I want to set up a rotation for my 6 team members to meet for lunch each month

Question

I have a team of $6$ that will meet in pairs of $2$ each month ($3$ groups each month) throughout the year. How do I set up a rotation to distribute?

Answer 1

One way of doing this: imagine them sitting at a dining table, with 3 chairs on each side. The people sitting facing each other are the pairs you form for your first round of meetings. Now fix one person in their seat. After each round, the other 5 rotate one position to the right, skipping over the person fixed to their seat.

This gives you all possible pairs precisely once. (This works for any even number of people, not just 6.)