Twin Mitchells are set up, one of them a hesitation 3 table movement and the other a 4 table movement.
If one mentally exchanges the pairs represented above as F and 5, it can be readily seen that there is a pattern. There are three groups of pairs: 1, 2, 3; 4, 5, 6; and 7, 8, 9. At the end of each lap these groups rotate about each other, i.e. 1, 2. 3 replace 7, 8, 9; 7, 8, 9 replace 4, 5, 6; and 4, 5, 6 replace 1, 2, 3.
Similarly for the next lap. So that pairs do not meet each other twice it is necessary to introduce a type of fixed resident (F). This pair always starts a lap at N-S table 2 in the hesitation Mitchell, the pair so displaced moving to N-S at table 4 in the Mitchell and staying there for this lap. As table 2 in the hesitation Mitchell is the table at which the E-W pairs switch directions (or hesitate for one round), the fixed resident is only fixed in the sense that this pair always start at that position, but move as a normal E-W pair on each lap.
