Building round robins for 2-team-per-game tournaments

In a round robin, each team should play every other team exactly once. If there are two teams per game, this is relatively simple to achieve. Below is an example for a tournament with six teams.

First, each team plays the team immediately above/below them:

		Game
		A	B	C	D	E	F
Team	1	R					G
	2	G	R
	3		G	R
	4			G	R
	5				G	R
	6					G	R

After this, we can see that team 1 has played teams 2 and 6; team 2 has played teams 1 and 3; and so on.
Now we need the same again, but each team plays the team two spots above/below:

Game

G H I J K L

Team 1 R G

2 R G

3 G R

4 G R

5 G R

6 G R

After this, we can see that team 1 has played teams 3 and 5, and so on. So team 1 has now played every team except team 4.
So we need one more group, in which each team plays the team three spots above/below:

Game

M N O

Team 1 R

2 R

3 R

4 G

5 G

6 G

	Game
Team	1	R
2		R
3			R
4	G
5		G
6			G

Note that for an even number of teams, this last group contains half as many games, because 1 versus 4 is the same as 4 versus 1.
Now every team has played every other team exactly once. For n teams each team plays n - 1 games (because they have n - 1 opponents, each of which they play once), and the whole tournament takes ¹/₂ n (n - 1) games.
Next, a bunch of tables showing round robins for specific numbers of teams. Note that in most of the following grids, the first group has been rearranged to minimise back-to-back games, where one team plays twice in a row.

Index