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Tournament blocks: Difference between revisions
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(I'm working on this to include more matchups, and what to do with some that may end up deleted. WIP, comment to me but don't muck the tables.) |
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==== Simplest solution: Dutch cycles ==== | ==== Simplest solution: Dutch cycles ==== | ||
{| class="wikitable" style="float:right; margin-left: 10px; width: 30%;" | |||
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! Round !! Table !! East !! South !! West !! North | |||
|- | |||
| 1 || 1 || 01 || 12 || 23 || 34 | |||
|- | |||
| 2 || 2 || 13 || 01 || 25 || 37 | |||
|- | |||
| 3 || 3 || 27 || 40 || 01 || 14 | |||
|- | |||
| 4 || 4 || 43 || 29 || 15 || 01 | |||
|- | |||
| 5 || 5 || 01 || 16 || 31 || 35 | |||
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|colspan=6| '''Notes:''' This is a sample of the table matching for a 44-person tournament. As players are evenly divided in 4 blocks of shifting players, when a block exceeds the size allotted, players shuffle back. E.g.: On table 5 above, the 4th block comprises of playres 34 to 44. One group is moving forward in steps of 3, and 43+3 is 46. Naturally, there is no player 46 to take that seat and is filled with the 2nd player (44+2) of that block, player 35.<br/> | |||
'''Balances achieved:''' Opponent, Wind, Table. This match-up is solved '''if''' the number of players is sufficiently large or prime. Works for 7 (maybe more) hanchan for 28, 44, 52, 56, 64, 68, 76++. Works for 6 hanchan with 72. Works for 5 hanchan with 20, 40, 60. Do not use with 24, 32, 36, 48.<br/> | |||
'''Source:''' [[User:Senechal]]. | |||
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Dutch cycles (also called ____) serve a purpose of fairly distributing players across a set number of games, all while reducing/preventing repeats between pairs of players. This system works best when prime factors are in play, but breaks down when composite factors are used. Large player bases can mitigate some issues. | Dutch cycles (also called ____) serve a purpose of fairly distributing players across a set number of games, all while reducing/preventing repeats between pairs of players. This system works best when prime factors are in play, but breaks down when composite factors are used. Large player bases can mitigate some issues. | ||