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Ben Reiniger wrote on Sun, May 13, 2018 10:06 PM EDT:I've heard similar ideas for bigger versions of Bughouse chess, but I don't think I've heard it in connection to tournament design. I guess you could just do one trio and the rest usual Basque doubles, allowing any odd number of players?
I'm not entirely sure that a longer cycle like this would balance things as well; it makes it easy to balance the number of games played as black/white, but not against each player...
It will still require the number of participants to be non-prime :)!
You probably could make the pairing work and allow players who have played before to play with reverse colors. It probably can be done but it requires some combinatorics, I have not done the work :)!
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A thought has crossed my mind just now.
Understanding of this comment requires understanding of the concept of Basque chess : https://en.wikipedia.org/wiki/Glossary_of_chess (just ctrl+F Basque chess)
I was thinking about making the pairs in regular Basque chess change to triplets or more. Here is what I'm thinking in terms of triplets :
P1 plays white against P2
P2 plays white againt P3
P3 plays white agains P1
for n-tuplets the thing goes like this
P1 plays white against P2
P2 plays white against P3
P3 plays white against P4
...
Pn-1 plays white against Pn
Pn plays white against P1
This may be useful in Swiss tournaments where there are a non-prime odd number of players :)!
Any thoughts?