Threesome-League with 8 or 10 Players

[Sifo-Dyas]

Hallo Board,
I Need help because of the corona-virus.
We Play in a Skat (german Card game) club and normaly, we meet in real life and can Play threesomes and Foursomes. Because of the corona-virus, we must not meet in bar and have to Play online. 

The Problem is, online you only can Play threesomes.

Because of this, I Need a round Robin schedule for 8 or 10 Players of threesomes, everybody Meeting any other Player the same number: (e.g. with 10 Players and a bye, every Player should Play every Opponent twice in 10 rounds).

Hope you can help me.
Thanks

[Ian Wakeling]

With 8 players there is no balanced schedule.  There are 28 possible pairs of players, while each threesome covers 3 pairs, however 28 (or 56 for play each other twice) is not divisible by 3.

For 10 players there is a balanced solution as follows:

(4 9 10) (2 3 7) (5 6 8) 1
(5 10 6) (3 4 8) (1 7 9) 2
(4 5 9) (1 6 7) (2 8 10) 3
(2 7 8) (5 1 10) (3 9 6) 4
(3 8 9) (1 2 6) (4 10 7) 5
(1 9 8) (2 4 5) (3 10 7) 6
(2 10 9) (3 5 1) (4 6 8) 7
(3 6 10) (5 7 9) (4 1 2) 8
(4 7 6) (1 8 10) (5 2 3) 9
(5 8 7) (1 3 4) (2 9 6)  10


Where the byes are in the last column.

Hope that helps.

[Sifo-Dyas]

Thank you very much :-)