Without going into a lot of detail that is irrelevant to the situation I would will try to explain what I am trying to do.
I want to host a 2v2 round robin style tournament. However, in this 2v2 there are two groups and the people who belong to those groups, stay in those groups for the entirety of the tournament. Let's call this group numbers and group letters. Each team consists of a letter and a number. So to successfully pull off this round robin, every letter will play with ever number exactly once. This and of itself is easy to re-create. However, the stuggle consists of when you have to try and make sure that the distribution of opponents is somewhat even. (example: Letter A doesn't face letter B 4 times but doesn't ever play letter E or I). I will share some pictures in order to better illustrate my work so far.
My first picture demonstrates every possible number/letter combination. There are 100 total combinations (10x10). The colors represent 'rounds'. No letter or number can play multiple times in the same round so it's important that no letter or number gets repeated in a round.
The second picture involves extrapolating all of the alike colors or rounds to better visualize the rounds that need to be played.
All of this said, I am having a hard time figuring out how to most fairly match opponents evenly. Yes, I did bust out a pencil and I found a way that it's acceptable. However, this is merely IF 20 people show up. I need to be more flexible in allowing for a wide range of players and find a way to expedite the process. Any ideas?
I want to host a 2v2 round robin style tournament. However, in this 2v2 there are two groups and the people who belong to those groups, stay in those groups for the entirety of the tournament. Let's call this group numbers and group letters. Each team consists of a letter and a number. So to successfully pull off this round robin, every letter will play with ever number exactly once. This and of itself is easy to re-create. However, the stuggle consists of when you have to try and make sure that the distribution of opponents is somewhat even. (example: Letter A doesn't face letter B 4 times but doesn't ever play letter E or I). I will share some pictures in order to better illustrate my work so far.
My first picture demonstrates every possible number/letter combination. There are 100 total combinations (10x10). The colors represent 'rounds'. No letter or number can play multiple times in the same round so it's important that no letter or number gets repeated in a round.
The second picture involves extrapolating all of the alike colors or rounds to better visualize the rounds that need to be played.
All of this said, I am having a hard time figuring out how to most fairly match opponents evenly. Yes, I did bust out a pencil and I found a way that it's acceptable. However, this is merely IF 20 people show up. I need to be more flexible in allowing for a wide range of players and find a way to expedite the process. Any ideas?
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