Dr Ian Vincent reveals the mechanism for deriving the matches in the Process-half of a Draw and Process competition.

The numbers in the process table can be derived from the draw by the following algorithm:

1. Deduct 1 from the Draw position (i.e. label the players from 0 to 2(N-1))
2. Express the result in binary.
3. Reverse the order of the bits.
4. Convert back to decimal
5. Add one, to give the position of that player in the Process.

Thus in the example of the seeding positions quoted for the 16 player draw:

This shows the underlying symmetry between the two draws and illustrates why 6 and 11 are special: they are an inverse pair the maximal distance apart from 1 and 16. Other inverse pairs, such as 0111 (8) and 1110 (15) have one of their members too close to one of the top two seeds.