too; you have good taste in computer-generated approximations to mathematical models of chaotic phenomena resulting from simple algebra 😉. Now if I can find a picture of myself that is not ASCII-ugly, I will put it in my profile 😉.
No clue on the problem. A feeling that it would be a series that somehow iterates on 3 because of that being the number of valid types of endings to a chess game? Just wanted to congratulate you on your star. Like the fractal too.
26 Apr 03
Originally posted by royalchickenYou can't mean how many possible first-round pairings are there from a pool with 2n contestants. Are you asking for a function that maps from the number of contestants to the number of unique final tournament tables (i.e., tables showing the progression from the first round of the tournament to its conclusion)?
The problem can be solved combinatorially if I had phrased it properly. When I say 'how many first rounds' I mean how many pairings are possible fro 2n players. Thank you for you congratulating me. I like the fractal too; you have good taste in computer-generated approximations to mathematical models of chaotic phenomena resulting from simple algeb ...[text shortened]... . Now if I can find a picture of myself that is not ASCII-ugly, I will put it in my profile 😉.
26 Apr 03
Originally posted by bbarrWhy can't he ?
You can't mean how many possible first-round pairings are there from a pool with 2n contestants. Are you asking for a function that maps from the number of contestants to the number of unique final tournament tables (i.e., tables showing the progression from the first round of the tournament to its conclusion)?
26 Apr 03
1 edit
Originally posted by bbarrNo; I'm asking for how many different sets of first-round games there can be, given that p games must be played, each player plays exactly once, and each player can either be black or white.
You can't mean how many possible first-round pairings are there from a pool with 2n contestants. Are you asking for a function that maps from the number of contestants to the number of unique final tournament tables (i.e., tables showing the ...[text shortened]... ression from the first round of the tournament to its conclusion)?
26 Apr 03
3 edits
Originally posted by royalchickenthe total number of possible pairings is 2(2p-1)-i think...hey-i'm bored and i can't be bothered thinking much justnow...😕
No; I'm asking for how many different sets of first-round games there can be, given that n games must be played, each player plays exactly once, and each player can either be black or white.