I have 24 teams that will rotate to 12 stations (2 teams per station) Teams will not compete against another team more than once.
closed as unclear what you're asking by MikeQ, feelinferrety, Beastly Gerbil, boboquack, JMP Sep 20 '17 at 0:09
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I got this trick from https://en.wikipedia.org/wiki/Edge_coloring#Examples.
Number the teams 1 to 24. Arrange teams 1 to 23 evenly spaced on the circumference of a circle, and place team 24 in the center.
On the $i$th round, for $i$ = 1, 2, ..., 23, have team 24 play against team $i$. For the other teams, divide them into pairs so that in each pair, the line connecting the two teams is perpendicular to the line connecting team $i$ to team 24. This means that team i – 1 plays i + 1, team i – 2 plays i + 2, and so on, where addition is modulo 23.