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Re: # of Divisions at Championships
Regarding tournament formats and Einstein:
A 5-alliance round robin (best of 1) requires 10 matches.
A 6-alliance round robin (best of 1) requires 15 matches.
A 5-alliance round robin (best 2 of 3) requires 20-30 matches
A 6-alliance round robin (best 2 of 3) requires 30-45 matches
A 4-alliance single elimination tournament (best 2 of 3) requires 6-9 matches
A 8-alliance single elimination tournament (best 2 of 3) requires 14-21 matches
A 4-alliance single elimination tournament (2015 style "heats") requires 8-9 matches
A 8-alliance single elimination tournament (2015 style "heats") requires 16-17 matches
It's also worth noting that round robins can result in scenarios where the Champion is known prior to the last match. Did you think Einstein ending on a tie was anticlimactic? Knowing the winning before the last match would be even more so. Moreover, there will be scenarios in which teams have nothing to "play for" aside of being spoilers (they've already been eliminated, but their opponent still has a chance). Additionally, the closest to a "best of 1" format we've seen in FRC eliminations was the 2015 bracket, and even that was a hybrid formula between an elimination bracket and a round robin (at least in the semi-finals).
Granted, you can tack on an elimination tournament or finals match to the back-end of a round robin, but that increases the matches required and still doesn't solve concerns regarding "best of 1" and spoiler matches.
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